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
Explanation
\(\frac{5}{8} - \frac{3}{4} ÷ \frac{5}{12} x \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{3}{4} ÷ \frac{5}{12}) \times \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{3}{4} \times \frac{12}{5}) \times \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{9}{5} \times \frac{1}{4})\)
⇒ \(\frac{5}{8} - \frac{9}{20}\)
∴ \(\frac{7}{40}\)
