Q. 64.0( 295 Votes )

Look at several e

Answer :

We observe that when q is 2, 4, 5, 8, 10… then the decimal expansion is terminating. For example:

, denominator q = 21


denominator q = 23


, denominator q = 51


It can be observed that the terminating decimal can be obtained in a condition where prime factorization of the denominator of the given fractions has the power of 2 only or 5 only or both.

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