# How do you simplify n/2 - n/7?

Jul 22, 2016

$\frac{5 n}{14}$

#### Explanation:

We need to resolve these into a single fraction. The lowest common multiple of 2 and 7 is 14. We multiply the numerator and denominator of each fraction by the amount required to get the denominator to 14.

$\frac{n}{2} - \frac{n}{7}$

$\frac{n}{2} \cdot \frac{7}{7} - \frac{n}{7} \cdot \frac{2}{2}$

$\frac{7 n}{14} - \frac{2 n}{14} = \frac{5 n}{14}$