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1968 AMC 12 Question 4

AMC12 · 1968 AMC 12

Question 4

Define an operation $*$ for positive real numbers by $a*b=\dfrac{ab}{a+b}.$ Then $4*(4*4)$ equals:
  1. $\dfrac34$
  2. $1$
  3. $\dfrac43$
  4. $2$
  5. $\dfrac{16}{3}$