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fractions.html
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<h3>Contents</h3>
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<div class="h2"><a href="#most-popular"> Most Popular Fractions Worksheets this Week</a></div>
<div class="h2"><a href="#fraction-circles">Fraction Circles</a></div>
<div class="h2"><a href="#fraction-strips">Fraction Strips</a></div>
<div class="h2"><a href="#modeling-fractions">Modeling fractions</a></div>
<div class="h2"><a href="#ratio-and-proportion">Ratio and Proportion Worksheets</a></div>
<div class="h2"><a href="#comparing-and-ordering-fractions">Comparing and Ordering Fractions</a></div>
<div class="h2"><a href="#simplifying-and-converting-fractions">Simplifying & Converting Fractions Worksheets</a></div>
<div class="h2"><a href="#multiplying-fractions">Multiplying Fractions</a></div>
<div class="h2"><a href="#dividing-fractions">Dividing Fractions</a></div>
<div class="h2"><a href="#multiplying-and-dividing-fractions">Multiplying and Dividing Fractions</a></div>
<div class="h2"><a href="#adding-fractions">Adding Fractions</a></div>
<div class="h2"><a href="#subtracting-fractions">Subtracting Fractions</a></div>
<div class="h2"><a href="#adding-and-subtracting-fractions">Adding and Subtracting Fractions</a></div>
<div class="h2"><a href="#all-operations-mixed-fractions-worksheets">All Operations Fractions Worksheets</a></div>
<div class="h2"><a href="#operations-with-negative-fractions">Operations with Negative Fractions Worksheets</a></div>
<div class="h2"><a href="#order-of-operations-with-fractions">Order of Operations with Fractions Worksheets</a></div>
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<p class="firstp">Welcome to the fractions worksheets page at Math-Drills.com where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets.</p>
<p>This page includes <span itemprop="description">Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions.</span> We start you off with the obvious: modeling fractions. It is a great idea if students can actually understand what a fraction is, so please do spend some time with the modeling aspect. Relating modeling to real life helps a great deal too as it is much easier to relate to half a cookie than to half a square. Ask most students what you get if you add half a cookie and another half a cookie, and they'll probably let you know that it makes one delicious snack.</p>
<p>The other fractions worksheets on this page are devoted to helping students understand the concept of fractions. From comparing and ordering to simplifying and converting... by the time students master the material on this page, operations of fractions will be a walk in the park.</p>
<div class="popular">
<h2 id="most-popular"><svg class="iconwhite size32 iorange"><use xlink:href="includes/symbol-defs.006.svg#icon-fire"></use></svg> Most Popular Fractions Worksheets this Week</h2>
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<a href="fractions/fractions_addsub_mixed_easy_001.html" title="Adding and Subtracting Two Mixed Fractions with Similar Denominators, Mixed Fractions Results and Some Simplifying (Fillable)"><figure><img src="fractions/images/fractions_addsub_mixed_easy_001_300.1698465726.jpg" alt="Adding and Subtracting Two Mixed Fractions with Similar Denominators, Mixed Fractions Results and Some Simplifying (Fillable)" loading="lazy" width="250" height="324"><figcaption>Adding and Subtracting Two Mixed Fractions with Similar Denominators, Mixed Fractions Results and Some Simplifying (Fillable) (<strong>1669 views this week</strong>)</figcaption></figure></a>
<a href="fractions/simplify_fractions_easy_001.html" title="Simplifying Proper Fractions to Lowest Terms (Easier Questions)"><figure><img src="fractions/images/simplify_fractions_easy_001_300.1675735265.jpg" alt="Simplifying Proper Fractions to Lowest Terms (Easier Questions)" loading="lazy" width="250" height="324"><figcaption>Simplifying Proper Fractions to Lowest Terms (Easier Questions) (<strong>1355 views this week</strong>)</figcaption></figure></a>
<a href="fractions/fractions_multdiv_001.html" title="Multiplying and Dividing Proper and Improper Fractions with Some Simplifying (Fillable)"><figure><img src="fractions/images/fractions_multdiv_001_300.1698465830.jpg" alt="Multiplying and Dividing Proper and Improper Fractions with Some Simplifying (Fillable)" loading="lazy" width="250" height="324"><figcaption>Multiplying and Dividing Proper and Improper Fractions with Some Simplifying (Fillable) (<strong>1171 views this week</strong>)</figcaption></figure></a>
<a href="fractions/fractions_multiply_proper_001.html" title="Multiplying Two Proper Fractions with No Simplification (Fillable)"><figure><img src="fractions/images/fractions_multiply_proper_001_300.1698465856.jpg" alt="Multiplying Two Proper Fractions with No Simplification (Fillable)" loading="lazy" width="250" height="324"><figcaption>Multiplying Two Proper Fractions with No Simplification (Fillable) (<strong>904 views this week</strong>)</figcaption></figure></a>
<a href="fractions/fractions_lowest_terms_easy_001.html" title="Reducing Fractions to Lowest Terms"><figure><img src="fractions/images/fractions_lowest_terms_easy_001_300.1675735264.jpg" alt="Reducing Fractions to Lowest Terms" loading="lazy" width="250" height="324"><figcaption>Reducing Fractions to Lowest Terms (<strong>850 views this week</strong>)</figcaption></figure></a>
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<h2 id="fraction-circles">Fraction Circles</h2>
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<img src="fractions/images/fraction_circles_small_labels_gray_300.004.jpg" alt="" width="250" height="324" loading="lazy">
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<li><p>Fraction circle manipulatives are mainly used for comparing fractions, but they can be used for a variety of other purposes such as representing and identifying fractions, adding and subtracting fractions, and as probability spinners. There are a variety of options depending on your purpose. Fraction circles come in small and large versions, labeled and unlabeled versions and in three different color schemes: black and white, color, and light gray. The color scheme matches the fraction strips and use colors that are meant to show good contrast among themselves. Do note that there is a significant prevalence of color-blindness in the population, so don't rely on all students being able to differentiate the colors.</p></li>
<li><p>Suggested activity for comparing fractions: Photocopy the black and white version onto an overhead projection slide and another copy onto a piece of paper. Alternatively, you can use two pieces of paper and hold them up to the light for this activity. Use a pencil to represent the first fraction on the paper copy. Use a non-permanent overhead pen to represent the second fraction. Lay the slide over the paper and compare the two circles. You should easily be able to tell which is greater or lesser or if the two fractions are equal. Re-use both sheets by erasing the pencil and washing off the marker.</p></li>
<li><p>Adding fractions with fraction circles will involve two copies on paper. Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work.</p></li>
<li><input type="checkbox" class="list-checkbox" id="fraction-circles-1"><label for="fraction-circles-1" class="wtitle">Small Fraction Circles</label>
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<a href="fractions/fraction_circles_small_labels_bw.html" class=""><strong>Small</strong> Fraction Circles in <strong>Black and White</strong> with Labels</a>
<a href="fractions/fraction_circles_small_labels_color.html" class=""><strong>Small</strong> Fraction Circles in <strong>Color</strong> with Labels</a>
<a href="fractions/fraction_circles_small_labels_gray.html" class=""><strong>Small</strong> Fraction Circles in <strong>Light Gray</strong> with Labels</a>
<a href="fractions/fraction_circles_small_nolabels_bw.html" class=""><strong>Small</strong> Fraction Circles in <strong>Black and White</strong> Unlabeled</a>
