JAMB Mathematics 2023 Paper

Concept:Use the order of operations: division and multiplication before subtraction, working from left to right.Explanation:Rewrite the expression by grouping the division and multiplication together:$$\frac{5}{8} - \left(\frac{3}{4} \div \frac{5}{12}\right) \times \frac{1}{4}$$Change division to multiplication by the reciprocal:$$\frac{5}{8} - \left(\frac{3}{4} \times \frac{12}{5}\right) \times \frac{1}{4}$$Simplify inside the bracket:$$\frac{3}{4} \times \frac{12}{5} = \frac{9}{5}$$Now multiply by $\frac{1}{4}$:$$\frac{9}{5} \times \frac{1}{4} = \frac{9}{20}$$Subtract from $\frac{5}{8}$ using the common denominator $40$:$$\frac{5}{8} - \frac{9}{20} = \frac{25}{40} - \frac{18}{40} = \frac{7}{40}$$Answer:$$\frac{7}{40}$$This is Option C.