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Which fraction is the largest among 2/3, 3/4, 4/5, and 5/6?

  • A.2/3
  • B.3/4
  • C.4/5
  • D.5/6

Answer: D

Each fraction is one less than 1 by \( \tfrac{1}{n} \), so the largest denominator gives the largest fraction.

\[ \frac{2}{3} = 0.667, \quad \frac{3}{4} = 0.750, \quad \frac{4}{5} = 0.800, \quad \frac{5}{6} = 0.833 \]

So \( \tfrac{5}{6} \) is the largest. In general \( \tfrac{n}{n+1} \) increases with \( n \), approaching 1.

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