# How do you solve 6/61=12/h?

Aug 19, 2017

See a solution process below:

#### Explanation:

First, because the are two pure fractions on each side of the equation we can "flip" the fractions:

$\frac{61}{6} = \frac{h}{12}$

Now, multiply each side of the equation by $\textcolor{red}{12}$ to solve for $h$ while keeping the equation balanced:

$\textcolor{red}{12} \times \frac{61}{6} = \textcolor{red}{12} \times \frac{h}{12}$

$\cancel{\textcolor{red}{12}} 2 \times \frac{61}{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}}} = \cancel{\textcolor{red}{12}} \times \frac{h}{\textcolor{red}{\cancel{\textcolor{b l a c k}{12}}}}$

$122 = h$

$h = 122$