# How do you simplify 5 5/7 + 2 1/3?

Aug 24, 2016

$8 \frac{1}{21}$
Add the whole numbers then find a common denominator in order to add the fractions.

#### Explanation:

It is only possible to add or subtract fractions that are the same.

The whole numbers 5 + 2 can be added because they are the same, both are whole numbers. 5 + 2 =7

$\left(\frac{5}{7}\right)$ and $\left(\frac{1}{3}\right)$ cannot be added because they are not the same type of fraction.

To make them the same they must have the same denominator .

The common denominator is $3 \times 7 = 21$

Multiply $\frac{5}{7} \times \frac{3}{3}$ and $\frac{1}{3} \times \frac{7}{7}$

This gives $\frac{15}{21}$ and $\frac{7}{21}$

Now these can be added because they are the same.

$\frac{15}{21}$ + $\frac{7}{21}$ = $\frac{22}{21}$

$\frac{22}{21} = 1 \frac{1}{21}$

$7 + 1 \frac{1}{21} = 8 \frac{1}{21}$