# What is the simplified value of  1/3+1/5+1/10 ?

May 13, 2016

$\frac{1}{3} + \frac{1}{5} + \frac{1}{10} = \frac{19}{30}$

#### Explanation:

As LCD of $3$, $5$ and $10$ is $30$

$\frac{1}{3} + \frac{1}{5} + \frac{1}{10}$

= $\frac{1 \times 10}{3 \times 10} + \frac{1 \times 6}{5 \times 6} + \frac{1 \times 3}{10 \times 3}$ or

= $\frac{10}{30} + \frac{6}{30} + \frac{3}{30}$

= $\frac{10 + 6 + 3}{30}$

= $\frac{19}{30}$