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?

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- Apr 1st 2011, 07:10 PMhansfordmcsimplification
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? - Apr 1st 2011, 07:22 PMTheChaz
They are correct.

Since you have common denominators, you can combine numerators. You'll get

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

After distributing the negative, you'll have

1 - x + 2 in the numerator. - Apr 1st 2011, 07:49 PMhansfordmc
excellent explanation - thanks.