# How do you solve 4/(m-8)=8/2?

Aug 15, 2016

$m = 9$

#### Explanation:

In this case because there is only one term on each side of the equation and they are both fractions, we can cross-multiply.

If there was more than one term on either side, this method would not work.

$\frac{4}{m - 8} = \frac{8}{2}$

$8 \left(m - 8\right) = 4 \times 2 \text{ gets rid of the fractions}$

$8 m - 64 = 8$

$8 m = 72$

$m = 9$