Question

Change the following mixed number to an improper fraction. Reduce if possible 5 27/100

Answer 1

To write a mixed number as an improper fraction, use the following procedure:

First, write the whole number 5 as a fraction with its denominator equal to 100:

`5=(5\cdot100)/(100)`

Multiply 5*100:

`5=(500)/(100)`

Rewrite the mixed fraction using this representation for the number 5:

`5(27)/(100)=(500)/(100)+(27)/(100)`

Since they have the same denominator, add the fractions 500/100 and 27/100 (let the denominator unaltered):

`(500)/(100)+(27)/(100)=(527)/(100)`

Since 527 and 100 have no common divisors, that fraction cannot be reduced.

Therefore:

`5(27)/(100)=(527)/(100)`