# How do you solve 6/7=2/n?

Oct 1, 2016

$n = \frac{7}{3} = 2 \frac{1}{3}$

#### Explanation:

In an equation such as this one where you have ONE fraction on each side of an = sign, you can get rid of the fractions by cross-multiplying.

$\frac{6}{7} = \frac{2}{n}$

$6 \times n = 7 \times 2 \text{ } \leftarrow$ isolate n

$\frac{6 n}{6} = \frac{14}{6}$

$n = \frac{7}{3} = 2 \frac{1}{3}$