Question

Which of the following numbers can be represented as non-terminating, repeating decimals?

• A. $\frac{39}{24}$
• B. $\frac{3}{11}$
• C. $\frac{3}{16}$
• D. $\frac{137}{25}$

Answer 1

The correct option is B $\frac{3}{11}$

$\frac{3}{11}$ as its denominator has no factor of $2$ or $5$ or both, so it has non-terminating nor repeating decimal expansion.
In $\frac{39}{24}=\frac{13}{8},\frac{3}{16}$ and $\frac{137}{25}$ all have terminating decimal expansion.