BECE Mathematics 2014 Paper

Concept:Convert all fractions to equivalent fractions with a common denominator, then compare numerators.Explanation:Find the L.C.M. of the denominators $5$, $12$, and $4$.L.C.M. of $5, 12, 4$ is $60$.Convert each fraction to an equivalent fraction with denominator $60$.$\frac{2}{5} = \frac{2 \times 12}{5 \times 12} = \frac{24}{60}$$\frac{5}{12} = \frac{5 \times 5}{12 \times 5} = \frac{25}{60}$$\frac{3}{4} = \frac{3 \times 15}{4 \times 15} = \frac{45}{60}$Now, compare the numerators: $24 < 25 < 45$.So, ascending order of the fractions is $\frac{24}{60}, \frac{25}{60}, \frac{45}{60}$.Writing them back in original form gives $\frac{2}{5}, \frac{5}{12}, \frac{3}{4}$.Answer:B. $\frac{2}{5}, \frac{5}{12}, \frac{3}{4}$