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

Distributive Property of Addition

$a (b + c)  =  ab + ac  $

So , we can take $\frac{7}{5}$ as common

$\frac{7}{5}\times(\frac{13}{12})+\frac{7}{5}\times\frac{5}{12}$

$\frac{7}{5}\times(\frac{-13}{12}+\frac{5}{12})$

$\frac{-13+5}{12}$

$\frac{7}{5}\times(\frac{-8}{12})$

$\frac{7}{5}\times(\frac{-2}{3})$ $(4\times2 =8 and 4\times3=12)$

$\frac{7}{5}\times\frac{-2}{3}$

$\frac{14}{15}$

Therefore ,  the solution is $\frac{14}{15}$

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Updated on: 10-Oct-2022

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