Question
Which ratio is greater:
(5 : 6) or (7 : 9)
(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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