algebra

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The numerator of a fraction is 7 less than the denominator if three is added to the numerator and 9 is subtracted from the denominator the new fraction is equal to 3/2. Find the original fraction.

  • algebra -

    if the numerator is x, the original fraction is

    x/(x+7)
    after modification,
    (x+3)/(x-2) = 3/2
    2(x+3) = 3(x-2)
    2x+6 = 3x-6
    x = 12

    original fraction: 12/19
    modified fraction: 15/10 = 3/2

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