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Miscellaneous·2019·Easy

If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

If the numerator and denominator of a proper fraction are increased by the same positive quantity which is greater than zero, the resulting fraction is

Options

  1. a.

    always less than the original fraction

  2. b.

    always greater than the original fraction

  3. c.

    always equal to the original fraction

  4. d.

    such that nothing can be claimed definitely

    Correct answer

Explanation

Answer is (d). We can apply the fundamental property of ratios: when the numerator is less than the denominator, adding the same positive quantity to both the numerator and denominator results in a fraction greater than the original one. a/b<(a+x)/(b+x) . But in above case we do not whether the fraction is positive or negative. If it is positive, then the answer will be different from when it will be negative. Hence we can't say anything.

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