# How do you divide 1/ 3\div 5?

Mar 4, 2018

$\frac{1}{5}$

#### Explanation:

We can change this division problem by turning it into a multiplication problem:

We can use a method called "Keep, Change, Flip" or KCF.

This is to say that we keep the left fraction as is, change the division sign to a multiplication sign, and take the reciprocal of the right fraction.

Thus

$\frac{1}{3} \div i \mathrm{de} 5 \implies \frac{1}{3} \times \frac{1}{5}$

Note: $5$ is really a fraction with a denominator of $1$ so it is written as $\frac{5}{1}$. It's reciprocal is then $\frac{1}{5}$ which simply means that we flip the numerator and denominator.

So...

$\frac{1}{3} \times \frac{1}{5} = \frac{1}{15}$