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Which Fraction Is Closest To 3/4 Is It 30/42 15/19 45/63 39/51 63/86?

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Oddman answered
If we multiply each by 4/3, we can look to see which is closest to 1. This step is not strictly necessary, but it is often easier to compare to 1 than to compare to 0.75.)
30/42*4/3 ≈ .95238    (differs from 1 by .04762)
15/19*4/3 ≈ 1.05263    (differs from 1 by .05263)
45/63*4/3 ≈ .95238    (this is an equivalent to the first fraction)
39/51*4/3 ≈ 1.01961    (differs from 1 by .01961)
63/86*4/3 ≈ .97674    (differs from 1 by .02326)

The closest value to 3/4 is 39/51 = 13/17

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