Question

Which of the following will have a non-terminating repeating decimal expansion?

• A. $\frac{15}{800}$
• B. $\frac{29}{630}$
• C. $\frac{13}{125}$
• D. $\frac{11}{2^2{5}^3}$

Answer 1

The correct option is B $\frac{29}{630}$

By converting the given options to decimal form we get,

$\frac{15}{800}=.01875$

$\frac{29}{630}=.046031746....$

$\frac{13}{125}=.104$

$\frac{11}{2^2{5}^3}=.022$

By observing the options we see that only one answer is non terminating repeating decimal number.

So, correct answer is option B.