Question

Simplify: $\frac{(0.2\times 0.2+0.01)}{(0.1\times 0.1+0.02)}$

• A. $\frac{5}{3}$
• B. $\frac{41}{12}$
• C. $\frac{41}{4}$
• D. $\frac{9}{5}$

Answer 1

The correct option is A $\frac{5}{3}$

$\frac{(0.2\times 0.2+0.01)}{(0.1\times 0.1+0.02)}$

$\Rightarrow$ $\frac{(0.04+0.01)}{(0.01+0.02)}$

$\Rightarrow$ $\frac{0.05}{0.03}$

$\Rightarrow$ $\frac{0.05}{0.03}\times \frac{100}{100}$

$\Rightarrow$ $\frac{5}{3}$

$\therefore$ $\frac{(0.2\times 0.2+0.01)}{(0.1\times 0.1+0.02)}=\frac{5}{3}$