Question

Express $21.08$ as a fraction. Also mention whether it is propoer or improper fraction.

• A. $\frac{2108}{100}$. It is a proper fraction.
• B. $\frac{2108}{1000}$. It is an improper fraction.
• C. $\frac{8}{100}$. It is a proper fraction.
• D. $\frac{2108}{100}$. It is an improper fraction.

Answer 1

The correct option is D $\frac{2108}{100}$. It is an improper fraction.

To convert a decimal number into a fraction, we move the decimal number till far right to figure out the numerator.

The denominator is the 1 followed by the number of zeros by which the number of times decimal point was moved to reach the far right in the numerator.

Let's do the same procedure with $21.08$

$21.08=\frac{Numerator}{Denominator}$
$\Rightarrow 21.08=\frac{2108.0}{Denominator}$

We moved the decimal point by two places in the numerator to reach the far right.

Hence, in the denominator, we add two zeros after 1.

$\Rightarrow 21.08=\frac{2108}{100}$

As 21.08 has a number before the decimal point, it will result in an improper fraction.