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WAEC Mathematics 2011 Question 31

Question 31

Algebraic Expressions

Simplify: m/n + (m − 1)/5n − (m − 2)/10n where n ≠ 0.

  1. A.(m − 3)/10n
  2. B.11m/10n
  3. C.(m + 1)/10n
  4. D.(11m + 4)/10n
Show the answer and explanation

Answer: B (11m/10n)

Explanation

Over 10n: [10m + 2(m − 1) − (m − 2)]/10n = (10m + 2m − 2 − m + 2)/10n = 11m/10n.