# How do you cross multiply \frac{4x}{x+2}=\frac{5}{9}?

##### 1 Answer
Oct 27, 2014

In cross-multiplication, we multiply the numerator of each (or one) side by the denominator of the other side. This could be represented as:

So, in this case,

$\frac{4 x}{x + 2} = \frac{5}{9}$

By cross multiplication,

$9 \cdot \left(4 x\right) = 5 \cdot \left(x + 2\right)$

$36 x = 5 x + 5 \cdot \left(2\right)$

$36 x - 5 x = 10$

$31 x = 5$

$x = \frac{5}{31}$