# How do you solve n/4 - 5/6 = 5/12?

May 13, 2016

5

#### Explanation:

$\frac{n}{4} - \frac{5}{6} = \frac{5}{12}$

Adding $\frac{5}{6}$ both sides we get

$\implies \frac{n}{4} - \cancel{\frac{5}{6}} + \cancel{\frac{5}{6}} = \frac{5}{12} + \frac{5}{6}$

$\implies \frac{n}{4} = \frac{5}{12} + \frac{5}{6}$

Multiplying both sides by 4

$\implies \frac{n}{\cancel{4}} \times \cancel{4} = \frac{5}{\cancel{12}} ^ 3 \times \cancel{4} + \frac{5}{\cancel{6}} ^ 3 \times {\cancel{4}}^{2}$

$\implies n = \frac{5}{3} + \frac{10}{3}$
$\implies n = \frac{5 + 10}{3} = \frac{15}{3} = 5$

$\therefore n = 5$