Question

Solve using property: $-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$

Answer 1

Given: $-\frac{2}{3}\times \frac{3}{5}+\frac{5}{2}-\frac{3}{5}\times \frac{1}{6}$

$=-\frac{2}{3}\times \frac{3}{5}-\frac{3}{5}\times \frac{1}{6}+\frac{5}{2}$

Using Distributive Property, $a(b+c)=a\times b+a\times c$

$=-\frac{3}{5}(\frac{2}{3}+\frac{1}{6})+\frac{5}{2}$

$=-\frac{3}{5}\left(\frac{4+1}{6}\right)+\frac{5}{2}$

$=-\frac{3}{5}\left(\frac{5}{6}\right)+\frac{5}{2}$

$=-\frac{1}{2}+\frac{5}{2}$

$=2$