John D. Cook 4/10/2026

Distribution of digits in fractions

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This article examines the repeating decimal patterns in fractions k/p where p is a prime greater than 5. It demonstrates that for a given prime denominator, digits may form cycles that vary by cyclic permutations or distinct repeating sets. Using Python code, it shows examples with denominators 13 and 41, and discusses a theorem about digit frequency distribution. The content is mathematical and directly related to number theory and programming, making it relevant to IT/TECHNOLOGY.

Distribution of digits in fractions

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