Pre-Algebra Examples

$22 x^{2} y^{2} \div 11 x^{2} y^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{22 x^{2} y^{2}}{11 x^{2} y^{2}}$

Step 2

Cancel the common factor of $22$ and $11$ .

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Step 2.1

Factor $11$ out of $22 x^{2} y^{2}$ .

$\frac{11 (2 x^{2} y^{2})}{11 x^{2} y^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $11$ out of $11 x^{2} y^{2}$ .

$\frac{11 (2 x^{2} y^{2})}{11 (x^{2} y^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{11 (2 x^{2} y^{2})}{11 (x^{2} y^{2})}$

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

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

Step 4

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

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Step 4.1

Cancel the common factor.

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

Step 4.2

Divide $2$ by $1$ .

$2$

$2$

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