How would I reduce this fraction?
$\frac{km+kn}{n^2+nm}$
I think it would be $\frac{2k}{n^2}$ but I am not sure.
How would I reduce this fraction?
$\frac{km+kn}{n^2+nm}$
I think it would be $\frac{2k}{n^2}$ but I am not sure.
$\frac{KM+KN}{N^2+NM}=\frac{K(M+N)}{N(N+M)}=\frac{K}{N}$
As Alex Jordan comments, we can cancel out $M+N$ if and only if $M+N\neq 0$. In this case, given the fact that the denominator is of the form $N(M+N)$ we already know this is a non-zero number, and we can cancel.
On the other hand, if we were given something like $x=y$ then either $x=y=0$ or $x\neq 0$ and then we can divide by $x$ and have $\frac yx=1$.
$\frac{km+kn}{n^2+nm}=\frac{k(m+n)}{n(n+m)}=\frac{k}{n}$