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MathNet 2026 — Part 08 Question 160

Math Olympiad Vault · MathNet 2026 — Part 08

Question 160

Alice picks an odd integer $n$ and writes the fraction
$$
\frac{2 n+2}{3 n+2}
$$
Show that this fraction is already in lowest terms. (For example, if $n=5$ this is the fraction $\frac{12}{17}$.)