Question

What is `9/2` as a mixed number?

Answer 1

`9/2=4 1/2`

Explanation:

`9/2 = (2+2+2+2+1)/2`

`=(4*2+1)/2`

`=(4*2)/2 + 1/2`

`=4*2/2+1/2`

`=4*1+1/2`

`=4+1/2`

`=4 1/2`

Answer 2

`9/2 = 4 1/2`

Explanation:

An improper fraction means that all the whole numbers are given as fractions.

'Counting in halves' would be:

`1/2" "2/2" "3/2" "4/2" "5/2" "6/2" "7/2" "8/2" "9/2`

Or in mixed numbers:

`1/2" "1" "1 1/2" "2" "2 1/2" "3" " 3 1/2" "4" "4 1/2`

To convert an improper fraction into a mixed number, divide the numerator by the denominator to find out how many whole numbers there are. The remainder is given as a fraction with the same denominator.

`9/2 = 9 div2`

`9div 2 = 4 " remainder " 1`

`9/2 = 4 1/2`

Another example: `23/5 = 23div5`

`23 div 5 = 4 " remainder "3`

`23/5 = 4 3/5`