Divide (24xy^2)/(3xy)

$\frac{24 x y^{2}}{3 x y}$

Step 1

Cancel the common factor of $24$ and $3$ .

Factor $3$ out of $24 x y^{2}$ .

$\frac{3 (8 x y^{2})}{3 x y}$

Cancel the common factors.

Factor $3$ out of $3 x y$ .

$\frac{3 (8 x y^{2})}{3 (x y)}$

Cancel the common factor.

$\frac{3 (8 x y^{2})}{3 (x y)}$

Rewrite the expression.

$\frac{8 x y^{2}}{x y}$

$\frac{8 x y^{2}}{x y}$

$\frac{8 x y^{2}}{x y}$

Step 2

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{8 x y^{2}}{x y}$

Rewrite the expression.

$\frac{8 y^{2}}{y}$

$\frac{8 y^{2}}{y}$

Step 3

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

Factor $y$ out of $8 y^{2}$ .

$\frac{y (8 y)}{y}$

Cancel the common factors.

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

$\frac{y (8 y)}{y^{1}}$

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

$\frac{y (8 y)}{y \cdot 1}$

Cancel the common factor.

$\frac{y (8 y)}{y \cdot 1}$

Rewrite the expression.

$\frac{8 y}{1}$

Divide $8 y$ by $1$ .

$8 y$

$8 y$

$8 y$

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