diff --git a/Lib/fractions.py b/Lib/fractions.py
index f9ac882ec002fa..ea7e5b8f18e296 100644
--- a/Lib/fractions.py
+++ b/Lib/fractions.py
@@ -238,6 +238,7 @@ def limit_denominator(self, max_denominator=1000000):
 
         p0, q0, p1, q1 = 0, 1, 1, 0
         n, d = self._numerator, self._denominator
+        n_original, d_original = n, d
         while True:
             a = n//d
             q2 = q0+a*q1
@@ -247,12 +248,23 @@ def limit_denominator(self, max_denominator=1000000):
             n, d = d, n-a*d
 
         k = (max_denominator-q0)//q1
-        bound1 = Fraction(p0+k*p1, q0+k*q1)
-        bound2 = Fraction(p1, q1)
-        if abs(bound2 - self) <= abs(bound1-self):
-            return bound2
+        bound1_n = p0 + k*p1
+        bound1_d = q0 + k*q1
+        bound2_n = p1
+        bound2_d = q1
+
+        # diff1_n = numerator of (bound1 minus self) as a Fraction;
+        # etc. for diff1_d, diff2_n, diff2_d
+        diff1_n = abs(bound1_n*d_original - n_original*bound1_d)
+        diff1_d = d_original * bound1_d
+        diff2_n = abs(bound2_n*d_original - n_original*bound2_d)
+        diff2_d = d_original * bound2_d
+
+        if diff1_n * diff2_d >= diff2_n * diff1_d:
+            # bound2 is closer (or equal) to original as bound 1
+            return Fraction(bound2_n, bound2_d, _normalize=False)
         else:
-            return bound1
+            return Fraction(bound1_n, bound1_d, _normalize=False)
 
     @property
     def numerator(a):
diff --git a/Misc/NEWS.d/next/Library/2022-06-03-11-17-49.gh-issue-93476.vvjcGL.rst b/Misc/NEWS.d/next/Library/2022-06-03-11-17-49.gh-issue-93476.vvjcGL.rst
new file mode 100644
index 00000000000000..09298d31f47cdd
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2022-06-03-11-17-49.gh-issue-93476.vvjcGL.rst
@@ -0,0 +1,2 @@
+:meth:`fractions.Fraction.limit_denominator()` performance enhancements.
+Patch by Michael Scott Asato Cuthbert.