#### Answer

$\frac{4}{5}$

#### Work Step by Step

$\frac{2}{5}\times(5-\frac{1}{2})-1$
$=\frac{2}{5}\times(\frac{10}{2}-\frac{1}{2})-1$
$=\frac{2}{5}\times\frac{9}{2}-1$
$=\frac{1}{5}\times\frac{9}{1}-1$
$=\frac{9}{5}-1$
$=\frac{9}{5}-\frac{5}{5}$
$=\frac{4}{5}$