Question

a rational no. p/q can be expressed as a terminating decimal of q has no prime factor other than -​

Answer 1

A rational number $\bold\red{\frac{p}{q} }$ can be expressed as a terminating decimal of q if it has no other prime factor than 2 and 5 .

Let $\bold\red{\frac{p}{q} }$ be a rational number then it decimal expansion will be terminate if q is in the form of $\bold\red{ {2}^{m} \times {5}^{n} }$

where m and n are non - negative integers.

Answer 2

It don't have any Prime factor other than 2 and 5