diff --git a/NEWS.md b/NEWS.md
index 01fe405f7cd52..ee8af0028af76 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -158,6 +158,8 @@ Library improvements
 
     * `expm1` and `log1p` now support complex arguments ([#3141]).
 
+    * Broadcasting `.//` is now included ([#7094]).
+
   * `String` improvements
 
     * Triple-quoted regex strings, `r"""..."""` ([#4934]).
diff --git a/base/broadcast.jl b/base/broadcast.jl
index e51f679586c78..2ae6f511e23e1 100644
--- a/base/broadcast.jl
+++ b/base/broadcast.jl
@@ -4,7 +4,7 @@ using ..Cartesian
 import Base.promote_eltype
 import Base.@get!
 import Base.num_bit_chunks, Base.@_msk_end, Base.unsafe_bitgetindex
-import Base.(.+), Base.(.-), Base.(.*), Base.(./), Base.(.\)
+import Base.(.+), Base.(.-), Base.(.*), Base.(./), Base.(.\), Base.(.//)
 import Base.(.==), Base.(.<), Base.(.!=), Base.(.<=)
 export broadcast, broadcast!, broadcast_function, broadcast!_function, bitbroadcast
 export broadcast_getindex, broadcast_setindex!
@@ -304,6 +304,16 @@ function .\(A::AbstractArray, B::AbstractArray)
     broadcast!(\, Array(type_div(eltype(A), eltype(B)), broadcast_shape(A, B)), A, B)
 end
 
+typealias RatIntT{T<:Integer} Union(Type{Rational{T}},Type{T})
+typealias CRatIntT{T<:Integer} Union(Type{Complex{Rational{T}}},Type{Complex{T}},Type{Rational{T}},Type{T})
+type_rdiv{T<:Integer,S<:Integer}(::RatIntT{T}, ::RatIntT{S}) =
+    Rational{promote_type(T,S)}
+type_rdiv{T<:Integer,S<:Integer}(::CRatIntT{T}, ::CRatIntT{S}) =
+    Complex{Rational{promote_type(T,S)}}
+function .//(A::AbstractArray, B::AbstractArray)
+    broadcast!(//, Array(type_rdiv(eltype(A), eltype(B)), broadcast_shape(A, B)), A, B)
+end
+
 type_pow(T,S) = promote_type(T,S)
 type_pow{S<:Integer}(::Type{Bool},::Type{S}) = Bool
 type_pow{S}(T,::Type{Rational{S}}) = type_pow(T, type_div(S, S))
diff --git a/base/exports.jl b/base/exports.jl
index 319b5958c2836..975bffff7e3dc 100644
--- a/base/exports.jl
+++ b/base/exports.jl
@@ -217,6 +217,7 @@ export
     .^,
     /,
     //,
+    .//,
     <,
     <:,
     <<,
diff --git a/base/rational.jl b/base/rational.jl
index 8dc8d07367026..5f57a34eee876 100644
--- a/base/rational.jl
+++ b/base/rational.jl
@@ -27,6 +27,10 @@ function //(x::Complex, y::Complex)
     complex(real(xy)//yy, imag(xy)//yy)
 end
 
+//(X::AbstractArray, y::Number) = X .// y
+.//(X::AbstractArray, y::Number) = reshape([ x // y for x in X ], size(X))
+.//(y::Number, X::AbstractArray) = reshape([ y // x for x in X ], size(X))
+
 function show(io::IO, x::Rational)
     if isinf(x)
         print(io, x.num > 0 ? "Inf" : "-Inf")
diff --git a/test/numbers.jl b/test/numbers.jl
index 4fa9bc9c91e75..1c89df0b9ef1f 100644
--- a/test/numbers.jl
+++ b/test/numbers.jl
@@ -1776,3 +1776,9 @@ end
 @test widen(BigInt) === BigInt
 
 @test widemul(typemax(Int64),typemax(Int64)) == 85070591730234615847396907784232501249
+
+# .//
+@test [1,2,3] // 4 == [1//4, 2//4, 3//4]
+@test [1,2,3] .// [4,5,6] == [1//4, 2//5, 3//6]
+@test [1+2im,3+4im] .// [5,6] == [(1+2im)//5,(3+4im)//6]
+@test [1//3+2im,3+4im] .// [5,6] == [(1//3+2im)//5,(3+4im)//6]