<a href="fractions/fraction_circles_small_nolabels_color.html" class=""><strong>Small</strong> Fraction Circles in <strong>Color</strong> Unlabeled</a>
<a href="fractions/fraction_circles_small_nolabels_gray.html" class=""><strong>Small</strong> Fraction Circles in <strong>Light Gray</strong> Unlabeled</a>
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<li><input type="checkbox" class="list-checkbox" id="fraction-circles-2"><label for="fraction-circles-2" class="wtitle">Large Fraction Circles</label>
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<a href="fractions/fraction_circles_001.html" class=""><strong>Large</strong> Fraction Circles in <strong>Black and White</strong> with Labels</a>
<a href="fractions/fraction_circles_color.html" class=""><strong>Large</strong> Fraction Circles in <strong>Color</strong> with Labels</a>
<a href="fractions/fraction_circles_gray.html" class=""><strong>Large</strong> Fraction Circles in <strong>Light Gray</strong> with Labels</a>
<a href="fractions/fraction_circles_nolabels_001.html" class=""><strong>Large</strong> Fraction Circles in <strong>Black and White</strong> Unlabeled</a>
<a href="fractions/fraction_circles_nolabels_color.html" class=""><strong>Large</strong> Fraction Circles in <strong>Color</strong> Unlabeled</a>
<a href="fractions/fraction_circles_nolabels_gray.html" class=""><strong>Large</strong> Fraction Circles in <strong>Light Gray</strong> Unlabeled</a>
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<h2 id="fraction-strips">Fraction Strips</h2>
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<img src="fractions/images/smart_fraction_strips_with_labels_color_300.004.jpg" alt="" width="250" height="324" loading="lazy">
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<li><p>Fractions strips are often used for comparing fractions. Students are able to see quite easily the relationships and equivalence between fractions with different denominators. It can be quite useful for students to have two copies: one copy cut into strips and the other copy kept intact. They can then use the cut-out strips on the intact page to individually compare fractions. For example, they can use the halves strip to see what other fractions are equivalent to one-half. This can also be accomplished with a straight edge such as a ruler without cutting out any strips. Pairs or groups of strips can also be compared side-by-side if they are cut out. Addition and subtraction (etc.) are also possibilities; for example, adding a one-quarter and one-third can be accomplished by shifting the thirds strip so that it starts at the end of one-quarter then finding a strip that matches the end of the one-third mark (7/12 should do it).</p></li>
<li><p>Teachers might consider copying the fraction strips onto overhead projection acetates for whole class or group activities. Acetate versions are also useful as a hands-on manipulative for students in conjunction with an uncut page.</p></li>
<li><p>The "Smart" Fraction Strips include strips in a more useful order, eliminate the 7ths and 11ths strips as they don't have any equivalents and include 15ths and 16ths. The colors are consistent with the classic versions, so the two sets can be combined.</p></li>
<li><input type="checkbox" class="list-checkbox" id="fraction-strips-3"><label for="fraction-strips-3" class="wtitle">Classic Fraction Strips with Labels</label>
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<a href="fractions/fraction_strips_blm_labeled.html" class="">Classic Fraction Strips in <strong>Black and White</strong> With Labels</a>
<a href="fractions/fraction_strips_color_labeled.html" class="">Classic Fraction Strips in <strong>Color</strong> With Labels</a>
<a href="fractions/fraction_strips_gray_labeled.html" class="">Classic Fraction Strips in <strong>Gray</strong> With Labels</a>
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<li><input type="checkbox" class="list-checkbox" id="fraction-strips-4"><label for="fraction-strips-4" class="wtitle">Unlabeled Classic Fraction Strips</label>
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<a href="fractions/fraction_strips_blm.html" class="">Classic Fraction Strips in <strong>Black and White</strong> Unlabeled</a>
<a href="fractions/fraction_strips_color.html" class="">Classic Fraction Strips in <strong>Color</strong> Unlabeled</a>
<a href="fractions/fraction_strips_gray.html" class="">Classic Fraction Strips in <strong>Gray</strong> Unlabeled</a>
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<li><input type="checkbox" class="list-checkbox" id="fraction-strips-5"><label for="fraction-strips-5" class="wtitle">Smart Fraction Strips with Labels</label>
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<a href="fractions/smart_fraction_strips_with_labels_bw.html" class=""><strong>Smart</strong> Fraction Strips in <strong>Black and White</strong> With Labels</a>
<a href="fractions/smart_fraction_strips_with_labels_color.html" class=""><strong>Smart</strong> Fraction Strips in <strong>Color</strong> With Labels</a>
<a href="fractions/smart_fraction_strips_with_labels_gray.html" class=""><strong>Smart</strong> Fraction Strips in <strong>Gray</strong> With Labels</a>
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<h2 id="modeling-fractions">Modeling fractions</h2>
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<li><p>Fractions can represent parts of a group or parts of a whole. In these worksheets, fractions are modeled as parts of a group. Besides using the worksheets in this section, you can also try some more interesting ways of modeling fractions. Healthy snacks can make great models for fractions. Can you cut a cucumber into thirds? A tomato into quarters? Can you make two-thirds of the grapes red and one-third green?</p></li>
<li><input type="checkbox" class="list-checkbox" id="modeling-fractions-6"><label for="modeling-fractions-6" class="wtitle">Modeling Fractions with Groups of Shapes</label>
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<a href="fractions/fractions_model_parts_group_color_001.html" class="">Coloring Groups of Shapes to Represent Fractions</a>
<a href="fractions/parts_of_a_group_rectangular_simplified_only_001.html" class="">Identifying Fractions from Colored Groups of Shapes (Only Simplified Fractions up to Eighths)</a>
<a href="fractions/parts_of_a_group_rectangular_upto_halves_001.html" class="">Identifying Fractions from Colored Groups of Shapes (Halves Only)</a>
<a href="fractions/parts_of_a_group_rectangular_upto_thirds_001.html" class="">Identifying Fractions from Colored Groups of Shapes (Halves and Thirds)</a>
<a href="fractions/parts_of_a_group_rectangular_upto_fourths_001.html" class="">Identifying Fractions from Colored Groups of Shapes (Halves, Thirds and Fourths)</a>
<a href="fractions/parts_of_a_group_rectangular_upto_fifths_001.html" class="">Identifying Fractions from Colored Groups of Shapes (Up to Fifths)</a>
<a href="fractions/parts_of_a_group_rectangular_upto_sixths_001.html" class="">Identifying Fractions from Colored Groups of Shapes (Up to Sixths)</a>
<a href="fractions/parts_of_a_group_rectangular_upto_eighths_001.html" class="">Identifying Fractions from Colored Groups of Shapes (Up to Eighths)</a>
<a href="fractions/parts_of_a_group_001.html" class="">Identifying Fractions from Colored Groups of Shapes (OLD Version; Print Too Light)</a>
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<li><input type="checkbox" class="list-checkbox" id="modeling-fractions-7"><label for="modeling-fractions-7" class="wtitle">Modeling Fractions with Rectangles</label>
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<a href="fractions/frac_model_halves_001.html" class="">Modeling Halves</a>
<a href="fractions/frac_model_thirds_001.html" class="">Modeling Thirds</a>
<a href="fractions/frac_model_halves_and_thirds_001.html" class="">Modeling Halves and Thirds</a>
<a href="fractions/modeling_fractions_fourths_color_001.html" class="">Modeling Fourths (Color Version)</a>
