Simplify \(\left(\frac{3}{4} - \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}\)
MATHEMATICS
WAEC 2003
Simplify \(\left(\frac{3}{4} - \frac{1}{3}\right)\times 4\frac{1}{3}\div 3\frac{1}{4}\)
- A. \(\frac{5}{9}\)
- B. \(\frac{5}{16}\)
- C. \(\frac{8}{13}\)
- D. \(\frac{16}{5}\)
Correct Answer: A. \(\frac{5}{9}\)
Explanation
\((\frac{3}{4} - \frac{1}{3}) \times 4\frac{1}{3} \div 3\frac{1}{4}\)
= \((\frac{9 - 4}{12}) \times \frac{13}{3} \div \frac{13}{4}\)
= \(\frac{5}{12} \times \frac{13}{3} \times \frac{4}{13}\)
= \(\frac{5}{9}\)
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