2002 Math OSP, Number 4

Number Theory Level pending

The real number 2.525252... is a rational number, so that it could be written in the form of m n \frac { m }{ n } , where m and n are integers, n ≠ 0. If it is chosen the numbers m and n that are relatively prime, what is m + n m\quad +\quad n ?


The answer is 349.

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