Question

Which of the following fractions gives recurring decimals?

• A. $\frac{1}{6}$
• B. $\frac{1}{3}$
• C. $\frac{2}{5}$
• D. $\frac{3}{6}$

Answer 1

Answer: (A), (B)

The correct options are
A

$\frac{1}{6}$

B

$\frac{1}{3}$

Recurring decimals are decimals in which the numbers repeat periodically.

In the given options $\frac{2}{5}$ and $\frac{3}{6}$ are not reccuring decimals because

$\frac{2}{5}$ = 0.4 and $\frac{3}{6}$ = $\frac{1}{2}$ = 0.1

In, $\frac{1}{6}$ = 0.1666666....... and $\frac{1}{3}$ = 0.333333....... the numbers keeps repeating. So, $\frac{1}{6}$ and $\frac{1}{3}$ are reccuring fractions.