Question

Which of the following is a non - terminating decimal :

• A. $\frac{2}{11}$
• B. $\frac{2}{40}$
• C. $\frac{3}{150}$
• D. $\frac{18}{120}$

Answer 1

The correct option is A

$\frac{2}{11}$

$\frac{2}{11}$ = 0.18181818..... which is a non - terminating decimal

$\frac{2}{40}$ = $\frac{1}{20}$ = $\frac{1\times 5}{20\times 5}$ = $\frac{5}{100}$ = 0.05 is a terminating decimal

$\frac{3}{150}$ = $\frac{1}{50}$ = $\frac{1\times 2}{50\times 2}$ = $\frac{2}{100}$ = 0.02 is a terminating decimal

$\frac{18}{120}$ = $\frac{3}{20}$ = $\frac{3\times 5}{20\times 5}$ = $\frac{15}{100}$ = 0.15 is a terminating decimal