<a href="fractions/modeling_fractions_fourths_grey_001.html" class="">Modeling Fourths (Grey Version)</a>
<a href="fractions/modeling_coloring_fourths_001.html" class="">Coloring Fourths Models</a>
<a href="fractions/frac_model_fifths_001.html" class="">Modeling Fifths</a>
<a href="fractions/frac_model_fifths_color_001.html" class="">Coloring Fifths Models</a>
<a href="fractions/frac_model_sixths_001.html" class="">Modeling Sixths</a>
<a href="fractions/frac_model_sixths_color_001.html" class="">Coloring Sixths Models</a>
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<li><input type="checkbox" class="list-checkbox" id="modeling-fractions-8"><label for="modeling-fractions-8" class="wtitle">Modeling Fractions with Circles</label>
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<a href="fractions/fractions_modeling_234_001.html" class="">Modeling Halves, Thirds and Fourths</a>
<a href="fractions/fractions_modeling_color_234_001.html" class="">Coloring Halves, Thirds and Fourths</a>
<a href="fractions/fractions_modeling_2345_001.html" class="">Modeling Halves, Thirds, Fourths, and Fifths</a>
<a href="fractions/fractions_modeling_color_2345_001.html" class="">Coloring Halves, Thirds, Fourths, and Fifths</a>
<a href="fractions/fractions_modeling_23456_001.html" class="">Modeling Halves to Sixths</a>
<a href="fractions/fractions_modeling_color_23456_001.html" class="">Coloring Halves to Sixths</a>
<a href="fractions/fractions_modeling_2345678_001.html" class="">Modeling Halves to Eighths</a>
<a href="fractions/fractions_modeling_color_2345678_001.html" class="">Coloring Halves to Eighths</a>
<a href="fractions/fractions_modeling_23456789101112_001.html" class="">Modeling Halves to Twelfths</a>
<a href="fractions/fractions_modeling_color_23456789101112_001.html" class="">Coloring Halves to Twelfths</a>
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<h2 id="ratio-and-proportion">Ratio and Proportion Worksheets</h2>
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<li><p>The equivalent fractions models worksheets include only the "baking fractions" in the A versions. To see more difficult and varied fractions, please choose the B to J versions after loading the A version. More picture ratios can be found on holiday and seasonal pages. Try <a href="search56c7.html?s=picture+ratios&page=1&sort=weekly">searching for picture ratios</a> to find more.</p></li>
<li><input type="checkbox" class="list-checkbox" id="ratio-and-proportion-9"><label for="ratio-and-proportion-9" class="wtitle">Picture Ratios</label>
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<a href="fractions/ratio_autumn_pictures_simple_001.html" class="">Autumn Trees <strong>Part-to-Part</strong> Picture Ratios (<strong>Grouped</strong>)</a>
<a href="fractions/ratio_autumn_pictures_001.html" class="">Autumn Trees <strong>Part-to-Part and Part-to-Whole</strong> Picture Ratios (<strong>Grouped</strong>)</a>
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<li><input type="checkbox" class="list-checkbox" id="ratio-and-proportion-10"><label for="ratio-and-proportion-10" class="wtitle">Equivalent Fractions</label>
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<a href="fractions/equivalent_fractions_blanks_multiply_right_001.html" class="">Equivalent Fractions With Blanks (<strong>Multiply Right</strong>) <span class="iedit">✎</span></a>
<a href="fractions/equivalent_fractions_blanks_divide_left_001.html" class="">Equivalent Fractions With Blanks (<strong>Divide Left</strong>) <span class="iedit">✎</span></a>
<a href="fractions/frac_equiv_missing_number_001.html" class="">Equivalent Fractions With Blanks (<strong>Multiply Right or Divide Left</strong>) <span class="iedit">✎</span></a>
<a href="fractions/equivalent_fractions_blanks_divide_right_001.html" class="">Equivalent Fractions With Blanks (<strong>Divide Right</strong>) <span class="iedit">✎</span></a>
<a href="fractions/equivalent_fractions_blanks_multiply_left_001.html" class="">Equivalent Fractions With Blanks (<strong>Multiply Left</strong>) <span class="iedit">✎</span></a>
<a href="fractions/equivalent_fractions_blanks_multiply_left_divide_right_001.html" class="">Equivalent Fractions With Blanks (<strong>Multiply Left or Divide Right</strong>) <span class="iedit">✎</span></a>
<a href="fractions/equivalent_fractions_blanks_multdiv_right_001.html" class="">Equivalent Fractions With Blanks (<strong>Multiply or Divide Right</strong>) <span class="iedit">✎</span></a>
<a href="fractions/equivalent_fractions_blanks_multdiv_left_001.html" class="">Equivalent Fractions With Blanks (<strong>Multiply or Divide Left</strong>) <span class="iedit">✎</span></a>
<a href="fractions/equivalent_fractions_blanks_multdiv_both_001.html" class="">Equivalent Fractions With Blanks (<strong>Multiply or Divide in Either Direction</strong>) <span class="iedit">✎</span></a>
<a href="fractions/fractions_equivalent_test_0205_001.html" class="">Are These Fractions Equivalent? (Multiplier 2 to 5)</a>
<a href="fractions/fractions_equivalent_test_0515_001.html" class="">Are These Fractions Equivalent? (Multiplier 5 to 15)</a>
<a href="fractions/fractions_equivalent_visual_models_simplified_both_001.html" class="">Equivalent Fractions <strong>Models</strong></a>
<a href="fractions/fractions_equivalent_visual_models_simplified_first_001.html" class="">Equivalent Fractions <strong>Models</strong> with the <strong>Simplified Fraction First</strong></a>
<a href="fractions/fractions_equivalent_visual_models_simplified_second_001.html" class="">Equivalent Fractions <strong>Models</strong> with the <strong>Simplified Fraction Second</strong></a>
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<li><input type="checkbox" class="list-checkbox" id="ratio-and-proportion-11"><label for="ratio-and-proportion-11" class="wtitle">Equivalent Ratios</label>
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<a href="fractions/ratio_equivalent_missing_number_blank_right_001.html" class="">Equivalent Ratios with Blanks Only on Right</a>
<a href="fractions/ratio_equivalent_missing_number_blank_001.html" class="">Equivalent Ratios with Blanks Anywhere</a>
<a href="fractions/ratio_equivalent_missing_number_x_001.html" class="">Equivalent Ratios with <i>x</i>'s</a>
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<h2 id="comparing-and-ordering-fractions">Comparing and Ordering Fractions</h2>
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<img src="fractions/images/compare_fractions_to_9ths_001_300.004.jpg" alt="" width="250" height="324" loading="lazy">
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<li><p>Comparing fractions involves deciding which of two fractions is greater in value or if the two fractions are equal in value. There are generally four methods that can be used for comparing fractions. First is to use <strong>common denominators</strong>. If both fractions have the same denominator, comparing the fractions simply involves comparing the numerators. Equivalent fractions can be used to convert one or both fractions, so they have common denominators. A second method is to convert both fractions to a <strong>decimal</strong> and compare the decimal numbers. <strong>Visualization</strong> is the third method. Using something like <a href="fractions/fraction_strips_blm_labeled.html">fraction strips</a>, two fractions can be compared with a visual tool. The fourth method is to use a <strong>cross-multiplication</strong> strategy where the numerator of the first fraction is multiplied by the denominator of the second fraction; then the numerator of the second fraction is multiplied by the denominator of the first fraction. The resulting products can be compared to decide which fraction is greater (or if they are equal).</p></li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-12"><label for="comparing-and-ordering-fractions-12" class="wtitle">Comparing Proper Fractions</label>
<div class="desc">
