Question
Prove that $(5 : 6) > (3 : 4).$
✓
Answer
We can write: $(5:6)=\frac{5}6{}\text{ and }(3 : 4)=\frac{3}{4}$
By making their denominators same: (Taking the $L.C.M$ of $6$ and $4,$ which is 24) Consider, $5 : 6$
$\frac{5\times4}{6\times4}=\frac{20}{24}$ And
$\frac{3\times6}{4\times6}=\frac{18}{24}$ As $20>18$
Clearly, $(5:6)>(3:4)$
By making their denominators same: (Taking the $L.C.M$ of $6$ and $4,$ which is 24) Consider, $5 : 6$
$\frac{5\times4}{6\times4}=\frac{20}{24}$ And
$\frac{3\times6}{4\times6}=\frac{18}{24}$ As $20>18$
Clearly, $(5:6)>(3:4)$
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