Question
Which ratio is greater:
(3 : 5) or (8 : 13)
(3 : 5) or (8 : 13)
✓
Answer
$(3:5)$ or $(8 : 13)$
$\Rightarrow\frac{3}{5}$ or $\frac{8}{13}$
LCM of 5, 13 = 65
$\therefore\frac{3}{5}=\frac{3\times13}{5\times13}=\frac{39}{65}$
$\frac{8}{13}=\frac{8\times5}{13\times5}=\frac{40}{65}$
It is clear that $\frac{40}{65}$ is greater
$\therefore\frac{40}{65}>\frac{39}{65}$ or $\frac{8}{13}>\frac{3}{5}$
Or $(8 : 13)>(3:5)$
$\Rightarrow\frac{3}{5}$ or $\frac{8}{13}$
LCM of 5, 13 = 65
$\therefore\frac{3}{5}=\frac{3\times13}{5\times13}=\frac{39}{65}$
$\frac{8}{13}=\frac{8\times5}{13\times5}=\frac{40}{65}$
It is clear that $\frac{40}{65}$ is greater
$\therefore\frac{40}{65}>\frac{39}{65}$ or $\frac{8}{13}>\frac{3}{5}$
Or $(8 : 13)>(3:5)$
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