Question

Which of the following numbers has terminating decimal expansion?

(a) $\frac{37}{45}$

(b) $\frac{21}{2^3{5}^6}$

(c) $\frac{17}{49}$

(d) $\frac{89}{2^2{3}^2}$

Answer 1

Here we have to check terminating decimal expansion.

We know that if the numerator can be written in the form where m and n are non negative positive integer then the fraction will surely terminate. We proceed as follows to explain the above statement

Hence the correct option is (b).