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    What number must be subtracted from both the numerator and denominator of the fraction 1519\frac{15}{19}1915​​ so as to make it 34\frac{3}{4
    Question

    What number must be subtracted from both the numerator and denominator of the fraction 1519\frac{15}{19}​ so as to make it 34\frac{3}{4} ?

    A.

    5

    B.

    9

    C.

    6

    D.

    3

    Correct option is D

    Given:

    Original fraction =1519 \frac{15}{19}​​
    Required fraction after subtraction =34 \frac{3}{4}​​

    Solution:
    Let the number to be subtracted from both numerator and denominator be x.

    15x19x=34\frac{15 - x}{19 - x} = \frac{3}{4}

    60 - 4x = 57 - 3x

    60 - 57 = 4x - 3x

    3 = x

    Required number = 3

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