the numerator of a fraction is 5 less than its denominator. if 1 is added to the numerator and to the denominator, the new fraction is 2/3. find the fraction.
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Step-by-step explanation:
If the numerator of the fraction is x, the denominator will be (x+5) and the fraction will be x/(x+5)
From the second part of the problem we can write (x+1)/(x+5+1) = 2/3
or (x+1)/(x+6) = 2/3
3(x+1) = 2(x+6)
3x + 3 = 2x +12
x = 12 - 3 = 9
So the fraction is 9/(9+5) = 9/14
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