Question

Simplify $\frac{7}{9}÷14$

Answer 1

Here $\frac{7}{9}$is the dividend and $14$ is the divisor.

To solve $\frac{7}{9}÷14$, we multiply the dividend by the reciprocal of the divisor.

$\therefore \frac{7}{9}÷14=\frac{7}{9}\times \frac{1}{14}$ (as the reciprocal of the divisor $14$ is $\frac{1}{14}$)

$=\frac{7\times 1}{9\times 14}$

We know that $7$ is the common factor of $7$ and $14$.

$\therefore \frac{{\sout{7}}^1\times 1}{9\times {\sout{14}}_2}=\frac{1}{18}$

Therefore $\frac{7}{9}÷14=\frac{1}{18}$.