# How do you solve the proportion y/3=8/9?

Apr 14, 2017

See the entire solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{3}$ to solve for $y$ while keeping the equation balanced:

$\textcolor{red}{3} \times \frac{y}{3} = \textcolor{red}{3} \times \frac{8}{9}$

$\cancel{\textcolor{red}{3}} \times \frac{y}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}}} = \frac{\textcolor{red}{3} \times 8}{3 \times 3}$

$y = \frac{\cancel{\textcolor{red}{3}} \times 8}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 3}$

$y = \frac{8}{3}$ or $y = 2. \overline{6}$