Q.6. Look at several examples of rational numbers in the form (q≠0) where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?
If the prime factorisation of the denominator of the given fractions has the power of 2 only or 5 only or both (and no other factors), the decimal expansion will be terminating.
= 0.5, denominator q = 21
= 0.875, denominator q = 23
= 0.8, denominator q = 51
= 0.3333… (denominator contains factor 3)