Question

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

Answer 1

`4 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 xx 4` is 12, we'll subtract `12 " from " 14` to get a value remaining of 2.

Then you put the `2 " over " 3` to get a final value of `4 2/3`.

Or:

`14/3=4.666` We see here that `4` is the only whole number and `0.666...` is left over. Then you just convert that value back to fractions to get your remainder.

`0.666=2/3`

Answer 2

`4 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 `1/3, 2/3, 3/3, 4/3, 5/3, 6/3, 7/3...`

We know that one whole can be written as `5/5 or 3/3 or 8/8 =1`

In this case, in `14/3` every group of `3` thirds represents `1`.

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

`14/3 =(3+3+3+3+2)/3`

`=3/3+3/3+3/3+3/3+2/3`

`=1+1+1+1+2/3`

`=4 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.

`14/3 = 4 2/3`