# How do you simplify 5 8/9-3 2/3?

Jun 18, 2016

$5 \frac{8}{9} - 3 \frac{2}{3} = 2 \frac{2}{9}$

#### Explanation:

$5 \frac{8}{9} - 3 \frac{2}{3}$

= $5 + \frac{8}{9} - \left(3 + \frac{2}{3}\right)$

= $5 - 3 + \left(\frac{8}{9} - \frac{2}{3}\right)$

= $2 + \left(\frac{8}{9} - \frac{2 \times 3}{3 \times 3}\right)$

= $2 + \left(\frac{8}{9} - \frac{6}{9}\right)$

= $2 \frac{2}{9}$