# What is the solution to the proportion x/2 = 5/15?

May 4, 2015

15 $\cdot$ x = 5 ⋅ 2

15 x = 10

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

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

May 4, 2015

Solve the proportion $\frac{x}{2} = \frac{5}{15}$ .

Reduce $\frac{5}{15}$ to $\frac{1}{3}$ by dividing the numerator and denominator by $5$.

$\frac{5 \div 5}{15 \div 5} = \frac{1}{3}$

Cross multiply.

$\frac{x}{2} = \frac{1}{3}$ =

$3 \cdot x = 2 \cdot 1$ =

$3 x = 2$

Solve for $x$ by dividing both sides by $3$.

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

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