# How do you solve 1/3x=1/2?

Jun 12, 2015

Multiply both sides by the Least Common Denominator, then divide both sides by the coefficient of $x$.

#### Explanation:

The Least Common Denominator of $\frac{1}{3}$ and $\frac{1}{2}$ is $6$.

multiply by LCD
$\textcolor{w h i t e}{\text{XXXX}}$$\frac{1}{3} x \cdot 6 = \frac{1}{2} \cdot 6$
simplify
$\textcolor{w h i t e}{\text{XXXX}}$$2 x = 3$
divide by coefficient of $x$
$\textcolor{w h i t e}{\text{XXXX}}$$x = \frac{3}{2}$