Question

Convert $\frac{11}{25}$ into a decimal number and verify it with long division.

• A. 0.4
• B. 0.04
• C. 0.44

Answer 1

The correct option is C 0.44

To convert $\frac{11}{25}$ into a decimal number, first we make the denominator 10 or 100 or so on by multiplying the fraction by a number.

We know, $25\times 4=100$
$\therefore$ We multiply the numerator and denominator by 4.

$\frac{11}{25}=\frac{11}{25}\times \frac{4}{4}=\frac{11\times 4}{25\times 4}=\frac{44}{100}=0.44$

Let's verify the same using long division.
The quotient is 0.44, which is the same as the earlier approach.