Question

Which one of the following is greater? [2 MARKS]

a) $\frac{3}{7}$ and $\frac{3}{5}$

b) $\frac{5}{8}$ and $\frac{1}{2}$

Answer 1

Each part: 1 Mark

(a) LCM of 7 and 5 is 35

$\frac{3}{7}=\frac{3\times 5}{7\times 5}=\frac{15}{35}$

$\frac{3}{5}=\frac{3\times 7}{5\times 7}=\frac{21}{35}$

Clearly, $\frac{21}{35}$ is greater than $\frac{15}{35}$

Hence, $\frac{3}{5}$ is greater than $\frac{3}{7}$


(b) LCM of 8 and 2 is 8

$\frac{5}{8}=\frac{5\times 1}{8\times 1}=\frac{5}{8}$

$\frac{1}{2}=\frac{1\times 4}{2\times 4}=\frac{4}{8}$

Clearly, $\frac{5}{8}$ is greater than $\frac{4}{8}$

Hence, $\frac{5}{8}$ is greater than $\frac{1}{2}$