Question

Without actually performing the long division, state whether the following numbers will have a
terminating decimal expansion or non-terminating repeating decimal expansion :64/455

Answer 1

Factorizing the denominator, we get,

455 = 5×7×13

Since, the denominator is not in the form of 2^m × 5^n,

Thus 64/455 has a non-terminating decimal expansion.

Hope it Helps