<a href="fractions/compare_fractions_to_6ths_001.html" class="">Comparing <strong>Proper</strong> Fractions to Sixths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_9ths_no7_001.html" class="">Comparing <strong>Proper</strong> Fractions to Ninths (No Sevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_9ths_001.html" class="">Comparing <strong>Proper</strong> Fractions to Ninths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_12ths_no711_001.html" class="">Comparing <strong>Proper</strong> Fractions to Twelfths (No Sevenths; No Elevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_12ths_001.html" class="">Comparing <strong>Proper</strong> Fractions to Twelfths <span class="iedit">✎</span></a>
</div>
</li>
<li><p>The worksheets in this section also include improper fractions. This might make the task of comparing even easier for some questions that involve both a proper and an improper fraction. If students recognize one fraction is greater than one and the other fraction is less than one, the greater fraction will be obvious.</p></li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-13"><label for="comparing-and-ordering-fractions-13" class="wtitle">Comparing Proper and Improper Fractions</label>
<div class="desc">
<a href="fractions/compare_fractions_to_6ths_improper_001.html" class="">Comparing <strong>Proper and Improper</strong> Fractions to Sixths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_9ths_no7_improper_001.html" class="">Comparing <strong>Proper and Improper</strong> Fractions to Ninths (No Sevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_9ths_improper_001.html" class="">Comparing <strong>Proper and Improper</strong> Fractions to Ninths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_12ths_no711_improper_001.html" class="">Comparing <strong>Proper and Improper</strong> Fractions to Twelfths (No Sevenths; No Elevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_12ths_improper_001.html" class="">Comparing <strong>Proper and Improper</strong> Fractions to Twelfths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_only_to_6ths_001.html" class="">Comparing <strong>Improper</strong> Fractions to Sixths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_only_to_9ths_no7_001.html" class="">Comparing <strong>Improper</strong> Fractions to Ninths (No Sevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_only_to_9ths_001.html" class="">Comparing <strong>Improper</strong> Fractions to Ninths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_only_to_12ths_no711_001.html" class="">Comparing <strong>Improper</strong> Fractions to Twelfths (No Sevenths; No Elevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_only_to_12ths_001.html" class="">Comparing <strong>Improper</strong> Fractions to Twelfths <span class="iedit">✎</span></a>
</div>
</li>
<li><p>This section additionally includes mixed fractions. When comparing mixed and improper fractions, it is useful to convert one of the fractions to the other's form either in writing or mentally. Converting to a mixed fraction is probably the better route since the first step is to compare the whole number portions, and if one is greater than the other, the proper fraction portion can be ignored. If the whole number portions are equal, the proper fractions must be compared to see which number is greater.</p></li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-14"><label for="comparing-and-ordering-fractions-14" class="wtitle">Comparing Proper, Improper and Mixed Fractions</label>
<div class="desc">
<a href="fractions/compare_fractions_to_6ths_mixed_001.html" class="">Comparing <strong>Proper, Improper and Mixed</strong> Fractions to Sixths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_9ths_no7_mixed_001.html" class="">Comparing <strong>Proper, Improper and Mixed</strong> Fractions to Ninths (No Sevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_9ths_mixed_001.html" class="">Comparing <strong>Proper, Improper and Mixed</strong> Fractions to Ninths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_12ths_no711_mixed_001.html" class="">Comparing <strong>Proper, Improper and Mixed</strong> Fractions to Twelfths (No Sevenths; No Elevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_to_12ths_mixed_001.html" class="">Comparing <strong>Proper, Improper and Mixed</strong> Fractions to Twelfths <span class="iedit">✎</span></a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-15"><label for="comparing-and-ordering-fractions-15" class="wtitle">Comparing Improper and Mixed Fractions</label>
<div class="desc">
<a href="fractions/compare_fractions_improper_mixed_to_6ths_001.html" class="">Comparing <strong>Improper and Mixed</strong> Fractions to Sixths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_mixed_to_9ths_no7_001.html" class="">Comparing <strong>Improper and Mixed</strong> Fractions to Ninths (No Sevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_mixed_to_9ths_001.html" class="">Comparing <strong>Improper and Mixed</strong> Fractions to Ninths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_mixed_to_12ths_no711_001.html" class="">Comparing <strong>Improper and Mixed</strong> Fractions to Twelfths (No Sevenths; No Elevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_improper_mixed_to_12ths_001.html" class="">Comparing <strong>Improper and Mixed</strong> Fractions to Twelfths <span class="iedit">✎</span></a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-16"><label for="comparing-and-ordering-fractions-16" class="wtitle">Comparing Mixed Fractions</label>
<div class="desc">
<a href="fractions/compare_fractions_mixed_only_to_6ths_001.html" class="">Comparing <strong>Mixed</strong> Fractions to Sixths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_mixed_only_to_9ths_no7_001.html" class="">Comparing <strong>Mixed</strong> Fractions to Ninths (No Sevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_mixed_only_to_9ths_001.html" class="">Comparing <strong>Mixed</strong> Fractions to Ninths <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_mixed_only_to_12ths_no711_001.html" class="">Comparing <strong>Mixed</strong> Fractions to Twelfths (No Sevenths; No Elevenths) <span class="iedit">✎</span></a>
<a href="fractions/compare_fractions_mixed_only_to_12ths_001.html" class="">Comparing <strong>Mixed</strong> Fractions to Twelfths <span class="iedit">✎</span></a>
</div>
</li>
<li><p>Many of the same strategies that work for comparing fractions also work for ordering fractions. Using manipulatives such as fraction strips, using number lines, or finding decimal equivalents will all have your student(s) putting fractions in the correct order in no time. We've probably said this before, but make sure that you emphasize that when comparing or ordering fractions, students understand that the whole needs to be the same. Comparing half the population of Canada with a third of the population of the United States won't cut it. Try using some visuals to reinforce this important concept. Even though we've included number lines below, feel free to use your own strategies.</p></li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-17"><label for="comparing-and-ordering-fractions-17" class="wtitle">Ordering Fractions with Easy Denominators on a Number Line</label>
<div class="desc">
<a href="fractions/order_fractions_numberline_0010_easy_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 10</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0024_easy_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 24</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0060_easy_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 60</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0100_easy_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 100</strong> on a Number Line</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-18"><label for="comparing-and-ordering-fractions-18" class="wtitle">Ordering Fractions with Easy Denominators on a Number Line (Including Negative Fractions)</label>
<div class="desc">
