If p/q is a rational number (q is not equal to 0), what is the condition on q, so that the decimal representation of p/q is terminating?

Q. If $\frac{p}{q}$ is a rational number $(q\ne 0)$, what is the condition on $q$ so that the decimal representation of $\frac{p}{q}$ is terminating?

Q.

If p/q is a rational no (q ≠0) what condition of q so that the decimal representation of p/q is terminating . ( With solved solution )

Thanks.

Q. Write the condition to be satisfied by q so that a rational number $\frac{p}{q}$has a terminating decimal expansion.

Q. Rational number $\frac{p}{q},q\ne 0$ will be terminating decimal if the prime factorisation of q is of the form (m and n are non negative integers) :

Q. Look at several examples of rational number in the form $\frac{p}{q}$ $(q\ne 0)$, where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy ?