Evaluate frac 5 8 - frac 3 4 frac 5 12 x frac 1... - JAMB Mathematics 2023 Question

To evaluate the expression \(\frac{5}{8} - \frac{3}{4} ÷ \frac{5}{12} \times \frac{1}{4}\), follow the order of operations (PEMDAS/BODMAS):

1. Perform the division: \(\frac{3}{4} ÷ \frac{5}{12}\)
2. Multiply the result by \(\frac{1}{4}\)
3. Subtract the product from \(\frac{5}{8}\)

Let's proceed with the calculations:

1. \(\frac{3}{4} ÷ \frac{5}{12} = \frac{3}{4} \times \frac{12}{5} = \frac{9}{5}\)
2. Multiply the result by \(\frac{1}{4}\): \(\frac{9}{5} \times \frac{1}{4} = \frac{9}{20}\)
3. Subtract the product from \(\frac{5}{8}\): \(\frac{5}{8} - \frac{9}{20} = \frac{25}{40} - \frac{9}{20} = \frac{16}{40} = \frac{2}{5}\)

Therefore, the correct option is \(\frac{1}{4}\)