Pre-Algebra Examples

$6 x^{2} y^{3} \div 2 x y$

Step 1

Rewrite the division as a fraction.

$\frac{6 x^{2} y^{3}}{2 x y}$

Step 2

Cancel the common factor of $6$ and $2$ .

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Step 2.1

Factor $2$ out of $6 x^{2} y^{3}$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2 x y$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

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

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Step 3.1

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

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x$ out of $x y$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

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

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Step 4.1

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

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

$\frac{y (3 x y^{2})}{y^{1}}$

Step 4.2.2

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

$\frac{y (3 x y^{2})}{y \cdot 1}$

Step 4.2.3

Cancel the common factor.

$\frac{y (3 x y^{2})}{y \cdot 1}$

Step 4.2.4

Rewrite the expression.

$\frac{3 x y^{2}}{1}$

Step 4.2.5

Divide $3 x y^{2}$ by $1$ .

$3 x y^{2}$

$3 x y^{2}$

$3 x y^{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$