JAMB Mathematics 1985 Question 1

Question 1

Fractions, Decimals and Approximation

Arrange the following numbers in ascending order of magnitude 6/7, 13/15, 0.865

  1. A.6/7 < 0.865 < 13/15
  2. B.6/7 < 13/15 < 0.865
  3. C.13/15 < 6/7 < 0.865
  4. D.13/15 < 0.865 < 6/7
  5. E.0.865 < 6/7 < 13/15
Show the answer and explanation

Answer: A (6/7 < 0.865 < 13/15)

Explanation

6/7 ≈ 0.8571 and 13/15 ≈ 0.8667, so the order is 6/7 < 0.865 < 13/15.