# How do you solve \frac { x } { 1 2 } = \frac { 8 0 } { 1 0 0 }?

Oct 10, 2016

$x = 9.6$ or $\frac{48}{5}$

#### Explanation:

Because it is a proportion, cross multiply

$100 \times x = 100 x$

$12 \times 80 = 960$

So, now the equation looks like:
$100 x = 960$

Isolate x by dividing by 100 on both sides of the equation
$x = 9.6$ or $\frac{48}{5}$