Question

Simplify $\frac{10}{21}÷15$

Answer 1

Here $\frac{10}{21}$is the dividend and $15$ is the divisor.

To solve $\frac{10}{21}÷15$, we multiply the dividend by the reciprocal of the divisor.

$\therefore \frac{10}{21}÷15=\frac{10}{21}\times \frac{1}{15}$ (as the reciprocal of the divisor $15$ is $\frac{1}{15}$)

$=\frac{10\times 1}{21\times 15}$

We know that $5$ is the common factor of $10$ and $15$.

$\therefore \frac{{\sout{10}}^2\times 1}{21\times {\sout{15}}_3}=\frac{2}{63}$

Therefore $\frac{10}{21}÷15=\frac{2}{63}$.