# How do you solve (3k)/27=2/3?

Mar 12, 2017

See the entire solution process below:

#### Explanation:

Multiply each side of the equation by $\frac{\textcolor{red}{27}}{\textcolor{b l u e}{3}}$ to solve for $k$ while keeping the equation balanced:

$\frac{\textcolor{red}{27}}{\textcolor{b l u e}{3}} \times \frac{3 k}{27} = \frac{\textcolor{red}{27}}{\textcolor{b l u e}{3}} \times \frac{2}{3}$

$\frac{\cancel{\textcolor{red}{27}}}{\cancel{\textcolor{b l u e}{3}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{3}}} k}{\textcolor{red}{\cancel{\textcolor{b l a c k}{27}}}} = \frac{\textcolor{red}{27} \times 2}{\textcolor{b l u e}{3} \times 3}$

$k = \frac{\textcolor{red}{27} \times 2}{9}$

$k = \frac{\cancel{\textcolor{red}{27}} 3 \times 2}{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}}}$

$k = 6$