How do you solve \frac { 15} { 27} = 5/x?

Jan 9, 2018

$x = 9$

Explanation:

$\frac{15}{27} = \frac{5}{x}$

$\iff$ Cross Multiply

$15 x = 5 \left(27\right)$

$\iff$ Divide Both Sides by $15$

$x = \frac{5 \left(27\right)}{15}$

then since $15 = 5 \left(3\right)$ we can say

$x = \frac{5 \left(27\right)}{5 \left(3\right)} = \frac{27}{3} = 9$

Jan 9, 2018

$x = 9$

Explanation:

You first multiply both numbers so that the numerators are the same, so you multiply $\frac{5}{x}$ by $3$ to turn the equation into $\frac{15}{27} = \frac{15}{3 x}$. Now you can remove the $15$'s from the equation to get $27 = 3 x$. You divide both sides by $3$ to get $9 = x$. Thus, x is $9$.