# How do you write in simplest form: 3 5/6 - 1 1/6?

Dec 14, 2016

$\frac{8}{3}$

#### Explanation:

First, we need to convert the mixed fractions to improper fractions. You do this by multiplying each integer by the appropriate form of $1$ and then adding the result to the fraction portion of the mixed fraction.

$\left(\left(\frac{6}{6} \cdot 3\right) + \frac{5}{6}\right) - \left(\left(\frac{6}{6} \cdot 1\right) + \frac{1}{6}\right)$

$\left(\frac{18}{6} + \frac{5}{6}\right) - \left(\frac{6}{6} + \frac{1}{6}\right)$

$\frac{23}{6} - \frac{7}{6}$

$\frac{23 - 7}{6}$

$\frac{16}{6}$

$\frac{2 \times 8}{2 \times 3}$

$\frac{\cancel{2} \times 8}{\cancel{2} \times 3}$

$\frac{8}{3}$