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.

- anonymous

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- anonymous

I can try!

- anonymous

\[\frac{ \frac{ x }{ x+2 } }{ \frac{ 1 }{ x }+\frac{ 1 }{ x+2}}\]

- anonymous

I have no idea how to even begin :P

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## More answers

- anonymous

It is kind hard to see :D

- anonymous

*kinda

- anonymous

The equation you mean?

- anonymous

Yea

- anonymous

|dw:1432742093933:dw|

- anonymous

Lol

- anonymous

Is that better?messier?

- anonymous

First try simplifying the denominator part

- anonymous

Do I add them together?

- anonymous

So \[\frac{ 2 }{ 2x+2 }\] ?

- anonymous

No, fractions can't be added like that

- anonymous

Oh wait, LCD?

- anonymous

yes

- anonymous

What's LCD?

- anonymous

Would the LCD be x^2 + 2x?

- anonymous

What does LCD stand for?

- anonymous

Least common denominator?

- anonymous

Fine

- anonymous

So what do you get in the denominator after adding?

- anonymous

Wait with fractions the denominator doesn't change, yeah? So the denominator would still be x^2 + 2x?

- anonymous

Or am I confusing myself?

- anonymous

I meant denominator of the whole expression that is given|dw:1432742605895:dw|

- anonymous

Ohhh

- anonymous

What would it's value be?

- anonymous

|dw:1432742696142:dw| is after the LCD

- anonymous

So|dw:1432742755723:dw| ?

- anonymous

Absolutely right

- anonymous

Do I simplify that at all?

- anonymous

Divide the numerator with that value

- anonymous

Kay, one sec..

- anonymous

And keeping x(x+2) as x(x+2) rather than multiplying would do you a little good

- anonymous

Oh yeah thanks

- anonymous

So, got the final answer?

- anonymous

Not yet. I'm really slow with this stuff

- anonymous

Take your time

- anonymous

I don't know if I did this right but I got\[\frac{ x^2(x + 2) }{ 2x^2 + 6x + 4 }\]

- anonymous

@abdul_shabeer Is that wrong?

- anonymous

It's not wrong, but you can still simlify it

- anonymous

Factorise the denominator

- anonymous

Oh okay

- anonymous

\[\frac{ x^2 }{ 2x + 2 }\] ?

- anonymous

Right

- anonymous

Awesome! Thank you! I think I get this now. :)

- anonymous

You're welcome, and All The Best for your exam tomorrow

- anonymous

Thanks :)

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