Asked by Lynn

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.
Answered by Writeacher
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Answered by Steve
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