Finite Math Examples

$(\frac{7 x}{11}) (\frac{66 y}{14 x^{3}})$

Step 1

Combine.

$\frac{7 x (66 y)}{11 (14 x^{3})}$

Step 2

Cancel the common factor of $7$ and $14$ .

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Step 2.1

Factor $7$ out of $7 x (66 y)$ .

$\frac{7 (x (66 y))}{11 (14 x^{3})}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $7$ out of $11 (14 x^{3})$ .

$\frac{7 (x (66 y))}{7 (11 (2 x^{3}))}$

Step 2.2.2

Cancel the common factor.

$\frac{7 (x (66 y))}{7 (11 (2 x^{3}))}$

Step 2.2.3

Rewrite the expression.

$\frac{x (66 y)}{11 (2 x^{3})}$

$\frac{x (66 y)}{11 (2 x^{3})}$

$\frac{x (66 y)}{11 (2 x^{3})}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $x$ out of $11 (2 x^{3})$ .

$\frac{x (66 y)}{x (11 (2 x^{2}))}$

Step 3.2

Cancel the common factor.

$\frac{x (66 y)}{x (11 (2 x^{2}))}$

Step 3.3

Rewrite the expression.

$\frac{66 y}{11 (2 x^{2})}$

$\frac{66 y}{11 (2 x^{2})}$

Step 4

Cancel the common factor of $66$ and $11$ .

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Step 4.1

Factor $11$ out of $66 y$ .

$\frac{11 (6 y)}{11 (2 x^{2})}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Cancel the common factor.

$\frac{11 (6 y)}{11 (2 x^{2})}$

Step 4.2.2

Rewrite the expression.

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

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

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

Step 5

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

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Step 5.1

Factor $2$ out of $6 y$ .

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

Step 5.2

Cancel the common factors.

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Step 5.2.1

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

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

Step 5.2.2

Cancel the common factor.

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

Step 5.2.3

Rewrite the expression.

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

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

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

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