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OAU Post-UTME Mathematics 2011 Question 11

Question 11

Fractions, Decimals and Approximation

The reciprocal of (3/4)/(1/4 + 1/3) is

  1. A.1 2/7
  2. B.7/9
  3. C.−1 2/7
  4. D.−7/9
Show the answer and explanation

Answer: B (7/9)

Explanation

1/4 + 1/3 = 7/12, so the fraction is 3/4 ÷ 7/12 = 9/7. Its reciprocal is 7/9.