Look at several examples of rational number in the form pq (q≠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 ?
The property is if the denominators have factors 2 or 5 or both, the decimal representation will be terminating
E.g.
12 = 0.5, 14 = 0.25, 15 = 0.2,
110 = 0.1, 120 = 0.5, 38 = 0.125,
340 = 0.075 etc.