# How do you simplify 3 1/6 + 4 1/4?

Jul 16, 2016

#### Explanation:

To add the two numbers we may observe that:

$3 \frac{1}{6} = 3 + \frac{1}{6}$, and similarly

$4 \frac{1}{4} = 4 + \frac{1}{4}$. Now we can add and rearrange:

$3 \frac{1}{6} + 4 \frac{1}{4} = 3 + \frac{1}{6} + 4 + \frac{1}{4} = 3 + 4 + \frac{1}{6} + \frac{1}{4} = 7 + \frac{1}{6} + \frac{1}{4}$

We can now add the fractions:

$\frac{1}{6} + \frac{1}{4} = \frac{2}{12} + \frac{3}{12} = \frac{5}{12}$, and the solution is then:

$7 + \frac{5}{12} = 7 \frac{5}{12}$