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NL-NWO 1992 Problem 2

    In the fraction below and its decimal notation (with period of length 44 ) every letter represents a digit, and different letters denote different digits. The numerator and denominator are coprime. Determine the value of the fraction:

    ADAKOK=0.SNELSNELSNELSNEL...\frac{ADA}{KOK}=0.SNELSNELSNELSNEL...

    Note.Note. Ada Kok is a famous dutch swimmer, and "snel" is Dutch for "fast".

    Dataset text AI-MO AoPS. Quoted with source.

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