decimal expansion of a rational number is terminating if In its denominator there is a. 2 or5 b. 3 or6 c. 9 or11 d. 3or7

Dear student,

Let x=p/q be a rational number such that the prime factorization of q is of the form 2m×5n , where n, m are positive integers.
Then x has a decimal expansion which terminates.
Example:

(49/500)=(49/22×53)

Since the denominator is of the form 2m×5n, the rational number has a terminating decimal expansion.
Any rational number its denominator is in the form of 2m×5n,where m,n are positive integers are terminating decimals.
So correct answer will be option A

Regards

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