# How do you write 137.5% as a fraction?

Jan 20, 2016

$\frac{11}{8}$

#### Explanation:

We can write a percentage as a fraction by taking the percentage and dividing it by 100. In this case:

137.5% = 137.5/100

We want to simplify our fraction now, and the first step is to get rid of the decimals by multiplying both top and bottom by $2$:

$= \frac{275}{200}$

By looking at this fraction, you might notice that both $275$ and $200$ are divisible by $5$, so let's divide both by $5$

$= \frac{55}{40}$

We notice again that $55$ and $40$ are divisible by $5$, so we divide both by $5$ again

$= \frac{11}{8}$