# What is 2 2/3+ 4 3/5?

Dec 8, 2016

$\frac{109}{15}$

#### Explanation:

first, convert to improper fractions:

$2 \frac{2}{3} = \frac{8}{3}$

$4 \frac{3}{5} = \frac{23}{5}$

then find the common factor of the denominators:

3 x 5= 15

$\frac{8}{3} = \frac{40}{15}$

$\frac{23}{5} = \frac{69}{15}$

with the denominators equal, you can add the numerators:

$\frac{40}{15} + \frac{69}{15} = \frac{109}{15}$