UI Post-UTME Mathematics 2013 Question 5

Question 5

Fractions, Decimals and Approximation

Simplify 2¼/(4 ÷ ⅛ of 2⅔ × 3)

  1. A.1/16
  2. B.9/16
  3. C.3/16
  4. D.9/32
Show the answer and explanation

Answer: A (1/16)

Explanation

Work the bottom first: ⅛ of 2⅔ = ⅛ × 8/3 = ⅓. Then 4 ÷ ⅓ = 12 and 12 × 3 = 36. So 2¼ ÷ 36 = 9/4 × 1/36 = 1/16.