diff --git a/ext/AbstractFFTsChainRulesCoreExt.jl b/ext/AbstractFFTsChainRulesCoreExt.jl
index f0c788e6..a0c7b738 100644
--- a/ext/AbstractFFTsChainRulesCoreExt.jl
+++ b/ext/AbstractFFTsChainRulesCoreExt.jl
@@ -37,7 +37,7 @@ function ChainRulesCore.rrule(::typeof(rfft), x::AbstractArray{<:Real}, dims)
 
     project_x = ChainRulesCore.ProjectTo(x)
     function rfft_pullback(ȳ)
-        x̄ = project_x(brfft(ChainRulesCore.unthunk(ȳ) ./ scale, d, dims))
+        x̄ = project_x(brfft(ChainRulesCore.unthunk(ȳ) ./ typeof(x)(scale), d, dims))
         return ChainRulesCore.NoTangent(), x̄, ChainRulesCore.NoTangent()
     end
     return y, rfft_pullback
@@ -79,7 +79,7 @@ function ChainRulesCore.rrule(::typeof(irfft), x::AbstractArray, d::Int, dims)
 
     project_x = ChainRulesCore.ProjectTo(x)
     function irfft_pullback(ȳ)
-        x̄ = project_x(scale .* rfft(real.(ChainRulesCore.unthunk(ȳ)), dims))
+        x̄ = project_x(typeof(x)(scale) .* rfft(real.(ChainRulesCore.unthunk(ȳ)), dims))
         return ChainRulesCore.NoTangent(), x̄, ChainRulesCore.NoTangent(), ChainRulesCore.NoTangent()
     end
     return y, irfft_pullback