A very nice Fraction question that can be solved very easily using logic.

If Any fraction is smaller than 1 and if we add same constant to both the Numerator & Denominator, then ratio increases in value towards 13/4 = .75

(3+1)/(4+1)=.80 (increased in Value)

(3+3)/(4+3)=.85 (increased in Value)

If Any fraction is Greater than 1 and if we add same constant to both the Numerator & Denominator, then ratio decreases in value towards 15/4 = 1.25

(5+1)/(4+1)=1.20 (decreased in Value)

(5+3)/(4+3)=1.14 (decreased in Value)

Which of the following fractions is the largest?

(A)

\frac{3252}{3257}(B)

\frac{3456}{3461} =

\frac{3252+4}{3257+4} - Increases in Value- higher than option A

(C)

\frac{3591}{3596} =

\frac{3256+35}{3261+35} - Increases in Value- higher than option B

(D)

\frac{3346}{3351} =

\frac{3252-6}{3257-6} - Decreases in Value- Lower than option A

(E)

\frac{3453}{3458} =

\frac{3252+1}{3257+1} - Increases in Value- higher than option A

Hope this property will help many.

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