# How do you solve x/2 = 5/15?

May 27, 2016

$x = \frac{2}{3}$

#### Explanation:

Given,

$\frac{x}{2} = \frac{5}{15}$

Multiply both sides by $2$.

$\textcolor{b l u e}{2} \left(\frac{x}{2}\right) = \textcolor{b l u e}{2} \left(\frac{5}{15}\right)$

$\textcolor{red}{\cancel{\textcolor{b l u e}{2}}} \left(\frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}}\right) = \textcolor{b l u e}{2} \left(\frac{5}{15}\right)$

Simplify.

$x = \frac{10}{15}$

Since the numerator and denominator can be divided by a common factor of $5$, their values are reduced.

$x = \frac{10 \textcolor{red}{\div 5}}{15 \textcolor{red}{\div 5}}$

$x = \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\frac{2}{3}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$