<a href="fractions/order_fractions_numberline_0010_easy_negatives_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 10 + Negatives</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0024_easy_negatives_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 24 + Negatives</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0060_easy_negatives_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 60 + Negatives</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0100_easy_negatives_001.html" class="">Ordering Fractions with <strong>Easy Denominators to 100 + Negatives</strong> on a Number Line</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-19"><label for="comparing-and-ordering-fractions-19" class="wtitle">Ordering Fractions with All Denominators on a Number Line</label>
<div class="desc">
<a href="fractions/order_fractions_numberline_0010_001.html" class="">Ordering Fractions with <strong>All Denominators to 10</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0024_001.html" class="">Ordering Fractions with <strong>All Denominators to 24</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0060_001.html" class="">Ordering Fractions with <strong>All Denominators to 60</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0100_001.html" class="">Ordering Fractions with <strong>All Denominators to 100</strong> on a Number Line</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-20"><label for="comparing-and-ordering-fractions-20" class="wtitle">Ordering Fractions with All Denominators on a Number Line (Including Negative Fractions)</label>
<div class="desc">
<a href="fractions/order_fractions_numberline_0010_negatives_001.html" class="">Ordering Fractions with <strong>All Denominators to 10 + Negatives</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0024_negatives_001.html" class="">Ordering Fractions with <strong>All Denominators to 24 + Negatives</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0060_negatives_001.html" class="">Ordering Fractions with <strong>All Denominators to 60 + Negatives</strong> on a Number Line</a>
<a href="fractions/order_fractions_numberline_0100_negatives_001.html" class="">Ordering Fractions with <strong>All Denominators to 100 + Negatives</strong> on a Number Line</a>
</div>
</li>
<li><p>The ordering fractions worksheets in this section do not include a number line, to allow for students to use various sorting strategies.</p></li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-21"><label for="comparing-and-ordering-fractions-21" class="wtitle">Ordering Positive Fractions</label>
<div class="desc">
<a href="fractions/order_5fractions_like_denominators_improper_positive_001.html" class="">Ordering Positive Fractions with <strong>Like Denominators</strong></a>
<a href="fractions/order_5fractions_like_numerators_improper_positive_001.html" class="">Ordering Positive Fractions with <strong>Like Numerators</strong></a>
<a href="fractions/order_5fractions_like_either_improper_positive_001.html" class="">Ordering Positive Fractions with <strong>Like Numerators or Denominators</strong></a>
<a href="fractions/order_5fractions_unlike_proper_positive_001.html" class="">Ordering Positive Fractions <strong>with Proper Fractions Only</strong></a>
<a href="fractions/order_5fractions_unlike_improper_positive_001.html" class="">Ordering Positive Fractions <strong>with Improper Fractions</strong></a>
<a href="fractions/order_5fractions_unlike_mixed_positive_001.html" class="">Ordering Positive Fractions <strong>with Mixed Fractions</strong></a>
<a href="fractions/order_5fractions_unlike_both_positive_001.html" class="">Ordering Positive Fractions <strong>with Improper and Mixed Fractions</strong></a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="comparing-and-ordering-fractions-22"><label for="comparing-and-ordering-fractions-22" class="wtitle">Ordering Positive and Negative Fractions</label>
<div class="desc">
<a href="fractions/order_5fractions_like_denominators_improper_negative_001.html" class="">Ordering Positive and <strong>Negative</strong> Fractions with <strong>Like Denominators</strong></a>
<a href="fractions/order_5fractions_like_numerators_improper_negative_001.html" class="">Ordering Positive and <strong>Negative</strong> Fractions with <strong>Like Numerators</strong></a>
<a href="fractions/order_5fractions_like_either_improper_negative_001.html" class="">Ordering Positive and <strong>Negative</strong> Fractions with <strong>Like Numerators or Denominators</strong></a>
<a href="fractions/order_5fractions_unlike_proper_negative_001.html" class="">Ordering Positive and <strong>Negative</strong> Fractions <strong>with Proper Fractions Only</strong></a>
<a href="fractions/order_5fractions_unlike_improper_negative_001.html" class="">Ordering Positive and <strong>Negative</strong> Fractions <strong>with Improper Fractions</strong></a>
<a href="fractions/order_5fractions_unlike_mixed_negative_001.html" class="">Ordering Positive and <strong>Negative</strong> Fractions <strong>with Mixed Fractions</strong></a>
<a href="fractions/order_5fractions_unlike_both_negative_001.html" class="">Ordering Positive and <strong>Negative</strong> Fractions <strong>with Improper and Mixed Fractions</strong></a>
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</li>
</ul>
</div>
</div>
<div class="wscontainer bc01">
<div class="titlearea">
<h2 id="simplifying-and-converting-fractions">Simplifying & Converting Fractions Worksheets</h2>
</div>
<div class="imagearea">
<img src="fractions/images/fractions_rounding_proper_whole_helper_001_300.004.jpg" alt="" width="250" height="324" loading="lazy">
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<div class="worksheetsarea">
<ul class="list">
<li><p>Rounding fractions helps students to understand fractions a little better and can be applied to estimating answers to fractions questions. For example, if one had to estimate 1 4/7 × 6, they could probably say the answer was about 9 since 1 4/7 is about 1 1/2 and 1 1/2 × 6 is 9.</p></li>
<li><input type="checkbox" class="list-checkbox" id="simplifying-and-converting-fractions-23"><label for="simplifying-and-converting-fractions-23" class="wtitle">Rounding Fractions with Helper Lines</label>
<div class="desc">
<a href="fractions/fractions_rounding_proper_whole_helper_001.html" class="">Rounding <strong>Fractions</strong> to the <strong>Nearest Whole</strong> with <strong>Helper Lines</strong></a>
<a href="fractions/fractions_rounding_mixed_whole_helper_001.html" class="">Rounding <strong>Mixed Numbers</strong> to the <strong>Nearest Whole</strong> with <strong>Helper Lines</strong></a>
<a href="fractions/fractions_rounding_proper_half_helper_001.html" class="">Rounding <strong>Fractions</strong> to the <strong>Nearest Half</strong> with <strong>Helper Lines</strong></a>
<a href="fractions/fractions_rounding_mixed_half_helper_001.html" class="">Rounding <strong>Mixed Numbers</strong> to the <strong>Nearest Half</strong> with <strong>Helper Lines</strong></a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="simplifying-and-converting-fractions-24"><label for="simplifying-and-converting-fractions-24" class="wtitle">Rounding Fractions</label>
<div class="desc">
<a href="fractions/fractions_rounding_proper_whole_nohelper_001.html" class="">Rounding <strong>Fractions</strong> to the <strong>Nearest Whole</strong></a>
<a href="fractions/fractions_rounding_mixed_whole_nohelper_001.html" class="">Rounding <strong>Mixed Numbers</strong> to the <strong>Nearest Whole</strong></a>
<a href="fractions/fractions_rounding_proper_half_nohelper_001.html" class="">Rounding <strong>Fractions</strong> to the <strong>Nearest Half</strong></a>
<a href="fractions/fractions_rounding_mixed_half_nohelper_001.html" class="">Rounding <strong>Mixed Numbers</strong> to the <strong>Nearest Half</strong></a>
</div>
</li>
<li><p>Learning how to simplify fractions makes a student's life much easier later on when learning operations with fractions. It also helps them to learn that different-looking fractions can be equivalent. One way of demonstrating this is to divide out two equivalent fractions. For example 3/2 and 6/4 both result in a quotient of 1.5 when divided. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions.</p></li>
