The denominator of a fraction is 7 more than the numerator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the resulting fraction is 2/3. What is the original fraction?
A. 4/11
B.3/10
C.5/12
D.2/9
2007-06-13 14:37:29 · 8 answers · asked by smile 1 in Science & Mathematics ➔ Mathematics
original fraction: x/(x+7)
(x+2)/[(x+7)-2)]=2/3
3x+6=2x+14-4
x=4
Original fraction 4/11... A
2007-06-13 14:41:54 · answer #1 · answered by amsga 2 · 0⤊ 0⤋
The answer is A. 4 + 2 = 6 ,11-2=9, so that makes the fraction 6/9, which = 2/3.
2007-06-13 21:52:04 · answer #2 · answered by 1 2 · 0⤊ 0⤋
A. 4/11
2007-06-13 21:45:13 · answer #3 · answered by Anonymous · 0⤊ 0⤋
x/x+7 is fraction
x+2 / x+5 = 2/3 cross mult
2(x+5) = 3(x+2)
2x + 10 = 3x + 6
x = 4
x/x+7 = 4/11 A
2007-06-13 21:40:53 · answer #4 · answered by richardwptljc 6 · 0⤊ 0⤋
(x+2)/[(x+7)-2] = 2/3
(x+2)/(x+5) = 2/3
3(x+2)=2(x+5)
3x+6 = 2x+10
x=4
Numerator: 4 Denominator: 11
(4+2)/(11-2) = 6/9 = 2/3
ANSWER: A. 4/11
2007-06-13 21:45:09 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Don't think of it as a fraction. Think of it as two numbers.
y = denominator
x = numerator
y = x + 7
(x + 2)/(y - 2) = 2/3
3(x + 2) = 2(y - 2)
3x + 6 = 2y - 4
3x - 2y = -10
3x - 2(x + 7) = -10
3x - 2x - 14 = -10
x - 14 = -10
x = 4
y = 4 + 7 = 11
2007-06-13 21:47:22 · answer #6 · answered by TychaBrahe 7 · 0⤊ 0⤋
solution:
(x+2)/(x+5)=2/3
3x+6=2x+10
x=4
answer: 4/11
2007-06-13 21:42:00 · answer #7 · answered by Mr. Engr. 3 · 0⤊ 0⤋
a
2007-06-13 21:40:57 · answer #8 · answered by harvniu 1 · 0⤊ 0⤋