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, $(5:6)>(3:4)$
$(5:6)=\frac{5}6{}\text{ and }(3 : 4)=\frac{3}{4}$
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, $(5:6)>(3:4)$
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