<li><input type="checkbox" class="list-checkbox" id="simplifying-and-converting-fractions-25"><label for="simplifying-and-converting-fractions-25" class="wtitle">Simplifying Fractions</label>
<div class="desc">
<a href="fractions/simplify_fractions_easy_001.html" class="">Simplify Fractions (easier)</a>
<a href="fractions/simplify_fractions_hard_001.html" class="">Simplify Fractions (harder)</a>
<a href="fractions/simplify_improper_fractions_easy_001.html" class="">Simplify Improper Fractions (easier)</a>
<a href="fractions/simplify_improper_fractions_hard_001.html" class="">Simplify Improper Fractions (harder)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="simplifying-and-converting-fractions-26"><label for="simplifying-and-converting-fractions-26" class="wtitle">Converting Between Improper and Mixed Fractions</label>
<div class="desc">
<a href="fractions/fractions_convert_mixed_to_improper_001.html" class="">Converting Mixed Fractions to Improper Fractions</a>
<a href="fractions/fractions_convert_improper_to_mixed_001.html" class="">Converting Improper Fractions to Mixed Fractions</a>
<a href="fractions/fractions_convert_between_mixed_improper_001.html" class="">Converting Between (both ways) Mixed and Improper Fractions</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="simplifying-and-converting-fractions-27"><label for="simplifying-and-converting-fractions-27" class="wtitle">Converting Between Fractions and Decimals</label>
<div class="desc">
<a href="fractions/common_fractions_convert_to_decimal_001.html" class="">Converting Fractions to Terminating Decimals</a>
<a href="fractions/fractions_convert_to_decimal_001.html" class="">Converting Fractions to Terminating and Repeating Decimals</a>
<a href="fractions/decimals_convert_terminating_only_decimals_to_fractions_001.html" class="">Converting Terminating Decimals to Fractions</a>
<a href="fractions/decimals_convert_to_fractions_001.html" class="">Converting Terminating and Repeating Decimals to Fractions</a>
<a href="fractions/convert_fractions_to_hundredths_001.html" class="">Converting Fractions to Hundredths</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="simplifying-and-converting-fractions-28"><label for="simplifying-and-converting-fractions-28" class="wtitle">Converting Between Fractions, Decimals, Percents and Ratios with Terminating Decimals Only</label>
<div class="desc">
<a href="fractions/convert_fractions_terminating_from_fractions_to_decimals_percents_ppratios_001.html" class=""><strong>Converting Fractions</strong> to Decimals, Percents and Part-to-<strong>Part</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_fractions_to_decimals_percents_pwratios_001.html" class=""><strong>Converting Fractions</strong> to Decimals, Percents and Part-to-<strong>Whole</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_decimals_to_fractions_percents_ppratios_001.html" class=""><strong>Converting Decimals</strong> to Fractions, Percents and Part-to-<strong>Part</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_decimals_to_fractions_percents_pwratios_001.html" class=""><strong>Converting Decimals</strong> to Fractions, Percents and Part-to-<strong>Whole</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_percents_to_fractions_decimals_ppratios_001.html" class=""><strong>Converting Percents</strong> to Fractions, Decimals and Part-to-<strong>Part</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_percents_to_fractions_decimals_pwratios_001.html" class=""><strong>Converting Percents</strong> to Fractions, Decimals and Part-to-<strong>Whole</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_ppratios_to_fractions_decimals_percents_001.html" class=""><strong>Converting Part-to-Part Ratios</strong> to Fractions, Decimals and Percents (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_pwratios_to_fractions_decimals_percents_001.html" class=""><strong>Converting Part-to-Whole Ratios</strong> to Fractions, Decimals and Percents (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_various_to_various_ppratios_001.html" class=""><strong>Converting Various</strong> Fractions, Decimals, Percents and Part-to-<strong>Part</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
<a href="fractions/convert_fractions_terminating_from_various_to_various_pwratios_001.html" class=""><strong>Converting Various</strong> Fractions, Decimals, Percents and Part-to-<strong>Whole</strong> Ratios (<strong>Terminating</strong> Decimals Only)</a>
</div>
</li>
<li><input type="checkbox" class="list-checkbox" id="simplifying-and-converting-fractions-29"><label for="simplifying-and-converting-fractions-29" class="wtitle">Converting Between Fractions, Decimals, Percents and Ratios with Terminating and Repeating Decimals</label>
<div class="desc">
<a href="fractions/convert_fractions_no711_from_fractions_to_decimals_percents_ppratios_001.html" class=""><strong>Converting Fractions</strong> to Decimals, Percents and Part-to-<strong>Part</strong> Ratios</a>
<a href="fractions/convert_fractions_no711_from_fractions_to_decimals_percents_pwratios_001.html" class=""><strong>Converting Fractions</strong> to Decimals, Percents and Part-to-<strong>Whole</strong> Ratios</a>
<a href="fractions/convert_fractions_no711_from_decimals_to_fractions_percents_ppratios_001.html" class=""><strong>Converting Decimals</strong> to Fractions, Percents and Part-to-<strong>Part</strong> Ratios</a>
<a href="fractions/convert_fractions_no711_from_decimals_to_fractions_percents_pwratios_001.html" class=""><strong>Converting Decimals</strong> to Fractions, Percents and Part-to-<strong>Whole</strong> Ratios</a>
<a href="fractions/convert_fractions_no711_from_percents_to_fractions_decimals_ppratios_001.html" class=""><strong>Converting Percents</strong> to Fractions, Decimals and Part-to-<strong>Part</strong> Ratios</a>
<a href="fractions/convert_fractions_no711_from_percents_to_fractions_decimals_pwratios_001.html" class=""><strong>Converting Percents</strong> to Fractions, Decimals and Part-to-<strong>Whole</strong> Ratios</a>
<a href="fractions/convert_fractions_no711_from_ppratios_to_fractions_decimals_percents_001.html" class=""><strong>Converting Part-to-Part Ratios</strong> to Fractions, Decimals and Percents</a>
<a href="fractions/convert_fractions_no711_from_pwratios_to_fractions_decimals_percents_001.html" class=""><strong>Converting Part-to-Whole Ratios</strong> to Fractions, Decimals and Percents</a>
<a href="fractions/convert_fractions_no711_from_various_to_various_ppratios_001.html" class=""><strong>Converting Various</strong> Fractions, Decimals, Percents and Part-to-<strong>Part</strong> Ratios</a>
<a href="fractions/convert_fractions_no711_from_various_to_various_pwratios_001.html" class=""><strong>Converting Various</strong> Fractions, Decimals, Percents and Part-to-<strong>Whole</strong> Ratios</a>
<a href="fractions/convert_fractions_711_from_various_to_various_ppratios_001.html" class=""><strong>Converting Various</strong> Fractions, Decimals, Percents and Part-to-<strong>Part</strong> Ratios with <strong>7ths and 11ths</strong></a>
<a href="fractions/convert_fractions_711_from_various_to_various_pwratios_001.html" class=""><strong>Converting Various</strong> Fractions, Decimals, Percents and Part-to-<strong>Whole</strong> Ratios with <strong>7ths and 11ths</strong></a>
</div>
</li>
</ul>
</div>
</div>
<div class="wscontainer bc01">
<div class="titlearea">
<h2 id="multiplying-fractions">Multiplying Fractions</h2>
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<li><p>Multiplying fractions is usually less confusing operationally than any other operation and can be less confusing conceptually if approached in the right way. The algorithm for multiplying is simply multiply the numerators then multiply the denominators. The magic word in understanding the multiplication of fractions is, "of." For example what is two-thirds OF six? What is a third OF a half? When you use the word, "of," it gets much easier to visualize fractions multiplication. Example: cut a loaf of bread in half, then cut the half into thirds. One third OF a half loaf of bread is the same as 1/3 x 1/2 and tastes delicious with butter.</p></li>
