Question

Using appropriate properties find:
$-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$

Answer 1

Solution:

$=-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$
$=-\frac{2}{3}\times \frac{3}{5}-\frac{3}{5}\times \frac{1}{6}+\frac{5}{2}\text{[Using Commutative property]}=\frac{3}{5}(\frac{-2}{3}-\frac{1}{6})+\frac{5}{2}\text{[Using distributive property]}=\frac{3}{5}\left(\frac{-4-1}{6}\right)+\frac{5}{2}=\frac{3}{5}\times \frac{-5}{6}+\frac{5}{2}=-\frac{1}{2}+\frac{5}{2}=\frac{-1+5}{2}=\frac{4}{2}=2$