Question

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

Answer 1

`2 5/6+7 5/6+4 1/6=14 5/6`

Explanation:

Here we have three fractions `2 5/6`, `7 5/6` and `4 1/6`, in which denominator is same and is `6`.

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

Hence, `2 5/6+7 5/6+4 1/6=17/6+47/6+25/6`

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

`2 5/6+7 5/6+4 1/6=17/6+47/6+25/6=(17+47+25)/6=89/6`

Now to convert `89/6` to proper fractions divide `89` by `6` and we have `14` as quotient and `5` as remainder. Hence

`2 5/6+7 5/6+4 1/6=17/6+47/6+25/6=(17+47+25)/6=89/6=14 5/6`