1. ## Simplifying fractions

8/(9x-9) + 9(9-9x)

Could someone walk me through how to get the answer to this question?

I get as far as

8/(9x-9) + 1/(1-x)

I know the answer is 1/(9-9x) but I dont know how to get there from the above?

Thanks.

2. ## Re: Simplifying fractions

Originally Posted by winner9909
8/(9x-9) + 9(9-9x)
I assume the fraction is missing in that last term, but you mean:

$\frac{8}{9x-9}+\frac{9}{9-9x}$

Notice that the denominators are almost equal, but you can (for example) make them equal by rewriting the second term:

$\frac{9}{9-9x} = \frac{9}{-(-9+9x)} = -\frac{9}{9x-9}$

Now you can also easily add (substract) both fractions.