# How do you write .285 as a fraction in simplest terms?

Sep 9, 2016

$0 , 285$ as a fraction in simplest term is $\frac{57}{200}$

#### Explanation:

$.285$ or $0.285$ is a fraction in decimal notation.

It is equivalent to $\frac{2}{10} + \frac{8}{100} + \frac{5}{1000}$ or $\frac{285}{1000}$

As the only common factor (other than $1$) between $285$ and $1000$ is $5$ to write $0.285$ as a fraction in simplest term, we need to divide numerator and denominator in $\frac{285}{1000}$ by $5$.

Hence $0.285 = \frac{285}{1000} = \frac{5 \times 57}{5 \times 200} = \frac{57}{200}$