# How do you solve  1/3 z + 1/6 = 5 1/6 ?

Mar 24, 2018

$z = 15$

#### Explanation:

$\frac{1}{3} z + \frac{1}{6} = 5 \frac{1}{6} \text{ } \leftarrow$ change to improper fractions

$\frac{1}{3} z + \frac{1}{6} = \frac{31}{6} \text{ } \leftarrow \times 6$ to cancel the denominators

$\textcolor{b l u e}{6 \times} \frac{1}{3} z + \textcolor{b l u e}{6 \times} \frac{1}{6} = \textcolor{b l u e}{6 \times} \frac{31}{6}$

$2 z + 1 = 31$

$\text{ } 2 z = 30$

$\text{ } z = 15$