What kinds of decimals will fractions turn into?

Answer 1

Rational numbers will become either a terminating decimal (if the denominator has prime factors of 2 and/or 5 only) or a decimal that recurs one or more digits (possibly after one or more digits that do not recur).

Examples:

1/2 = 0.5 (terminates)

1/3 = 0.333.... (3 recurs)

1/6 = 0.1666.... (6 recurs after the initial non-recurring 1)

1/7 = 0.142857142857142857.... (142857 recurs)

Answer 2

Rational fractions will be terminating or recurring decimal numbers. Irrational fractions will be non-terminating, non-repeating decimals.