# How do you simplify 3 div 3/5?

##### 1 Answer
Oct 1, 2017

$3 \div \frac{3}{5} = \textcolor{b l u e}{5}$

#### Explanation:

Simplify:

$3 \div \frac{3}{5}$

Any whole number is a fraction, such as $n = \frac{n}{1}$.

Rewrite the expression.

$\frac{3}{1} \div \frac{3}{5}$

When dividing by a fraction, invert the fraction and multiply the numerators and denominators.

$\frac{3}{1} \times \frac{5}{3}$

Simplify.

$\frac{3 \times 5}{1 \times 3}$

Simplify.

$\frac{15}{3}$

Reduce the fraction.

$5$