Question

Find using distributivity:

$[\frac{7}{5}\times \left(\frac{-3}{12}\right)]+[\frac{7}{5}\times \frac{5}{12}]$

Answer 1

$[\frac{7}{5}\times \left(\frac{-3}{12}\right)]+[\frac{7}{5}\times \frac{5}{12}]=\frac{7}{5}\times \{\left(\frac{-3}{12}\right)+\frac{5}{12}\}$

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

$=\frac{7}{5}\times \left\{\frac{2}{12}\right\}$

$=\frac{7}{5}\times \frac{2}{12}$

$=\frac{7}{5}\times \frac{1}{6}$

$=\frac{7}{30}$