# How do you change 14/3 into a mixed number?

Nov 23, 2016

$4 \frac{2}{3}$

#### Explanation:

First you need to figure out how many times 3 will go into 14 evenly, with nothing left over.

In this case, $3$ will divide into $14$ evenly $4$ times.

Because $3 \times 4$ is 12, we'll subtract $12 \text{ from } 14$ to get a value remaining of 2.

Then you put the $2 \text{ over } 3$ to get a final value of $4 \frac{2}{3}$.

Or:

$\frac{14}{3} = 4.666$ We see here that $4$ is the only whole number and $0.666 \ldots$ is left over. Then you just convert that value back to fractions to get your remainder.

$0.666 = \frac{2}{3}$

Jul 15, 2017

$4 \frac{2}{3}$

#### Explanation:

You can read this simply as "fourteen over three", but there is better understanding if you read it as "fourteen thirds".

Counting in thirds would be $\frac{1}{3} , \frac{2}{3} , \frac{3}{3} , \frac{4}{3} , \frac{5}{3} , \frac{6}{3} , \frac{7}{3.} . .$

We know that one whole can be written as $\frac{5}{5} \mathmr{and} \frac{3}{3} \mathmr{and} \frac{8}{8} = 1$

In this case, in $\frac{14}{3}$ every group of $3$ thirds represents $1$.

The thinking would be to break $14$ up into groups of $3$.....

$\frac{14}{3} = \frac{3 + 3 + 3 + 3 + 2}{3}$

$= \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{3}{3} + \frac{2}{3}$

$= 1 + 1 + 1 + 1 + \frac{2}{3}$

$= 4 \frac{2}{3}$

The short method is simply to divide the whole number by the denominator to find the whole number.

$14 \div 3 = 4$ with a remainder of $2$ because $14 - 12 = 2$

The $2$ is a number of thirds, because that is the denominator we are working with.

$\frac{14}{3} = 4 \frac{2}{3}$