# How do you add 8\frac { 1} { 2} + 3\frac { 4} { 5}?

Dec 7, 2016

$\frac{123}{10}$ or $12 \frac{3}{10}$

#### Explanation:

Step 1) Convert the mixed fractions into improper fractions:

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

$\frac{16}{2} + \frac{1}{2} + \frac{15}{5} + \frac{4}{5}$

$\frac{17}{2} + \frac{19}{5}$

Step 2) Multiply each term by the proper form of $1$ to get each fraction over a common denominator so we can add the numerators:

$\left(\frac{5}{5} \cdot \frac{17}{2}\right) + \left(\frac{2}{2} \cdot \frac{19}{5}\right)$

$\frac{85}{10} + \frac{38}{10}$

$\frac{123}{10}$

or

$\frac{120}{10} + \frac{3}{10}$

$12 + \frac{3}{10}$

$12 \frac{3}{10}$