On 21/11/2021 01:02, Chris Angelico wrote:
If you have a number with a finite binary representation, you can
guarantee that it can be represented finitely in decimal too.
Infinitely repeating expansions come from denominators that are
coprime with the numeric base.
Not quite, e.g. 1/14 is a repeating decimal but 14 and 10 are not coprime.
I believe it is correct to say that infinitely recurring expansions
occur when the denominator is divisible by a prime that does not divide
the base.
Rob Cliffe
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