SOLUTION: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one i
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-> SOLUTION: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one i
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Question 205931: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 3. Find the original fraction. Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! X/(X-4)+(X+6)/2(X-4)=3
(2X+X+6)/2(X-4)=3
(3X+6)/(2X-8)=3
3(2X-8)=3X+6
6X-24=3X+6
6X-3X=6+24
3X=30
X=30/3
X=10 ANS. FOR THE ORIGINAL NUMERATOR.
(10-4)=6 IS THE ORIGINAL DENOMINATOR.
PROOF:
10/6+16/2*6=3
10/6+16/12=3
20/12+16/12=3
36/12=3
3=3
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