Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)

MATHEMATICS
WAEC 1993

Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)

  • A. 7/30
  • B. 7/24
  • C. 9/25
  • D. 1/2

Correct Answer: D. 1/2

Explanation

\(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)

\(\frac{3}{4} \div \frac{5}{4} \times (\frac{9 - 4}{6})\)

= \(\frac{3}{4} \times \frac{4}{5} \times \frac{5}{6}\)

= \(\frac{1}{2}\)



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