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Australian AMC 2009 - Senior Question 7

AMC AUSTRALIA · Australian AMC 2009 - Senior

Question 7

If $a*b=a+\frac1b$ for every pair $a,b$ of positive numbers, the value of $1*(2*3)$ is
  1. $\frac{10}3$
  2. $\frac{10}7$
  3. $\frac{11}6$
  4. $\frac92$
  5. $\frac3{10}$