Which one of the following fractions will have <strong>MINIMUM</strong> change in its value if 3 is added to <strong>BOTH</strong> the numerator and the denominator of <strong>ALL</strong> the fractions?

Explanation

For a proper fraction \frac{x}{y}, adding 3 gives a difference of \frac{x+3}{y+3} - \frac{x}{y} = \frac{3(y-x)}{y(y+3)}. Since y-x=1 for all given options, the difference \frac{3}{y(y+3)} is minimized when the denominator y is maximized, which is for \frac{5}{6}.

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