# How do you simplify 8 1/5+ (4 2/5+3 3/10)?

Nov 8, 2016

$\frac{159}{10}$ or $15 \frac{9}{10}$

#### Explanation:

Step 1) Convert into fractions only
Step 2) For each term multiple by $1$ to get all terms over a common denominator.
Step 3) Use arithmetic to add all the terms

$\left(\frac{5}{5} 8 + \frac{1}{5}\right) + \left(\left(\frac{5}{5} 4 + \frac{2}{5}\right) + \left(\frac{10}{10} 3 + \frac{3}{10}\right)\right) \implies$

$\frac{41}{5} + \left(\frac{22}{5} + \frac{33}{10}\right) \implies$

$\frac{2}{2} \frac{41}{5} + \left(\frac{2}{2} \frac{22}{5} + \frac{33}{10}\right) \implies$

$\frac{82}{10} + \left(\frac{44}{10} + \frac{33}{10}\right) \implies$

$\frac{82}{10} + \frac{77}{10} \implies$

$\frac{159}{10}$

or

$15 \frac{9}{10}$