Simplify (r/(s^2))/((r^2)/s)

$\frac{\frac{r}{s^{2}}}{\frac{r^{2}}{s}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{r}{s^{2}} \cdot \frac{s}{r^{2}}$

Combine.

$\frac{r s}{s^{2} r^{2}}$

Cancel the common factor of $r$ and $r^{2}$ .

Factor $r$ out of $r s$ .

$\frac{r (s)}{s^{2} r^{2}}$

Cancel the common factors.

Factor $r$ out of $s^{2} r^{2}$ .

$\frac{r (s)}{r (s^{2} r)}$

Cancel the common factor.

$\frac{r s}{r (s^{2} r)}$

Rewrite the expression.

$\frac{s}{s^{2} r}$

Cancel the common factor of $s$ and $s^{2}$ .

Raise $s$ to the power of $1$ .

$\frac{s^{1}}{s^{2} r}$

Factor $s$ out of $s^{1}$ .

$\frac{s \cdot 1}{s^{2} r}$

Cancel the common factors.

Factor $s$ out of $s^{2} r$ .

$\frac{s \cdot 1}{s (s r)}$

Cancel the common factor.

$\frac{s \cdot 1}{s (s r)}$

Rewrite the expression.

$\frac{1}{s r}$