# How do you simplify 3/4 +5/6?

Oct 3, 2015

Convert each term into a form with the same value in the denominator for both; then add the numerators to get
$\textcolor{w h i t e}{\text{XXX}} \frac{19}{12} = 1 \frac{7}{12}$

#### Explanation:

$\frac{3}{4} = \frac{9}{12}$

$\frac{5}{6} = \frac{10}{12}$

So
$\frac{3}{4} + \frac{5}{6} = \frac{9}{12} + \frac{10}{12}$

$\textcolor{w h i t e}{\text{XXXX}} = \frac{9 + 10}{12}$

$\textcolor{w h i t e}{\text{XXXX}} = \frac{19}{12}$

or, as a mixed fraction,
$\textcolor{w h i t e}{\text{XXXX}} = 1 \frac{7}{12}$