# How do you solve 3/a=1/6?

Jan 21, 2017

See the entire solution process below:

#### Explanation:

To solve this multiple each side of the equation by color(red)(6)color(blue(a) to isolate $a$ and keep the equation balanced:

$\textcolor{red}{6} \textcolor{b l u e}{a} \times \frac{3}{a} = \textcolor{red}{6} \textcolor{b l u e}{a} \times \frac{1}{6}$

$\textcolor{red}{6} \cancel{\textcolor{b l u e}{a}} \times \frac{3}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{a}}}} = \cancel{\textcolor{red}{6}} \textcolor{b l u e}{a} \times \frac{1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{6}}}}$

$\textcolor{red}{6} \times 3 = \textcolor{b l u e}{a} \times 1$

$18 = a$

$a = 18$