simplification

• April 1st 2011, 08:10 PM
hansfordmc
simplification
simplify: 1/3 - (x-2)/3

(1-2)/3 - x
-(1/3) - x

I get -x-(1/3) but the online example states it should be (-x + 3)/3

is this correct and why?
• April 1st 2011, 08:22 PM
TheChaz
They are correct.
Since you have common denominators, you can combine numerators. You'll get

$\frac{1-(x-2)}{3}$

After distributing the negative, you'll have
1 - x + 2 in the numerator.
• April 1st 2011, 08:49 PM
hansfordmc
excellent explanation - thanks.