Question
From the given pairs, find which ratio is larger: $(5 : 12)$ or $(17 : 30)$
✓
Answer
$(5 : 12)$ or $(17 : 30)$
$\frac{5}{12},\frac{17}{30}$
$LCM$ of $12$ and $30 = 60$
$\therefore\frac{5}{12}=\frac{5\times5}{12\times5}=\frac{25}{60}$
$\text{and }\frac{17}{30}=\frac{17\times2}{30\times2}=\frac{34}{60}$
We see that $\frac{34}{60}>\frac{25}{60}\text{or }\frac{17}{30}>\frac{5}{12}$
$\therefore17:30$ is greater ratio
$\frac{5}{12},\frac{17}{30}$
$LCM$ of $12$ and $30 = 60$
$\therefore\frac{5}{12}=\frac{5\times5}{12\times5}=\frac{25}{60}$
$\text{and }\frac{17}{30}=\frac{17\times2}{30\times2}=\frac{34}{60}$
We see that $\frac{34}{60}>\frac{25}{60}\text{or }\frac{17}{30}>\frac{5}{12}$
$\therefore17:30$ is greater ratio
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