Question

Which of the following numbers has terminating decimal expansion ?
37÷45
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Answer 1

Answer:

If the prime factorisation of the denominator has only powers of 2 and 5 in it, then the decimal expansion will terminate.

45 is in the denominator

45 = 3*3*5

As 3 is present in the prime factorisation of 45, the decimal expansion will be non-terminating.