Question

Evaluate each of the following:
$\left(ii\right).-\frac{4}{7}-\frac{2}{-3}$

Answer 1

To find: $-\frac{4}{7}-\frac{2}{-3}$

$-\frac{4}{7}-\frac{2}{-3}=\frac{-4}{7}-\frac{-2}{3}$ $(\because \frac{2}{-3}=\frac{-2}{3})$

$=\frac{-4}{7}+\frac{2}{3}$

$=\frac{-4\times 3}{7\times 3}+\frac{2\times 7}{3\times 7}$

$=\frac{-12}{21}+\frac{14}{21}$

$=\frac{-12+14}{21}$

$=\frac{2}{21}$

Thus, $-\frac{4}{7}-\frac{2}{-3}=\frac{2}{21}$