Question

without actually performing the long division state whether the following rational number will have terminating decimal expansion or non-terminating repeating decimal expansion 315/16

Answer 1

315/16 = 315/2 raise to the power 4
Hence it will have a terminating decimal expansion.

It is a fact that if the denominator is a multiple of 2 , 5 or both of them then it will have a terminating decimal expansion.

Answer 2

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