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## anonymous one year ago how do i simplify (1-(x/(1+x)))/(1+(x/(1+x)))

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1. Empty

It's going to be sorta difficult, but the trick is to multiply by a clever form of the number 1, since multiplying by one doesn't change anything. Here's how it works, and you can use it anywhere: This is my own made up example, so I used n instead of x so I don't confuse you. $\frac{1}{1+\frac{1}{n}} =\frac{1}{(1+\frac{1}{n})} \frac{n}{n} = \frac{n}{n+1}$ It's sorta tricky so you might have to think about it for a bit and if you're stuck I can help you out.

2. anonymous

yes i understand the concept:D i'm just having trouble with this specific example the double division is throwing me off D:

3. Empty

try something out, the worst that could happen is that you accidentally get it right. Then I can see how to help you out, like what part's confusing.

4. anonymous

okay one second ill try and type it all out

5. Empty

if you want it might be easier to draw it out

6. anonymous

okay well i have like a page of trial and error ill just tell you what im doing wrong other wise itll take me forever D:

7. anonymous

okay so i isolated the numerator and the denominator and gave the numerator a common denominator of (1+(x/1+x))

8. anonymous

wait no thats stupid im multiplying i dont need a common denominator .... ugh half a bloody page of useless work

9. Empty

Hey well that's a good catch though! You probably won't make that mistake again on a test where it actually counts at least.

10. Empty

Just to be sure before I give you a hint, is this the question: $\Large \frac{1-\frac{x}{1+x}}{1+\frac{x}{1+x}}$ I just want to make sure that's what you're looking at cause there's a lot of stuff in there that can mess up haha.

11. UsukiDoll

complex fractions.

12. anonymous

you know what it'd be rather hectic explaining this through text or using that retched drawing tool, i think iv got it from here. Go help Some one else ill just use a calculator or something:)

13. Empty

Well alright haha I'll give you a hint anyways. Multiply by this form of 1 and distribute it out: $\frac{1+x}{1+x}$ good luck

14. anonymous

thanks !

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