Mathematics
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OpenStudy (anonymous):
simplify complex fraction( x/(x+2))/(1/x)+(1/x+2)
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OpenStudy (anonymous):
Which one is the in the numerator?
OpenStudy (anonymous):
Is it x/(x+2)?
OpenStudy (anonymous):
num is x/x+2
OpenStudy (anonymous):
This is how you do it
OpenStudy (anonymous):
X/x+2 is the numerator it stays the same
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OpenStudy (anonymous):
Then we move to the denominator
OpenStudy (anonymous):
It becomes (x+2) + x all of it divided by x(x+2)
OpenStudy (anonymous):
The numerator stays the same till now
OpenStudy (anonymous):
The denom becomes 2x+2/x^2+2x
OpenStudy (anonymous):
Are you with me?
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OpenStudy (anonymous):
what is the first step that you do with den?
OpenStudy (anonymous):
You find the common factor which is x(x+2)
OpenStudy (anonymous):
I see that dem becomes x(x+2) but what do you do with that?
OpenStudy (anonymous):
Well lets start with the first fraction in the denom
OpenStudy (anonymous):
Then you'll have to divide the common factor which is x(x+2) by x and the answer is (x+2) then you multiply it by 1 which stays the same
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OpenStudy (anonymous):
You do the same thing with the second fraction
OpenStudy (anonymous):
Are you getting it?
OpenStudy (anonymous):
looking at it
OpenStudy (anonymous):
then divide x(x+2) by (x+2)=x times 1=X?
OpenStudy (anonymous):
1/2 + 1/4 = ? Do you know how to do it? If you do it's exactly the same way to solve the other question
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OpenStudy (anonymous):
2/4+1/4
OpenStudy (anonymous):
x/x+2 +x/x+2?
OpenStudy (anonymous):
So you'll get 3/4
OpenStudy (anonymous):
What is your LCM ?
OpenStudy (anonymous):
x+2
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OpenStudy (anonymous):
It is x(x+2)
OpenStudy (anonymous):
Because your multiplying both
OpenStudy (anonymous):
In the first example if you multiplied 2 with 4 you would get 8
OpenStudy (anonymous):
And you'll still get the same answer 3/4
OpenStudy (anonymous):
ok got it thanks
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OpenStudy (anonymous):
Did you really get it?
OpenStudy (anonymous):
The final answer should be x^2/2x+2