Question

Simplify : $\frac{0.2\times 0.2+0.2\times 0.02}{0.044}$

• A. $0.4$
• B. $0.2$
• C. $0.1$
• D. $1$

Answer 1

The correct option is D $1$

We will first convert the decimals into fraction in the given fraction and then solve it as follows:

$\frac{0.2\times 0.2+0.2\times 0.02}{0.044}=\frac{(\frac{2}{10}\times \frac{2}{10})+(\frac{2}{10}\times \frac{2}{100})}{\frac{44}{1000}}=\frac{\frac{4}{100}+\frac{4}{1000}}{\frac{44}{1000}}=\frac{\frac{40+4}{1000}}{\frac{44}{1000}}=\frac{\frac{44}{1000}}{\frac{44}{1000}}=1$

Hence, $\frac{0.2\times 0.2+0.2\times 0.02}{0.044}=1$