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<strong>Multiplying Proper and Improper Fractions</strong>
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<strong>Multiplying Two Improper Fractions</strong>
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<strong>Multiplying Proper and Mixed Fractions</strong>
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<a href="fractions/fractions_operations_02_fillable_03_multiplication_03_mixed_01_proper_01_no_simplifying_001.html" class="">Multiplying <strong>Proper and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
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<strong>Multiplying Two Mixed Fractions</strong>
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<a href="fractions/fractions_operations_01_non_fillable_03_multiplication_03_mixed_03_mixed_01_no_simplifying_001.html" class="">Multiplying <strong>Two Mixed</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
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<a href="fractions/fractions_operations_01_non_fillable_03_multiplication_03_mixed_03_mixed_03_some_simplifying_001.html" class="">Multiplying <strong>Two Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<strong>Multiplying Whole Numbers and Proper Fractions</strong>
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<a href="fractions/fractions_operations_02_fillable_03_multiplication_04_whole_01_proper_01_no_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Proper</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_multiplication_wholenumbers_simplify_001.html" class="">Multiplying <strong>Whole Numbers and Proper</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_03_multiplication_04_whole_01_proper_03_some_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Proper</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_03_multiplication_04_whole_01_proper_01_no_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Proper</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_03_multiplication_04_whole_01_proper_02_all_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Proper</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_03_multiplication_04_whole_01_proper_03_some_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Proper</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<a href="fractions/fractions_operations_02_fillable_03_multiplication_04_whole_02_improper_01_no_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Improper</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
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<a href="fractions/fractions_operations_02_fillable_03_multiplication_04_whole_02_improper_03_some_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Improper</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
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<strong>Multiplying Whole Numbers and Mixed Fractions</strong>
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<a href="fractions/fractions_operations_02_fillable_03_multiplication_04_whole_03_mixed_01_no_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
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<a href="fractions/fractions_operations_01_non_fillable_03_multiplication_04_whole_03_mixed_01_no_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
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<a href="fractions/fractions_operations_01_non_fillable_03_multiplication_04_whole_03_mixed_03_some_simplifying_001.html" class="">Multiplying <strong>Whole Numbers and Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<strong>Multiplying Proper, Improper and Mixed Fractions</strong>
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<strong>Multiplying 3 Fractions</strong>
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<h2 id="dividing-fractions">Dividing Fractions</h2>
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<li><p>Conceptually, dividing fractions is probably the most difficult of all the operations, but we're going to help you out. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer which is extremely important especially if you're building a bridge. We told you how to conceptualize fraction multiplication, but how does it work with division? Easy! You just need to learn the magic phrase: "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions, but it isn't a giant leap to figure it out. 1/2 ÷ 1/4 is a fairly easy example, especially if you think in terms of U.S. or Canadian coins. How many quarters are there in a half dollar?</p></li>
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<a href="fractions/fractions_operations_02_fillable_04_division_01_proper_01_proper_03_some_simplifying_001.html" class="">Dividing <strong>Two Proper</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_01_proper_01_proper_01_no_simplifying_001.html" class="">Dividing <strong>Two Proper</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
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<a href="fractions/fractions_operations_01_non_fillable_04_division_01_proper_01_proper_03_some_simplifying_001.html" class="">Dividing <strong>Two Proper</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<a href="fractions/fractions_operations_02_fillable_04_division_02_improper_02_improper_01_no_simplifying_001.html" class="">Dividing <strong>Two Improper</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
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<a href="fractions/fractions_operations_02_fillable_04_division_02_improper_02_improper_03_some_simplifying_001.html" class="">Dividing <strong>Two Improper</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_02_improper_02_improper_01_no_simplifying_001.html" class="">Dividing <strong>Two Improper</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_02_improper_02_improper_02_all_simplifying_001.html" class="">Dividing <strong>Two Improper</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_02_improper_02_improper_03_some_simplifying_001.html" class="">Dividing <strong>Two Improper</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<li><input type="checkbox" class="list-checkbox" id="dividing-fractions-34"><label for="dividing-fractions-34" class="wtitle">Dividing Proper and Mixed Fractions</label>
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<a href="fractions/fractions_operations_02_fillable_04_division_03_mixed_01_proper_01_no_simplifying_001.html" class="">Dividing <strong>Proper and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_divide_some_mixedfractions_simplify_001.html" class="">Dividing <strong>Proper and Mixed</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_03_mixed_01_proper_03_some_simplifying_001.html" class="">Dividing <strong>Proper and Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_03_mixed_01_proper_01_no_simplifying_001.html" class="">Dividing <strong>Proper and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_03_mixed_01_proper_02_all_simplifying_001.html" class="">Dividing <strong>Proper and Mixed</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_03_mixed_01_proper_03_some_simplifying_001.html" class="">Dividing <strong>Proper and Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<li><input type="checkbox" class="list-checkbox" id="dividing-fractions-35"><label for="dividing-fractions-35" class="wtitle">Dividing Two Mixed Fractions</label>
