# Convert between an improper fraction and a mixed number

We know an improper fraction is a fraction with bigger numbers on the top than the bottom numbers, and a mixed number is a whole number (integer) and a fraction.

Example

Improper fraction is 8/3

Mixed number is 2\2/3

To convert from 8/3 to  2\2/3

To convert 8/3 do what it says i.e 8div3
improper fraction think DIVIDE

So   8/3   is 8 divided by 3

16/5 is 16 divided by 5

7/3   is 7 divided by 3

Example 1

Convert 8/3 to a mixed number

8/3 is 8 divided by 3

3 into 8 is 2 with a remainder of 2

So 8/3=2 remainder 2/3

8/3=2\2/3

Example 2

Convert 13/3 to a mixed number

13/3 is 13 divided by 3

3 into 13 is 4 with a remainder of 1

So 13/3=4 remainder 1/3

13/3=4\1/3

Example 3

Convert 17/6 to a mixed number

17/6 is 17 divided by 6

6 into 17 is 2 with a remainder of 5

So 17/6=2 remainder 5/6

17/6=2\5/6