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14 May, 10:38

If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. Determine the original fraction. Which of the following equations represents "If the numerator of a fraction is increased by 3, the fraction becomes 3/4"?

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  1. 14 May, 11:51
    0
    For this case, the original fraction is:

    x / y

    Where,

    x = numerator

    y = denominator:

    If the numerator of a fraction is increased by 3, the fraction becomes 3/4:

    (x + 3) / y = 3/4

    If the denominator is decreased by 7, the fraction becomes 1:

    x / (y-7) = 1

    Solving the system of equations we have:

    x = 9

    y = 16

    The original fraction is:

    9/16

    Answer:

    the original fraction is:

    9/16

    "If the numerator of a fraction is increased by 3, the fraction becomes 3/4" is:

    (x + 3) / y = 3/4
  2. 14 May, 11:59
    0
    Let n = numerator

    d = denominator

    n+3/d = 3/4

    n / (d-7) = 1

    Which of the following equations represents "If the numerator of a fraction is increased by 3, the fraction becomes 3/4"?

    The equation is (n+3) / d = 3/4
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