Question

Which of the following is a terminating fractions?

• A. $\frac{5}{13}$
• B. $\frac{3}{11}$
• C. $\frac{17}{20}$
• D. $\frac{11}{15}$

Answer 1

The correct option is C $\frac{17}{20}$

A terminating decimal number is that number which contains a finite number of digits after the decimal point.

To check which of the given options is a termination fraction, we will find the equivalent decimals for the given fractions.

For $\frac{5}{13}$,

$\frac{5}{13}=0.\overline{384615}$, since the digits after the decimal point keeps on repeating, it is a recurring decimal.

For $\frac{3}{11}$,

$\frac{3}{11}=0.\overline{27}$, since for this fraction also the digits after the decimal point keeps on repeating, therefore it is a recurring decimal.

For $\frac{17}{20}$,

$\frac{7}{20}=0.85$, it contains finite digits after the decimal point, therefore it a terminating number.

For $\frac{11}{15}$,

$\frac{11}{15}=0.7\overline{3}$, here the digit $3$ after the decimal point keeps on repeating, thus it is a recurring decimal.

Hence, it can be concluded that out of the given options only $\frac{17}{20}$ is a terminating fractions.