Thread: Help simplifying a complex fraction

Hello,
I just started my first math class in college and its been about a year and a half since my last class in math,so Im a little rusty.
This is a function that I need to simplify to continue working the problem. I know what to do with it once its simplified I just cant remember how to do that. Here is the fraction: 2(x+3/x-2)+3 / (x+3/x-2)-1. Please explain to me how to get this fraction less complex. Thanks in advance

Is that what it looks like?

Yes

Find common denominator






Cancel out the x - 2 and get



You should be able to finish up from here

This method is longer than 11rdc11's post but it's always nice to have alternative methods:



Just substitute u back into the expression and tidy it up.