# How do you simplify 2/3 + 1/6 ?

Jul 26, 2017

$\frac{5}{6}$

#### Explanation:

$\text{before we can add the fractions we require them to have}$
$\text{a "color(blue)"common denominator}$

$\text{the lowest common multiple (LCM) of 6 and 3 is 6}$

$\Rightarrow \frac{2}{3} = \frac{2}{3} \times \frac{2}{2} = \frac{4}{6}$

$\Rightarrow \frac{2}{3} + \frac{1}{6} = \frac{4}{6} + \frac{1}{6} = \frac{5}{6}$

Jul 26, 2017

$\frac{5}{6}$

#### Explanation:

First, to really simplify things, we need a LCM of teh denominators.
$\therefore \frac{2 \cdot 2}{3 \cdot 2} + \frac{1}{6}$
$= \frac{4 + 1}{6}$
$= \frac{5}{6}$