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If x is a positive number, then which of the following fractions has the greatest value ?

1 $\frac{x}{x}$ $\frac{x}{x}$
2 $\frac{x}{x + 1}$ $\frac{x}{{x + 1}}$
3 $\frac{x + 1}{x}$ $\frac{{x + 1}}{x}$
4 $\frac{x + 2}{x + 3}$ $\frac{{x + 2}}{{x + 3}}$

Answer:- 1

Explanation:-

Solution:

Clearly, ^(x+1)/_x is the only fraction in which the numerator is greater then the denominator. So, it is greatest fraction.

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