Answer
$\frac{z}{2}$
Work Step by Step
$\frac{z}{4}+\frac{z}{8}+\frac{2z}{16}$
LCD is 16
$\frac{z}{4}\times\frac{4}{4}+\frac{z}{8}\times\frac{2}{2}+\frac{2z}{16}$
$\frac{4z}{16}+\frac{2z}{16}+\frac{2z}{16}$
$\frac{8z}{16}$
Simplify
$\frac{z}{2}$