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
-\(\frac{263}{40}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{5}{8} - \frac{3}{4} \div \frac{5}{12} x \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{3}{4} \div \frac{5}{12}) \times \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{3}{4} \times \frac{12}{5}) \times \frac{1}{4}\)
⇒ \(\frac{5}{8} - (\frac{9}{5} \times \frac{1}{4})\)
⇒ \(\frac{5}{8} - \frac{9}{20}\)
∴ \(\frac{7}{40}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #67382)