Question

${\displaystyle 2\frac{2}{3}÷5}$ is equal to ______.

Options

• ${\displaystyle \frac{8}{15}}$

• ${\displaystyle \frac{40}{3}}$

• ${\displaystyle \frac{40}{5}}$

• ${\displaystyle \frac{8}{3}}$

Answer 1

${\displaystyle 2\frac{2}{3}÷5}$ is equal to ${\displaystyle \underline{\frac{8}{15}}}$.

Explanation:

Given, ${\displaystyle 2\frac{2}{3}÷5=\frac{(2\times 3)+2}{3}÷5}$

= ${\displaystyle \frac{6+2}{3}÷5}$

= ${\displaystyle \frac{8}{3}\times \frac{1}{5}}$  ......${\displaystyle [\because \text{Reciprocal of} 5=\frac{1}{5}]}$

= ${\displaystyle \frac{8}{15}}$

Hence, ${\displaystyle 2\frac{2}{3}÷5}$ is equal to ${\displaystyle \frac{8}{15}}$.