Question

Convert the fraction $\frac{2}{5}$ 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 : $\frac{2}{5}=\frac{2\times 2}{5\times 2}=\frac{4}{10}$ .

Now , the decimal representation of the equivalent fraction is : $\frac{4}{10}=0.4$.

Thus , the decimal representation of the given fraction is $0.4$ .