Question

Write whether the rational number 21/75 will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Answer 1

Answer:

it will have an terminating decimal expansion.

Step-by-step explanation:

we know that if the denominator will be of form 2^n and 5^m or both then it will have terminating decimal expanison......

so,,

21/75= 3*7/3*5*5

then, if will cut 3 on both denominator and numerator then the denominator will of form 5^n

hence,it will have an terminating decimal expansion

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