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:

$5=\frac{5\cdot100}{100}$

Multiply 5*100:

$5=\frac{500}{100}$

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

$5\frac{27}{100}=\frac{500}{100}+\frac{27}{100}$

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

$\frac{500}{100}+\frac{27}{100}=\frac{527}{100}$

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

Therefore:

$5\frac{27}{100}=\frac{527}{100}$