Question

Divide.

$15\frac{2}{3}$$÷$$5$

Answer 1

Here, we have given a fraction and a whole number. To divide a fraction by a natural number, we multiply the fraction by the reciprocal of the natural number.

The given fraction is $15\frac{2}{3}$ (which is a mixed fraction) and the given natural number is $5$.

Reciprocal of natural number $5$ is $\frac{1}{5}$.

Firstly, converting $15\frac{2}{3}$ into improper form. We have

$15\frac{2}{3}=\frac{15\times 3+2}{3}=\frac{47}{3}$

Now, multiplying the given fraction $\frac{47}{3}$ with the reciprocal of $5$ i.e. $\frac{1}{5}$.

Thus, $\frac{47}{3}$$\times$$\frac{1}{5}$ $=$$\frac{47\times 1}{3\times 5}$ [multiplying the numerators and denominators of the fractions]

$=$$\frac{47}{15}$

Therefore, $15\frac{2}{3}$$÷$$5$ $=$$\frac{47}{15}$