Yes, but in order to have a non-repeating decimal expansion, the denominator must share _all_ of its factors with the base. That is, only fractions that, when

Yes, but in order to have a non-repeating decimal expansion, the denominator must share _all_ of its factors with the base. That is, only fractions that, when reduced, have a denominator of the form 2^n*5^m (for natural numbers n, m) will terminate in base 10. The explanation given could probably be clearer.