- A58/29
- B29/9
- C20/9
- D67/29
Step-by-Step Solution
Unwind from the innermost bracket. 4 + 1/2 = 9/2, so its reciprocal is 2/9. Then 3 + 2/9 = 29/9, whose reciprocal is 9/29. Finally 2 + 9/29 = (58 + 9)/29 = 67/29 ≈ 2.31.
Answer: D) 67/29
Write the continued fraction 2 + 1/(3 + 1/(4 + 1/2)) as a single fraction.
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