Question

Q. Solve by using any property associative, commutative, distributive. State the property?

$\frac{-2}{5}\times \frac{3}{4}+\frac{5}{7}\times \frac{-3}{4}\times \frac{1}{5}$

Answer 1

$$\begin{gathered} Hi, \\ Assumingthequestionas \\ \frac{-2}{5}\times \frac{3}{4}+\frac{5}{7}\times \frac{-3}{4}\times \frac{1}{5} \\ =\frac{2}{5}\times \frac{-3}{4}+\frac{5}{7}\times \frac{-3}{4}\times \frac{1}{5} \\ u\sin gdistributiveproperty \\ a\left(b+c\right)=ab+ac \\ here-\frac{3}{4}isbeingdistributedsotakecommon \\ =\frac{-3}{4}\left[\frac{2}{5}+\frac{5}{7}\times \frac{1}{5}\right] \\ =\frac{-3}{4}\left[\frac{2}{5}+\frac{1}{7}\right]=\frac{-3}{4}\left[\frac{14+5}{35}\right]=\frac{-3}{4}\times \frac{19}{35}=\frac{-57}{140} \\ = \end{gathered}$$