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JAMB Mathematics 1985 Question 6

Question 6

Fractions, Decimals and Approximation

Simplify ½ + 1/(2 + 1/(2 − 1/(4 + 1/5)))

  1. A.−3/4
  2. B.−1/3
  3. C.169/190
  4. D.13/15
  5. E.121/169
Show the answer and explanation

Answer: C (169/190)

Explanation

Work from the bottom: 4 + 1/5 = 21/5, 2 − 5/21 = 37/21, 2 + 21/37 = 95/37, and ½ + 37/95 = (95 + 74)/190 = 169/190.