diff --git a/src/generic.jl b/src/generic.jl
index c92776e3..7d6219fc 100644
--- a/src/generic.jl
+++ b/src/generic.jl
@@ -2109,7 +2109,7 @@ NaN
 function normalize(a::AbstractArray, p::Real = 2)
     nrm = norm(a, p)
     if !isempty(a)
-        aa = copymutable_oftype(a, typeof(first(a)/nrm))
+        aa = copymutable_oftype(a, float(Base.promote_eltype(a, nrm)))
         return __normalize!(aa, nrm)
     else
         T = typeof(zero(eltype(a))/nrm)