# How do you solve 4/x = 2/3?

Mar 14, 2018

See a solution process below:

#### Explanation:

Because both sides of the equation are pure fractions we can flip the fractions and solve for $x$ without impact the result:

$\frac{x}{4} = \frac{3}{2}$

$\textcolor{red}{4} \times \frac{x}{4} = \textcolor{red}{4} \times \frac{3}{2}$

$\cancel{\textcolor{red}{4}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}} = \frac{12}{2}$

$x = 6$