Divide (q/(r^2))/((q^2)/r)

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Combine.

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

Step 3

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

Factor $q$ out of $q r$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

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

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

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{r q}$