Evaluate \(\frac{5}{8} - \frac{3}{4} ÷ \frac{5}{12} \times \frac{1}{4}\)
MATHEMATICS
JAMB 2023
Evaluate \(\frac{5}{8} - \frac{3}{4} ÷ \frac{5}{12} \times \frac{1}{4}\)
- A. - \(\frac{3}{40}\)
- B. \(\frac{3}{40}\)
- C. \(\frac{7}{40}\)
- D. -\(\frac{263}{40}\)
Correct Answer: C. \(\frac{7}{40}\)
Explanation
\(\frac{5}{8} - \frac{3}{4} ÷ \frac{5}{12} x \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{3}{4} ÷ \frac{5}{12}) \times \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{3}{4} \times \frac{12}{5}) \times \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{9}{5} \times \frac{1}{4})\)
⇒ \(\frac{5}{8} - \frac{9}{20}\)
∴ \(\frac{7}{40}\)
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