Question

The fraction which gives a recurring decimal is

• A. $\frac{1}{9}$
• B. $\frac{1}{4}$
• C. $\frac{1}{8}$

Answer 1

The correct option is A $\frac{1}{9}$

Let us find the decimal equivalent of $\frac{1}{8}$


Hence, $\frac{1}{8}$ = 0.125
It is not a recurring decimal.

Let us find the decimal equivalent of $\frac{1}{9}$


The remainder is 1 and the quotient is 0.11111 and it does not terminate.
This is a recurring decimal.

Let us find the decimal equivalent of $\frac{1}{4}$.


The decimal equivalent of $\frac{1}{4}$ is 0.25
This is not a recurring decimal.

Hence, the fraction that gives a recurring decimal is $\frac{1}{9}$