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WAEC 2017 Mathematics · Question 27

Evaluate 314×1351113−513\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}

Options

  1. A.1415\frac{14}{15}
  2. B.1315\frac{13}{15}
  3. C.45\frac{4}{5}
  4. D.1115\frac{11}{15}

Answer: B. 1315\frac{13}{15}

Explanation written with AI and checked against the answer key

Step 1: Analyze the question We need to evaluate a fraction with mixed numbers. The numerator is a product, and the denominator is a subtraction. Step 2: Convert and compute Numerator: 3¼ = 13/4 and 1⅗ = 8/5 (13/4) × (8/5) = 104/20 = 26/5 Denominator: 11⅓ − 5⅓ = 6 Step 3: Divide (26/5) ÷ 6 = 26/30 = 13/15 Answer: 13/15, which is option B. Tip: When the denominator has mixed numbers with the same fractional part (here both ⅓), subtract the whole numbers directly: 11 − 5 = 6. Also, simplify early, since 8/4 = 2 gives (13 × 2)/5 = 26/5 faster.

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