# Math Help - Fraction problem........

1. ## Fraction problem........

Hello I need to make this red fraction as one
In the photo attached

(x-2)/x^2

2. Hello wolfhound
Originally Posted by wolfhound
Hello I need to make this red fraction as one
In the photo attached

(x-2)/x^2

Your answer isn't wrong - it just isn't in its lowest terms. In other words, it will cancel - and it cancels to the correct answer: $\frac{x-2}{x^2}$.

The reason you didn't get it in its lowest terms is that you didn't find the lowest common denominator. The denominators are:
$x$ and $x^2$
and the lowest common denominator is simply $x^2$. So when you're combining the two fractions, you don't need to change the second one at all. You get this:
$\frac{1}{x}-\frac{2}{x^2} =\frac{1}{x}\times\color{red}\frac{x}{x}\color{bla ck}-\frac{2}{x^2}$
$=\frac{x}{x^2}-\frac{2}{x^2}$

$=\frac{x-2}{x^2}$
Do you see how it works?