Find using distributivity. (i) 7 5 (-3 12 ) + 7 5 5 12 - Vidyadip

Question

Find using distributivity.
(i) $\left\{\frac{7}{5} \times\left(\frac{-3}{12}\right)\right\}+\left\{\frac{7}{5} \times \frac{5}{12}\right\}$

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Answer

(i) We have,
$\begin{array}{r}\left\{\frac{7}{5} \times\left(\frac{-3}{12}\right)\right\}+\left\{\frac{7}{5} \times \frac{5}{12}\right\} =\frac{7}{5} \times\left[\frac{-3}{12}+\frac{5}{12}\right]\end{array}\quad$
[by distributivity, taking $\frac{7}{5}$ as common factor]
$=\frac{7}{5} \times\left[\frac{-3+5}{12}\right]=\frac{7}{5} \times \frac{2}{12}=\frac{7}{30}$

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