# How do you simplify 5/6 + 4/12?

Aug 2, 2016

$\frac{5}{6} + \frac{4}{12} = \frac{7}{6} = 1 \frac{1}{6}$

#### Explanation:

To add the two fractions, we first need to make denominators equal. As first denominator is $6$ and second one is $12$, we can do this by multiplying numerator and denominator of first fraction by $2$.

Hence $\frac{5}{6} + \frac{4}{12}$

= $\frac{5 \times 2}{6 \times 2} + \frac{4}{12}$

= $\frac{10}{12} + \frac{4}{12}$

= $\frac{10 + 4}{12}$

= $\frac{14}{12}$, but as both numerator and denominator are divisible by $2$, this is equal to

$\frac{2 \times 7}{2 \times 6} = \frac{7}{6} = 1 \frac{1}{6}$