Rational number as recurring / terminating

Assertion (A): The fraction value of 3.bar(12)=309/99 , so the makes 3.bar(12) a rational number. Reason(R):Non terminating and recurring decimals are also irrational numbers

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (13)/(3125)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (17)/(8)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (64)/(455)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (15)/(1600)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (29)/(343)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (6)/(15)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (35)/(50)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (77)/(210)

If the rational number a/b has a terminating decimal expansion, what is the condition to be satisfied by b ?