Finite Math Examples

$\frac{10 x y^{5}}{16 x^{7} y^{3} z^{2}}$

Step 1

Cancel the common factor of $10$ and $16$ .

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Step 1.1

Factor $2$ out of $10 x y^{5}$ .

$\frac{2 (5 x y^{5})}{16 x^{7} y^{3} z^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $16 x^{7} y^{3} z^{2}$ .

$\frac{2 (5 x y^{5})}{2 (8 x^{7} y^{3} z^{2})}$

Step 1.2.2

Cancel the common factor.

$\frac{2 (5 x y^{5})}{2 (8 x^{7} y^{3} z^{2})}$

Step 1.2.3

Rewrite the expression.

$\frac{5 x y^{5}}{8 x^{7} y^{3} z^{2}}$

$\frac{5 x y^{5}}{8 x^{7} y^{3} z^{2}}$

$\frac{5 x y^{5}}{8 x^{7} y^{3} z^{2}}$

Step 2

Cancel the common factor of $x$ and $x^{7}$ .

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Step 2.1

Factor $x$ out of $5 x y^{5}$ .

$\frac{x (5 y^{5})}{8 x^{7} y^{3} z^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $x$ out of $8 x^{7} y^{3} z^{2}$ .

$\frac{x (5 y^{5})}{x (8 x^{6} y^{3} z^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{x (5 y^{5})}{x (8 x^{6} y^{3} z^{2})}$

Step 2.2.3

Rewrite the expression.

$\frac{5 y^{5}}{8 x^{6} y^{3} z^{2}}$

$\frac{5 y^{5}}{8 x^{6} y^{3} z^{2}}$

$\frac{5 y^{5}}{8 x^{6} y^{3} z^{2}}$

Step 3

Cancel the common factor of $y^{5}$ and $y^{3}$ .

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Step 3.1

Factor $y^{3}$ out of $5 y^{5}$ .

$\frac{y^{3} (5 y^{2})}{8 x^{6} y^{3} z^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $y^{3}$ out of $8 x^{6} y^{3} z^{2}$ .

$\frac{y^{3} (5 y^{2})}{y^{3} (8 x^{6} z^{2})}$

Step 3.2.2

Cancel the common factor.

$\frac{y^{3} (5 y^{2})}{y^{3} (8 x^{6} z^{2})}$

Step 3.2.3

Rewrite the expression.

$\frac{5 y^{2}}{8 x^{6} z^{2}}$

$\frac{5 y^{2}}{8 x^{6} z^{2}}$

$\frac{5 y^{2}}{8 x^{6} z^{2}}$

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