Question

Which one of the following numbers is non-terminating and repeating decimals?

• A. $\frac{39}{24}$
• B. $\frac{45}{56}$
• C. $\frac{78}{32}$
• D. $\frac{3}{11}$

Answer 1

The correct option is D

$\frac{3}{11}$

Finding values of fractions

$\frac{39}{24}=1.625$

$\frac{45}{56}=0.80357...$

$\frac{78}{32}=2.4375$

$\frac{3}{11}=0.272727...$

Out of all the above fractions only $\frac{3}{11}$has a non-terminating (endless numbers to the right of decimal point) and recurring (repeating numbers in a group to the right of decimal point) value.

Hence, $\frac{3}{11}$ is a non-terminating and recurring decimal.