Question

Which of the following fractions can be expressed as non-terminating decimals?

• A. $\frac{3}{8}$
• B. $\frac{7}{25}$
• C. $\frac{4}{28}$
• D. $\frac{21}{256}$

Answer 1

The correct option is C

$\frac{4}{28}$

When the denominator of a fraction has prime factors $2$ and/or $5$ only, then it is terminating decimal otherwise it is non-terminating decimal.

In $\frac{4}{28}$, denominator $28$ can be expressed as $2\times 2\times 7$, it contains the prime $7$. So it has non-terminating expansion.

Hence, Option C is correct.