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CTET PAPER II 2021 · PYQ · Fractions / Comparison · medium

Let a = 11/13, b = 13/14 and c = 15/17 be three fractions. Which of the following is true?

  1. A.13/14 < 11/13 < 15/17
  2. B.15/17 < 13/14 < 11/13
  3. C.11/13 < 15/17 < 13/14✓ Correct
  4. D.11/13 < 13/14 < 15/17

Explanation

Convert to decimals: 11/13 ≈ 0.846, 13/14 ≈ 0.929, 15/17 ≈ 0.882. Ordering: 0.846 < 0.882 < 0.929, so 11/13 < 15/17 < 13/14. Hence option (3) is correct.
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