# Math Help - simplification

1. ## 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?

2. 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.

3. excellent explanation - thanks.