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MathNet 2007-part-02 — 187 problems (EN–VI) Question 101

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 101

Find all positive integer pairs $(m, n)$ that satisfy the following conditions.

(1) $m, n \leq 20$

(2) $m$ and $n$ are relatively prime.

(3) $\frac{5}{7} \lt \frac{m}{n} \lt \frac{3}{4}$