# How do you simplify 1/7 + 2/3?

Mar 2, 2018

$\frac{17}{21}$

#### Explanation:

$\frac{1}{7} + \frac{2}{3} = \frac{3}{21} + \frac{14}{21} = \frac{17}{21}$

Mar 2, 2018

$\frac{17}{21}$

#### Explanation:

first find the lowest common denominator, in this case it would be 21 (7 x 3). 7 and 3 have no lower possibilities.

what we do to the bottom we must do to the top so since we multiplied the 7 in $\frac{1}{7}$ by 3, we have to do that to the 1 as well. Same goes for the $\frac{2}{3}$ - the 2 needs to be multiplied by 7.

$\frac{1}{7} + \frac{2}{3}$

$\frac{3}{21} + \frac{14}{21}$

$\frac{17}{21}$