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2005 xIMC keystage2-EMIC individual Question 6

xIMC · 2005 xIMC keystage2-EMIC individual

Question 6

Positive integers $a,b$ satisfy $a+b=333$. How many fractions $a/b$ are less than $1$ and irreducible? Irreducible means numerator and denominator share no common factor greater than $1$.