Question
Which ratio is greater: $(5 : 6)$ or $(7 : 9)$
✓
Answer
$(5 : 6)$ or $(7 : 9)$
$\Rightarrow\frac{5}{6}\text{ or }\frac{7}{9}$
$LCM $of $6, 9 = 18$
$\therefore\frac{5}{6}=\frac{5\times3}{6\times3}=\frac{15}{18}$
$\frac{7}{9}=\frac{7\times2}{9\times2}=\frac{14}{18}$
It is clear that $\frac{15}{18}$ or $15 : 18$ is greater
$\therefore(5 : 6)>(7 : 9)$
$\Rightarrow\frac{5}{6}\text{ or }\frac{7}{9}$
$LCM $of $6, 9 = 18$
$\therefore\frac{5}{6}=\frac{5\times3}{6\times3}=\frac{15}{18}$
$\frac{7}{9}=\frac{7\times2}{9\times2}=\frac{14}{18}$
It is clear that $\frac{15}{18}$ or $15 : 18$ is greater
$\therefore(5 : 6)>(7 : 9)$
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