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Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1992 Dutch Mathematical Olympiad
2
2
Part of
1992 Dutch Mathematical Olympiad
Problems
(1)
fraction
Source: Netherlands 1992
6/28/2009
In the fraction below and its decimal notation (with period of length
4
4
4
) every letter represents a digit, and different letters denote different digits. The numerator and denominator are coprime. Determine the value of the fraction: \frac{ADA}{KOK}\equal{}0.SNELSNELSNELSNEL...
N
o
t
e
.
Note.
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Ada Kok is a famous dutch swimmer, and "snel" is Dutch for "fast".