Question

Convert the fraction $\frac{7}{5}$ into decimal by changing the denominator to a multiple of 10 .

Answer 1

Conversion of a fraction into decimal when the 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 a 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.

For the given fraction , the conversion of the fraction into equivalent fraction is :

$\frac{7}{5}=\frac{7\times 2}{5\times 2}=\frac{14}{10}$

Now , for the equivalent fraction ,the decimal representation will be $\frac{14}{10}=1.4$ .

Thus , the decimal representation of fraction is $1.4$ .