Question

without actually performing the long division state whether the rational number 600/1500 will have terminating decimal expansion or a non terminating repeating decimal expansion​

Answer 1

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.