# What fractions have repeating decimals?

##### 1 Answer

Apr 10, 2015

Fractions whose reduced form have denominators with factors other than 2, 5 will have repeating decimal expansions.

The decimal expansion will terminate only if the fraction can be written an some numerator over a denominator that is a power of 10. And the only way this can happen is to have only factors of 2 and 5.