# How do you simplify 3/4 : 2/3?

Sep 24, 2015

$\textcolor{red}{\frac{3}{4} : \frac{2}{3} = 9 : 8}$

#### Explanation:

You want to convert the fractional proportion $\frac{3}{4} : \frac{2}{3}$ to a proportion of two integers.

Multiply each side of the proportionality by the lowest common multiple of the denominators.

The lowest common multiple of the denominators ($\text{4 and 3}$) is $12$.

3/4:2/3 = (3/4× 12):(2/3×12)

$\frac{3}{4} : \frac{2}{3} = 9 : 8$