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If x is a positive number, then which of the following fractions has the greatest value ?.
$\frac{x}{x}$
$\frac{x}{x + 1}$
$\frac{x + 1}{x}$
$\frac{x + 2}{x + 3}$

A

\frac{x}{x}

B

\frac{x + 1}{x}

C

\frac{x + 2}{x + 3}

D

\frac{x}{x + 1}

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