the numerator of a fraction is 3 more than it's denominator. If 3 is subtracted from numerator and 2 is added to the denominator, a new fraction is formed whose value is 3/4 . Find the original fraction.
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(3x+3)/(2x-2) = 9/4, or
12x+12 = 18x-18, or
18x-12x = 18+12 = 30
6x = 30, or
x = 5.
The fraction is 15/10.
Check (15+3)/(10–2) = 18/8 = 9/4. Correct.
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