Without dividing Check which among the following have terminating decimal expansions
1)5/9
2)28/16
3)17/25
4)53/100
5)58/25
6)50/12
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4) 53/100 has terminating decimal expansion as factors of its denominator are in form of 2m×5n
100 = 2²×5²....
If any doubt you may also check factors of other denominators and you will find there is no other denominator with factors in form of 2m× 5n.....
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option 4 is the answer of your question
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