# How do you write 31/8 as a mixed number?

May 26, 2018

$3 \frac{7}{8}$

#### Explanation:

You determine how many times 8 divides in to 31 evenly:

$\frac{31}{8}$

$3 \cdot 8 = 24$
$4 \cdot 8 = 32$ too big.

so the first part of your mixed number is $3$.

Now to determine your second part we find the remainder:

$31 - \left(3 \cdot 8\right) = 7$

the remainder is still being divided by 8 so our final answer is:

$3 \frac{7}{8}$