#### Answer

$\frac{x-4}{2x}$

#### Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor.
Use the distributive property to find the GCF.
$\frac{2x-8}{4x}=\frac{2(x-4)}{4x}=\frac{2(x-4)\div2}{4x\div2}=\frac{x-4}{2x}$