# How do you solve 12/x=3/4?

Feb 3, 2017

See the entire solution process below:

#### Explanation:

First, multiply each side of the equation by $\textcolor{red}{4} \textcolor{b l u e}{x}$ to eliminate the fractions while keeping the equation balanced:

$\textcolor{red}{4} \textcolor{b l u e}{x} \times \frac{12}{x} = \textcolor{red}{4} \textcolor{b l u e}{x} \times \frac{3}{4}$

$\textcolor{red}{4} \cancel{\textcolor{b l u e}{x}} \times \frac{12}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{x}}}} = \cancel{\textcolor{red}{4}} \textcolor{b l u e}{x} \times \frac{3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}}}$

$48 = 3 x$

Now, divide each side of the equation by $\textcolor{red}{3}$ to solve for $x$ while keeping the equation balanced:

$\frac{48}{\textcolor{red}{3}} = \frac{3 x}{\textcolor{red}{3}}$

$16 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} x}{\cancel{\textcolor{red}{3}}}$

$16 = x$

$x = 16$