Question
Which ratio is greater:
(2 : 3) or (4 : 7)
(2 : 3) or (4 : 7)
✓
Answer
2 : 3 or 4 : 7
$\Rightarrow\frac{2}{3}$ or $\frac{4}{7}$
LCM of 3, 7 = 21
$\therefore\frac{2}{3}=\frac{2\times7}{3\times7}=\frac{14}{21}$
$\frac{4}{7}=\frac{4\times3}{7\times3}=\frac{12}{21}$
It is clear that $\frac{14}{21}$ is greater
$\therefore\frac{2}{3}>\frac{4}{7}$ or $(2 : 3)>(4 : 7)$
$\Rightarrow\frac{2}{3}$ or $\frac{4}{7}$
LCM of 3, 7 = 21
$\therefore\frac{2}{3}=\frac{2\times7}{3\times7}=\frac{14}{21}$
$\frac{4}{7}=\frac{4\times3}{7\times3}=\frac{12}{21}$
It is clear that $\frac{14}{21}$ is greater
$\therefore\frac{2}{3}>\frac{4}{7}$ or $(2 : 3)>(4 : 7)$
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