Question

Convert the fraction $\frac{28}{125}$ into decimal by changing the denominator to a multiple of 10 .

Answer 1

Conversion of fractions into decimals when the denominator is not a multiple of 10 :

• for converting a fraction whose denominator is not a multiple of 10 , first convert the given fraction into an equivalent fraction with denominator as a multiple of 10 .
• Then , convert the equivalent fraction into the decimal by placing the decimal point starting from the extreme right before as many digits as the number of zeros after 1 in the denominator.
  

The conversion of the fraction into equivalent fraction is : $\frac{28}{125}=\frac{28\times 8}{125\times 8}=\frac{224}{1000}$ .

Now , the decimal representation of the equivalent fraction is : $\frac{224}{1000}=0.224$.

Thus , the decimal representation of the given fraction is $0.224$ .