anonymous
  • anonymous
Can someone help me with a homework problem? Simplifying complex fractions with variables. I want to learn HOW to do it, not just get the answer- I have a test tomorrow.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
I can try!
anonymous
  • anonymous
\[\frac{ \frac{ x }{ x+2 } }{ \frac{ 1 }{ x }+\frac{ 1 }{ x+2}}\]
anonymous
  • anonymous
I have no idea how to even begin :P

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anonymous
  • anonymous
It is kind hard to see :D
anonymous
  • anonymous
*kinda
anonymous
  • anonymous
The equation you mean?
anonymous
  • anonymous
Yea
anonymous
  • anonymous
|dw:1432742093933:dw|
anonymous
  • anonymous
Lol
anonymous
  • anonymous
Is that better?messier?
anonymous
  • anonymous
First try simplifying the denominator part
anonymous
  • anonymous
Do I add them together?
anonymous
  • anonymous
So \[\frac{ 2 }{ 2x+2 }\] ?
anonymous
  • anonymous
No, fractions can't be added like that
anonymous
  • anonymous
Oh wait, LCD?
anonymous
  • anonymous
yes
anonymous
  • anonymous
What's LCD?
anonymous
  • anonymous
Would the LCD be x^2 + 2x?
anonymous
  • anonymous
What does LCD stand for?
anonymous
  • anonymous
Least common denominator?
anonymous
  • anonymous
Fine
anonymous
  • anonymous
So what do you get in the denominator after adding?
anonymous
  • anonymous
Wait with fractions the denominator doesn't change, yeah? So the denominator would still be x^2 + 2x?
anonymous
  • anonymous
Or am I confusing myself?
anonymous
  • anonymous
I meant denominator of the whole expression that is given|dw:1432742605895:dw|
anonymous
  • anonymous
Ohhh
anonymous
  • anonymous
What would it's value be?
anonymous
  • anonymous
|dw:1432742696142:dw| is after the LCD
anonymous
  • anonymous
So|dw:1432742755723:dw| ?
anonymous
  • anonymous
Absolutely right
anonymous
  • anonymous
Do I simplify that at all?
anonymous
  • anonymous
Divide the numerator with that value
anonymous
  • anonymous
Kay, one sec..
anonymous
  • anonymous
And keeping x(x+2) as x(x+2) rather than multiplying would do you a little good
anonymous
  • anonymous
Oh yeah thanks
anonymous
  • anonymous
So, got the final answer?
anonymous
  • anonymous
Not yet. I'm really slow with this stuff
anonymous
  • anonymous
Take your time
anonymous
  • anonymous
I don't know if I did this right but I got\[\frac{ x^2(x + 2) }{ 2x^2 + 6x + 4 }\]
anonymous
  • anonymous
@abdul_shabeer Is that wrong?
anonymous
  • anonymous
It's not wrong, but you can still simlify it
anonymous
  • anonymous
Factorise the denominator
anonymous
  • anonymous
Oh okay
anonymous
  • anonymous
\[\frac{ x^2 }{ 2x + 2 }\] ?
anonymous
  • anonymous
Right
anonymous
  • anonymous
Awesome! Thank you! I think I get this now. :)
anonymous
  • anonymous
You're welcome, and All The Best for your exam tomorrow
anonymous
  • anonymous
Thanks :)

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