How do you solve 5/a=30/54?

Jan 28, 2017

$a = 9$

Explanation:

$\frac{5}{a} = \frac{30}{54}$ => simplify: $\frac{30}{54} = \frac{5}{9}$ then:
$\frac{5}{a} = \frac{5}{9}$=>equal fractions with equal numerators, then the denominators must be equal so:
$a = 9$=> let's prove it:
$\frac{5}{a} = \frac{5}{9}$=>simplify further divide both sides by 5:
$\frac{1}{a} = \frac{1}{9}$=>cross multiply:
$1 \cdot a = 1 \cdot 9$=>or:
$a = 9$