#### Answer

$-\frac{11}{60}$

#### Work Step by Step

LCD is 60.
$-\frac{1}{3}-\frac{1}{4}+\frac{2}{5}=-\frac{1\times20}{3\times20}-\frac{1\times15}{4\times15}+\frac{2\times12}{5\times12}=-\frac{20}{60}-\frac{15}{60}+\frac{24}{60}=\frac{-20-15+24}{60}=\frac{-11}{60}$