Question

3. Look at several examples of rational numbers in the form
p/q(q=0), where p and q are integers with
no common factors other than 1 and having
terminanting decimal representations. Can you
guess what property q must satisfy ?​

Answer 1

Explanation:

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Answer 2

$\sf \underline\red{Solution:}$

The decimal representation will be terminating, if the denominators have factors 2 or 5 or both.

Therefore, p/q is a terminating decimal, when prime factorization of q must have only powers of 2 or 5 or both.