2007-05-05 04:50:36 · 8 answers · asked by JN N 1 in Science & Mathematics ➔ Mathematics
[(x+2)/x ] / [(x-2)/3x]
MULTIPLY numerator and denominator by [x/x+2],
Numerator is [(x+2)/x ]
MULTIPLY numerator by [x/x+2],we have,
[(x+2)/x ]*[x/x+2]
=1
Denominator is (x-2)/3x
MULTIPLY denominator by [x/x+2],we have,
[(x-2)/3x]* [x/x+2]
=1/3.
Now,
numerator/denominator
=1/[1/3]
=1*3/1
=3
2007-05-05 05:11:47 · answer #1 · answered by Anonymous · 3⤊ 0⤋
(x+2)/x divided by (x-2)/3x
[(x+2) / x] / [(x-2) / 3x] = [(x+2)/ x][3x / (x-2)]
=[(x+2) / (x-2)](3x / x)... some applications of associative and commutative properties of multiplication.
= 3(x+2)/(x-2)... applications of associative and commutative properties again, along with the definition of multiplicative inverse (x)(1/x) =1, and the property of 1 (1)(3) = 3
I'd stop here... but you teacher might want you to multiply the numerator out... 3(x+2) = 3x + 6 giving you
(3x+6)/(x-2)
2007-05-05 05:11:35 · answer #2 · answered by gugliamo00 7 · 0⤊ 0⤋
(x+2)/x divide (x-2)/3x
= (x+2)/x * 3x/(x-2)
=(x+2) * 3/(x-2)
(x-2)=3(x+2)
x-2=3x+6
x-3x=6+2
-2x=8
x=-4
hope this is correct
2007-05-05 05:33:08 · answer #3 · answered by balitung 1 · 0⤊ 0⤋
(a/b) /(c/d)= ad/bc
we apply this here a=x+2 , b=x , c=(x-2) , d= 3x
(x+2) *3x / x *(x-2) you can simplify by x
so 3(x+2) / (x-2)
2007-05-05 04:56:33 · answer #4 · answered by maussy 7 · 0⤊ 0⤋
(x+2)/x times reciprocal (3x)/(x-2)= (3x+6)/(x-2)
2007-05-05 04:59:16 · answer #5 · answered by dwinbaycity 5 · 0⤊ 0⤋
[(x+2)/x] / [ (x-2)/3x] = (x+2)/x * 3x/ (x-2) = 3(x+2)/(x-2)
Ana
2007-05-05 04:55:09 · answer #6 · answered by MathTutor 6 · 0⤊ 0⤋
(3x+6)/(x-2)
2007-05-05 04:54:25 · answer #7 · answered by schoolgirl 2 · 0⤊ 0⤋
x=1 answer -3
2007-05-05 04:55:53 · answer #8 · answered by Adam T 1 · 0⤊ 0⤋