# How do you solve and check your solution given 9=3/4g?

Jun 27, 2017

$g = 12$

#### Explanation:

Both sides must be divided by $\frac{3}{4}$ to put $g$ on its own. By dividing a fraction, you multiply by the inverse, i.e. $\div \frac{a}{b} \equiv \cdot \frac{b}{a}$.

Therefore, $\frac{3}{4} g \div \frac{3}{4} \equiv \frac{3}{4} g \cdot \frac{4}{3} = \frac{3 \cdot 4}{4 \cdot 3} g = \frac{12}{12} g = g$

$9 \div \frac{3}{4} \equiv 9 \cdot \frac{4}{3} = \frac{36}{3} = 12$

$g = 12$