#### Answer

$\frac{9}{20}$

#### Work Step by Step

$(-\frac{1}{2})^{2}+\frac{1}{5}$
$=(-\frac{1}{2})(-\frac{1}{2})+\frac{1}{5}$
$=--(\frac{1}{2}\times\frac{1}{2})+\frac{1}{5}$
$=\frac{1}{2}\times\frac{1}{2}+\frac{1}{5}$
$=\frac{1}{4}+\frac{1}{5}$
$=\frac{5}{20}+\frac{4}{20}$
$=\frac{9}{20}$