# What is  3/5 + 7/10 + 1/15 ?

Apr 2, 2016

$\frac{3}{5} + \frac{7}{10} + \frac{1}{5} = \frac{41}{30}$

#### Explanation:

$\frac{3}{5} + \frac{7}{10} + \frac{1}{5} = \left(\frac{3}{5} \cdot 1\right) + \left(\frac{7}{10} \cdot 1\right) + \left(\frac{1}{15} \cdot 1\right)$

$= \left(\frac{3}{5} \cdot \frac{6}{6}\right) + \left(\frac{7}{10} \cdot \frac{3}{3}\right) + \left(\frac{1}{15} \cdot \frac{2}{2}\right)$

$= \frac{3 \cdot 6}{5 \cdot 6} + \frac{7 \cdot 3}{10 \cdot 3} + \frac{1 \cdot 2}{15 \cdot 2}$

$= \frac{18}{30} + \frac{21}{30} + \frac{2}{30}$

$= \frac{18 + 21 + 2}{30}$

$= \frac{41}{30}$