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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?

 Aug 30, 2024

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