Question

Using appropriate properties find
2/3×(-1/2)+1/15+2/3×4/5

Answer 1

Answer:

$\frac{2}{3}\times \left(-\frac{1}{2}\right)+\frac{1}{15}+\frac{2}{3}\times \frac{4}{5}=\frac{4}{15}\quad \left(\mathrm{Decimal:\quad }\:0.26666\dots \right)$

Explanation:

$\frac{2}{3}\left(-\frac{1}{2}\right)+\frac{1}{15}+\frac{2}{3}\times \frac{4}{5}$

$=-\frac{1}{3}+\frac{1}{15}+\frac{8}{15}$

$=-\frac{1}{3}+\frac{9}{15}$

$=-\frac{1}{3}+\frac{9}{15}$

$=-\frac{1}{3}+\frac{3}{5}$

$=-\frac{5}{15}+\frac{9}{15}$

$\mathrm{Apply\:the\:fraction\:rule:\quad \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}}$

$=\frac{-5+9}{15}$

$\mathrm{Add\:the\:numbers:}\:-5+9=4$

$=\frac{4}{15}$