Prove that (5 : 6) > (3 : 4).

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Solution

We can write:
$(5 : 6) = \frac{5}{6} and (3 : 4) = \frac{3}{4}$
By making their denominators same: (Taking the L.C.M. of 6 and 4, which is 24.)
Consider, 5:6
5 × 4 = 20
6 × 4 24

And, 3 × 6 = 18
4 × 6 24
As 20 > 18
Clearly, (5:6) > (3:4)

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