Question

Which of the following fractions can be expressed as recurring decimal ?

• A. $\frac{1}{2}$
• B. $\frac{4}{9}$
• C. $\frac{5}{8}$
• D. $\frac{3}{4}$

Answer 1

The correct option is B $\frac{4}{9}$

Recurring decimals are decimals whose fractions' denominator cannot be written as powers of 10.

Here, the fractions $\frac{1}{2}$, $\frac{5}{8}$ and $\frac{3}{4}$ can be written as $\frac{5}{10}$, $\frac{625}{1000}$ and $\frac{75}{100}$ respectively.

The fraction $\frac{4}{9}$ cannot be expressed as above.

So, decimal form of the fractions $\frac{4}{9}$ is the recurring decimal.