# How do you add the fractions 2 5/6, 7 5/6, and 4 1/6 together?

Mar 29, 2016

$2 \frac{5}{6} + 7 \frac{5}{6} + 4 \frac{1}{6} = 14 \frac{5}{6}$

#### Explanation:

Here we have three fractions $2 \frac{5}{6}$, $7 \frac{5}{6}$ and $4 \frac{1}{6}$, in which denominator is same and is $6$.

To add them, we should first convert them into improper fractions.

Hence, $2 \frac{5}{6} + 7 \frac{5}{6} + 4 \frac{1}{6} = \frac{17}{6} + \frac{47}{6} + \frac{25}{6}$

As the denominator is same in all the fractions we can just add them and

$2 \frac{5}{6} + 7 \frac{5}{6} + 4 \frac{1}{6} = \frac{17}{6} + \frac{47}{6} + \frac{25}{6} = \frac{17 + 47 + 25}{6} = \frac{89}{6}$

Now to convert $\frac{89}{6}$ to proper fractions divide $89$ by $6$ and we have $14$ as quotient and $5$ as remainder. Hence

$2 \frac{5}{6} + 7 \frac{5}{6} + 4 \frac{1}{6} = \frac{17}{6} + \frac{47}{6} + \frac{25}{6} = \frac{17 + 47 + 25}{6} = \frac{89}{6} = 14 \frac{5}{6}$