without actually performing the long division state 129 /2 2 5 3 will have a terminating or non terminating repeating decimal expansion
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Hence, 23/ (2352) has a terminating decimal expansion. As you can see, the denominator is not in the form of 2m × 5n. Hence, 129/ (225775) has a non-terminating decimal expansion. Thus, 6/15 has a terminating decimal expansion.
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