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St.george high school

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The numerator of a fraction is 8 less than the denominator.when 6 is added to the numerator and 10 is added to the denominator,the value of the fraction is unchanged.find the original fraction.

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  • St.george high school -

    d-8/d = d-2/d+10
    (d-8)(d+10) = d(d-2)
    d^2 + 2d - 80 = d^2 - 2d
    4d = 80
    d = 20

    check:

    12/20 = 18/30

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