# How do you add 3 1/3 + 4 + 2/5?

Apr 14, 2016

$\frac{116}{15} = 7.33$

#### Explanation:

$3 \frac{1}{3}$ type of fraction is called mixed number fraction.
This type you have to convert to improper fraction type in order to continue with algebraic operations.

The way you can convert it is shown in the picture in the attachment.

The denominator of mixed number fraction will be also the denominator of improper one.

$\frac{10}{3} + 4 + \frac{2}{5}$
$\frac{10}{3} + 4 + \frac{2}{5} = \frac{5 \cdot 10 + 15 \cdot 4 + 3 \cdot 2}{15} = \frac{50 + 60 + 6}{15} = \frac{116}{15} = 7.73$