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

Nov 5, 2015

$3 \frac{1}{7}$

#### Explanation:

A mixed fraction is composed by an integer and a fraction, for example $2 \frac{2}{3}$ means $2 + \frac{2}{3}$

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

$14 , 28 , 42 , 56 , \ldots$, we have that $\frac{44}{14}$ 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:

$\frac{44}{14} - 3 = \frac{44}{14} - \frac{42}{14} = \frac{44 - 42}{14} = \frac{2}{14} = \frac{1}{7}$

So, the mixed fraction is $3 \frac{1}{7}$