Question

without actually performing the long division state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion. also write down the decimal expansions of those rational numbers which have terminating decimal expansions.

QUESTION: (1)8/19 (2)37/41 (3)127/164

PLEASE HELP TO SOLVE ​

Answer 1

Answer:

without actually performing the long division state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion. also write down the decimal expansions of those rational numbers which have terminating decimal expansions.

QUESTION: (1)8/19 (2)37/41 (3)127/164

PLEASE HELP TO SOLVE

Answer 2

simple write as products of primes and if denominator is in the form

${2}^{n} \times {5}^{n}$

then it is rational