Which of the following numbers has terminating decimal expansion?

Explanation:

When the denominator of the rational number is in the form 2〖^m〗5〖^n〗 and does not have any other prime factor, then it is a terminating decimal expansion.

37/45=37/(3〖^2〗×5)

It is non terminating.

21/(2〖^3〗×5〖^6〗)

Its denominator is in the form 2〖^m〗5〖^n〗, hence it is a terminating decimal expansion.

(C)17/49=17/(7〖^2〗)

It is non terminating.

(D) 89/(2〖^3〗×3〖^2〗)

It is non terminating.