# How do you simplify 5/12 + 2/3?

Jun 3, 2016

$\frac{5}{12} + \frac{2}{3} = 1 \frac{1}{12}$

#### Explanation:

To simplify $\frac{5}{12} + \frac{2}{3}$, we should first modify the fractions so that they have common denominator.

As $3$ is a factor of $12$, the GCD of denominators $12$ and $3$ is $12$ and

$\frac{5}{12} + \frac{2}{3} = \frac{5}{12} + \frac{2 \times 4}{3 \times 4}$

= $\frac{5}{12} + \frac{8}{12} = \frac{13}{12} = \frac{12 + 1}{12}$

= $\frac{12}{12} + \frac{1}{12} = 1 \frac{1}{12}$