Question

How do you write (44)/(14) as a mixed fraction?

Answer 1

`3 1/7`

Explanation:

A mixed fraction is composed by an integer and a fraction, for example `2 2/3` means `2+2/3`

So, we must find the biggest integer which is still smaller than the fraction, and then express the reminder (which will be smaller than `1`) as another fraction.

In your case, since the multiples of `14` are

`14, 28, 42, 56,...`, we have that `44/14` is more than `3` and less than `4`, so it must be a decimal number starting with `3`. If we subtract that `3`, we'll find the remainder:

`44/14 - 3 = 44/14 - 42/14 = (44-42)/14 = 2/14 = 1/7`

So, the mixed fraction is `3 1/7`