BECE Mathematics 2015 Paper

Concept:Convert the given fractions into equivalent fractions with a common denominator so that the numerators can be compared directly.Explanation:The denominators are $8$, $20$, and $10$.The L.C.M. of $8$, $20$, and $10$ is $40$.Convert each fraction to an equivalent fraction with denominator $40$.$\frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40}$$\frac{11}{20} = \frac{11 \times 2}{20 \times 2} = \frac{22}{40}$$\frac{7}{10} = \frac{7 \times 4}{10 \times 4} = \frac{28}{40}$Now the denominators are equal, so compare the numerators.Ascending order means from smallest to largest.The numerators in ascending order are $22$, $25$, $28$.Thus, the fractions in ascending order are:$\frac{22}{40}, \frac{25}{40}, \frac{28}{40}$Replace them by their original fractions:$\frac{11}{20}, \frac{5}{8}, \frac{7}{10}$Answer:$\frac{11}{20}, \frac{5}{8}, \frac{7}{10}$That is option C.