# How do you change 13 1/3% to a fraction?

Jul 27, 2017

13 1/3%=2/15

#### Explanation:

You convert x% into fraction by dividing it by $100$

As such 13 1/3%=40/3%=40/3xx1/100=cancel40^2/3xx1/cancel100^5=2/15

Jul 27, 2017

$\frac{2}{15}$

#### Explanation:

A percent is a number give out of $100$

13 1/3% means $\frac{13 \frac{1}{3}}{100}$

To simplify this to an easier fraction, treat it as a division:

$\frac{13 \frac{1}{3}}{100} = 13 \frac{1}{3} \div 100$

$\text{ } 13 \frac{1}{3} \div 100$

$= \frac{40}{3} \times \frac{1}{100}$

$= \frac{40}{300} \text{ } \leftarrow$ simplify by $20$

$= \frac{2}{15}$

Check: $2 \div 15 = 0.1333333 \ldots$ which is 13 1/3%