SOLUTION: The denominator of a fraction is 6 more than the numerator . If one is added to numerator and 3 is subtracted from the denominator , it becomes 3/4. Find the fraction.
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Question 754131: The denominator of a fraction is 6 more than the numerator . If one is added to numerator and 3 is subtracted from the denominator , it becomes 3/4. Find the fraction.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The denominator of a fraction is 6 more than the numerator . If one is added to numerator and 3 is subtracted from the denominator , it becomes 3/4. Find the fraction.
.
Let n = numerator
then
n+6 = denominator
.
(n+1)/(n+6-3) = 3/4
(n+1)/(n+3) = 3/4
cross-multiply:
4(n+1) = 3(n+3)
4n+4 = 3n+9
n+4 = 9
n = 5 (numerator)
.
denominator:
5+6 = 5+6 = 11
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