# How do you solve 6/9=8/x?

Feb 10, 2017

See the entire solution process below:

#### Explanation:

First, multiply each side of the equation by the common denominator of the two fractions - $\textcolor{red}{9} \textcolor{b l u e}{x}$:

$\textcolor{red}{9} \textcolor{b l u e}{x} \times \frac{6}{9} = \textcolor{red}{9} \textcolor{b l u e}{x} \times \frac{8}{x}$

$\cancel{\textcolor{red}{9}} \textcolor{b l u e}{x} \times \frac{6}{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}}} = \textcolor{red}{9} \cancel{\textcolor{b l u e}{x}} \times \frac{8}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{x}}}}$

$6 x = 72$

Now, divide each side of the equation by $\textcolor{red}{6}$ to solve for $x$ while keeping the equation balanced:

$\frac{6 x}{\textcolor{red}{6}} = \frac{72}{\textcolor{red}{6}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}} x}{\cancel{\textcolor{red}{6}}} = 12$

$x = 12$