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    In a fraction, the numerator is increased by 40% and the denominator is diminished by 20%. What fraction of the original is the new fraction?
    Question

    In a fraction, the numerator is increased by 40% and the denominator is diminished by 20%. What fraction of the original is the new fraction?

    A.

    4/7

    B.

    2/5

    C.

    3/4

    D.

    7/4

    Correct option is D

    Given:

    Numerator increased by 40%

    Denominator decreased by 20%

    Solution:

    1.4N0.8DND=1.40.8 1.40.8=74\frac{\frac{1.4N}{0.8D}}{\frac{N}{D}} = \frac{1.4}{0.8} \\ \ \\\frac{1.4}{0.8} =\frac{7}{4}​​

    So, the new fraction is 74\frac{7}{4}​ of the original

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