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<a href="fractions/fractions_operations_02_fillable_04_division_03_mixed_03_mixed_01_no_simplifying_001.html" class="">Dividing <strong>Two Mixed</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_divide_mixedfractions_simplify_001.html" class="">Dividing <strong>Two Mixed</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_03_mixed_03_mixed_03_some_simplifying_001.html" class="">Dividing <strong>Two Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_03_mixed_03_mixed_01_no_simplifying_001.html" class="">Dividing <strong>Two Mixed</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_03_mixed_03_mixed_02_all_simplifying_001.html" class="">Dividing <strong>Two Mixed</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_03_mixed_03_mixed_03_some_simplifying_001.html" class="">Dividing <strong>Two Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<li><input type="checkbox" class="list-checkbox" id="dividing-fractions-36"><label for="dividing-fractions-36" class="wtitle">Dividing Whole Numbers and Proper Fractions</label>
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<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_01_proper_01_no_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Proper</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_divide_wholenumbers_simplify_001.html" class="">Dividing <strong>Whole Numbers and Proper</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_01_proper_03_some_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Proper</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_01_proper_01_no_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Proper</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_01_proper_02_all_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Proper</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_01_proper_03_some_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Proper</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<li><input type="checkbox" class="list-checkbox" id="dividing-fractions-37"><label for="dividing-fractions-37" class="wtitle">Dividing Whole Numbers and Improper Fractions</label>
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<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_02_improper_01_no_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Improper</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_02_improper_02_all_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Improper</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_02_improper_03_some_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Improper</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_02_improper_01_no_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Improper</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_02_improper_02_all_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Improper</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_02_improper_03_some_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Improper</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<li><input type="checkbox" class="list-checkbox" id="dividing-fractions-38"><label for="dividing-fractions-38" class="wtitle">Dividing Whole Numbers and Mixed Fractions</label>
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<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_03_mixed_01_no_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_03_mixed_02_all_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Mixed</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_04_whole_03_mixed_03_some_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_03_mixed_01_no_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_03_mixed_02_all_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Mixed</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_04_whole_03_mixed_03_some_simplifying_001.html" class="">Dividing <strong>Whole Numbers and Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<li><input type="checkbox" class="list-checkbox" id="dividing-fractions-39"><label for="dividing-fractions-39" class="wtitle">Dividing Proper, Improper and Mixed Fractions</label>
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<a href="fractions/fractions_operations_02_fillable_04_division_05_various_05_various_01_no_simplifying_001.html" class="">Dividing <strong>Proper, Improper and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_05_various_05_various_02_all_simplifying_001.html" class="">Dividing <strong>Proper, Improper and Mixed</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_04_division_05_various_05_various_03_some_simplifying_001.html" class="">Dividing <strong>Proper, Improper and Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_05_various_05_various_01_no_simplifying_001.html" class="">Dividing <strong>Proper, Improper and Mixed</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_05_various_05_various_02_all_simplifying_001.html" class="">Dividing <strong>Proper, Improper and Mixed</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_04_division_05_various_05_various_03_some_simplifying_001.html" class="">Dividing <strong>Proper, Improper and Mixed</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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<li><input type="checkbox" class="list-checkbox" id="dividing-fractions-40"><label for="dividing-fractions-40" class="wtitle">Dividing 3 Fractions</label>
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<a href="fractions/fractions_divide_improper_simplify_3_001.html" class="">Dividing <strong>3</strong> Fractions</a>
<a href="fractions/fractions_divide_wholenumbers_simplify_3_001.html" class="">Dividing <strong>3</strong> Fractions (Some Whole Numbers)</a>
<a href="fractions/fractions_divide_some_mixedfractions_simplify_3_001.html" class="">Dividing <strong>3</strong> Fractions (Some Mixed)</a>
<a href="fractions/fractions_divide_mixedfractions_simplify_3_001.html" class="">Dividing <strong>3</strong> Mixed Fractions</a>
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<h2 id="multiplying-and-dividing-fractions">Multiplying and Dividing Fractions</h2>
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<img src="fractions/images/fractions_operations_02_fillable_06_multiplication_division_01_proper_01_proper_02_all_simplifying_001_300.004.jpg" alt="" width="250" height="324" loading="lazy">
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<li><p>This section includes worksheets with both multiplication and division mixed on each worksheet. Students will have to pay attention to the signs.</p></li>
<li><input type="checkbox" class="list-checkbox" id="multiplying-and-dividing-fractions-41"><label for="multiplying-and-dividing-fractions-41" class="wtitle">Multiplying and Dividing Two Proper Fractions</label>
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<a href="fractions/fractions_operations_02_fillable_06_multiplication_division_01_proper_01_proper_01_no_simplifying_001.html" class="">Multiplying and Dividing <strong>Two Proper</strong> Fractions <strong>with No Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_06_multiplication_division_01_proper_01_proper_02_all_simplifying_001.html" class="">Multiplying and Dividing <strong>Two Proper</strong> Fractions <strong>with All Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_02_fillable_06_multiplication_division_01_proper_01_proper_03_some_simplifying_001.html" class="">Multiplying and Dividing <strong>Two Proper</strong> Fractions <strong>with Some Simplifying</strong> (Fillable, Savable, Printable) <span class="iedit">✎</span></a>
<a href="fractions/fractions_operations_01_non_fillable_06_multiplication_division_01_proper_01_proper_01_no_simplifying_001.html" class="">Multiplying and Dividing <strong>Two Proper</strong> Fractions <strong>with No Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_06_multiplication_division_01_proper_01_proper_02_all_simplifying_001.html" class="">Multiplying and Dividing <strong>Two Proper</strong> Fractions <strong>with All Simplifying</strong> (Printable Only)</a>
<a href="fractions/fractions_operations_01_non_fillable_06_multiplication_division_01_proper_01_proper_03_some_simplifying_001.html" class="">Multiplying and Dividing <strong>Two Proper</strong> Fractions <strong>with Some Simplifying</strong> (Printable Only)</a>
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