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IMAS 2018 Junior Round 1 Question 17

IMAS · IMAS 2018 Junior Round 1

Question 17

Replace all the 9 variables in the expression $a+\frac cb+d+\frac fe+g+\frac ih$ using the digits 1, 2, 3, … 9, where each digit is only used once. Find the maximum possible value of the result.
  1. 25
  2. $31\frac23$
  3. $33\frac23$
  4. $33\frac56$
  5. $34\frac16$