Hello wolfhound Originally Posted by
wolfhound Hello I need to make this red fraction as one
In the photo attached
The correct answer should be
(x-2)/x^2
Can someone show me where I went wrong (green answer)Please
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: $\displaystyle \frac{x-2}{x^2}$.
The reason you didn't get it in its lowest terms is that you didn't find the lowest common denominator. The denominators are:$\displaystyle x$ and $\displaystyle x^2$
and the lowest common denominator is simply $\displaystyle x^2$. So when you're combining the two fractions, you don't need to change the second one at all. You get this:$\displaystyle \frac{1}{x}-\frac{2}{x^2} =\frac{1}{x}\times\color{red}\frac{x}{x}\color{bla ck}-\frac{2}{x^2}$
$\displaystyle =\frac{x}{x^2}-\frac{2}{x^2}$
$\displaystyle =\frac{x-2}{x^2}$
Do you see how it works?
Grandad