When fractions are expressed in different bases, they can be terminating or repeating. For example, when \frac{1}{5} is expressed in base 3, the result is

0.\overline{0121}_3 = 0.01210121 \dots,

which is repeating.

When \frac{1}{288} is expressed in base 15, is it terminating or repeating?

ABJeIIy Jun 16, 2024