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

2 Answers
Nov 23, 2016

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

Jul 15, 2017

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