Question

Simplify
$\frac{\frac{7}{3}\times \frac{2}{3}÷\frac{3}{5}}{2+1\frac{2}{3}}$.

Answer 1

$\frac{7}{3}\times \frac{2}{3}÷\frac{3}{5}=\frac{7}{3}\times \frac{\frac{2}{3}}{\frac{3}{5}}=\frac{7}{3}\times \frac{2}{3}\times \frac{5}{3}=\frac{70}{27}$

$2+1\frac{2}{3}=2+1+\frac{2}{3}=3+\frac{2}{3}=\frac{11}{3}$

$\frac{\frac{7}{3}\times \frac{2}{3}÷\frac{3}{5}}{2+1\frac{2}{3}}=\frac{\frac{70}{27}}{\frac{11}{3}}=\frac{70}{27}\times \frac{3}{11}=\frac{70}{99}$