Question

Using distributivity, find
$\{\frac{7}{5}\times \left(\frac{-3}{12}\right)\}+\{\frac{7}{5}\times \frac{5}{12}\}$

Answer 1

Consider the given expressions.

$\{\frac{7}{5}\times \frac{-3}{12}\}+\{\frac{7}{5}\times \frac{5}{12}\}$

$=\left\{\frac{-7}{20}\right\}+\left\{\frac{7}{12}\right\}$

$=\frac{7}{12}-\frac{7}{20}$

$=\frac{35-21}{60}$

$=\frac{14}{60}$

$=\frac{7}{30}$

Hence, the value of this expression is $\frac{7}{30}$.