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Fractions in Different Bases

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Fractions are examples of rational numbers, whose decimal expansions always eventually repeat. The maximal period before repetition is one less than the denominator. Cases with maximal periods, such as 7, 17, 19, 23, 29, ..., are known as long primes.

Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA

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