# How do you solve 16/7=m/21?

Mar 20, 2018

See a solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{21}$ to solve for $m$ while keeping the equation balanced:

$\textcolor{red}{21} \times \frac{16}{7} = \textcolor{red}{21} \times \frac{m}{21}$

$\cancel{\textcolor{red}{21}} \textcolor{red}{3} \times \frac{16}{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}}} = \cancel{\textcolor{red}{21}} \times \frac{m}{\textcolor{red}{\cancel{\textcolor{b l a c k}{21}}}}$

$\textcolor{red}{3} \times 16 = m$

$48 = m$

$m = 48$