What is 1/6 + 1/5 + 1/3?

Sep 9, 2015

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

Explanation:

We need to convert each of the terms so they have the same denominator.

The least common denominator is $30$

$\frac{1}{6} = \frac{5}{30} \textcolor{w h i t e}{\text{XXX")1/5=6/30color(white)("XXX}} \frac{1}{3} = \frac{10}{30}$

So
$\frac{1}{6} + \frac{1}{5} + \frac{1}{3}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{5}{30} + \frac{6}{30} + \frac{10}{30}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{5 + 6 + 10}{30}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{21}{30}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{7}{10}$