Question

Express the given decimal $5.25$ into fraction ?

• A. $\frac{105}{4}$
• B. $\frac{21}{8}$
• C. $\frac{21}{4}$
• D. $\frac{525}{25}$

Answer 1

The correct option is C $\frac{21}{4}$

Given decimal number is $5.25$
First we will shift decimal to two places right, which can be done by dividing it by 100.
So, we get
$\Rightarrow 5.25=\frac{525}{100}$

now simplifying the fraction by cancelling 25 from numerator and denominator. Since 25 is factor of both numbers. we get
$\Rightarrow \frac{525}{100}=\frac{21\times 5\times 5}{4\times 5\times 5}=\frac{21\times 25}{4\times 25}=\frac{21}{4}$

so the coversion of $5.25$ into fraction will give $\frac{21}{4}$