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04-14-2024 , 02:26 AM
This can be generalised to any base. The base b expansion of a rational number in lowest terms repeats when the denominator has a prime in its factorisation which b does not.

A particular case of this is that in binary, all rational numbers that are not integers or quotients of a power of 2 (or their sums) repeat.

Last edited by d2_e4; 04-14-2024 at 02:33 AM.
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04-14-2024 , 06:39 PM
Quote:
Originally Posted by FellaGaga-52
For non-zero whole numbers < 303 ??
It came up like this because I was reading a 303 page book, and at each break I would divide to see my completion percentage. They were all repeating. Unversed, I knew there must be some gimme principle but I didn't have it.
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04-14-2024 , 07:39 PM
Now you have it.
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