$$\frac{r+9}{r-2}\div\frac{2r+1}{r-2}$$
$\frac{r+9}{2r+1}$
$$\frac{\left(r+9\right)\left(r-2\right)}{\left(r-2\right)\left(2r+1\right)}$$
$$\frac{r+9}{2r+1}$$
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