# How do write in simplest form given 1/2-1/3?

Oct 27, 2016

We first have to make the denominators equal before anything else.

#### Explanation:

We can multiply each fraction by $1$ without consequence, where the $1$ is written as $\frac{3}{3}$ and $\frac{2}{2}$ respectively:
$= \frac{1}{2} \cdot \frac{3}{3} - \frac{1}{3} \cdot \frac{2}{2}$

$= \frac{1 \cdot 3}{2 \cdot 3} - \frac{1 \cdot 2}{3 \cdot 2}$

$= \frac{3}{6} - \frac{2}{6} = \frac{3 - 2}{6} = \frac{1}{6}$