Divide (3/(y^2))÷(3/(y^3))

$\frac{3}{y^{2}} \div \frac{3}{y^{3}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{y^{2}} \cdot \frac{y^{3}}{3}$

Step 2

Combine.

$\frac{3 y^{3}}{y^{2} \cdot 3}$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y^{3}}{y^{2} \cdot 3}$

Rewrite the expression.

$\frac{y^{3}}{y^{2}}$

Step 4

Cancel the common factor of $y^{3}$ and $y^{2}$ .

Factor $y^{2}$ out of $y^{3}$ .

$\frac{y^{2} y}{y^{2}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{y^{2} y}{y^{2} \cdot 1}$

Cancel the common factor.

$\frac{y^{2} y}{y^{2} \cdot 1}$

Rewrite the expression.

$\frac{y}{1}$

Divide $y$ by $1$ .

$y$