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The value of 1/(1 + 1/(1 + 1/(1 + 1))) is:

Competition practiceNumber & Arithmetic
  • A5/3
  • B2/3
  • C3/5
  • D8/5

Step-by-Step Solution

Start at the deepest bracket: 1 + 1 = 2. Then 1 + 1/2 = 3/2, and 1 + 1/(3/2) = 1 + 2/3 = 5/3. The whole expression is the reciprocal of that, namely 3/5. Missing the final reciprocal leaves 5/3.
Answer: C) 3/5

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