10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

Which of the following will have a terminating decimal expansion?

A) \[\frac{77}{210}\]

B) \[\frac{23}{30}\]

C) \[\frac{125}{441}\]

D) \[\frac{23}{8}\]

Correct Answer: D

Solution :

Sol. [d] For terminating decimal expansion, denominator must have only 2 or only 5 or 2 and 5 as factor.

Here, \[\frac{23}{8}=\frac{23}{{{(2)}^{3}}}\]

(only 2 as factor of denominator so terminating)