Question

By what number should $6\frac{2}{9}$ be divided to obtain $4\frac{2}{3}$?

Answer 1

Required number = $6\frac{2}{9}÷4\frac{2}{3}$

= $\frac{56}{9}÷\frac{14}{3}$

= $\frac{56}{9}\times \frac{3}{14}$ [∵ Reciprocal of $\frac{14}{3}$ = $\frac{3}{14}$]

= $\frac{4}{3}$ = $1\frac{1}{3}$

Hence, we have to divide $6\frac{2}{9}$ by $1\frac{1}{3}$ to obtain $4\frac{2}{3}$.