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WAEC Mathematics 2015 Theory — Question 1

Question 1 of 22 from the West African Examinations Council (WAEC) Mathematics 2015 Theory paper, with the correct answer and a full explanation.

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1(a). Without using Mathematical tables or calculators, simplify: 3(4/9) ÷ (5(1/3)−2(3/4)) + 5(9/10)

Model answer

3⁴⁄₉ ÷ (16⁄₃−11⁄₄) + 59⁄₁₀ = 31⁄₉ ÷ [(64−33)/12] + 59⁄₁₀ = 31⁄₉ ÷ 31⁄₁₂ + 59⁄₁₀ = (31⁄₉ × 12⁄₃₁) + 59⁄₁₀ = 4⁄₃ + 59⁄₁₀ = 40⁄₃₀+177⁄₃₀ = 217⁄₃₀ = 7(7/30).

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