Precalculus Examples

$\frac{8 y^{4}}{12 y^{5}}$

Step 1

Cancel the common factor of $8$ and $12$ .

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Step 1.1

Factor $4$ out of $8 y^{4}$ .

$\frac{4 (2 y^{4})}{12 y^{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $12 y^{5}$ .

$\frac{4 (2 y^{4})}{4 (3 y^{5})}$

Step 1.2.2

Cancel the common factor.

$\frac{4 (2 y^{4})}{4 (3 y^{5})}$

Step 1.2.3

Rewrite the expression.

$\frac{2 y^{4}}{3 y^{5}}$

$\frac{2 y^{4}}{3 y^{5}}$

$\frac{2 y^{4}}{3 y^{5}}$

Step 2

Cancel the common factor of $y^{4}$ and $y^{5}$ .

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Step 2.1

Factor $y^{4}$ out of $2 y^{4}$ .

$\frac{y^{4} \cdot 2}{3 y^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $y^{4}$ out of $3 y^{5}$ .

$\frac{y^{4} \cdot 2}{y^{4} (3 y)}$

Step 2.2.2

Cancel the common factor.

$\frac{y^{4} \cdot 2}{y^{4} (3 y)}$

Step 2.2.3

Rewrite the expression.

$\frac{2}{3 y}$

$\frac{2}{3 y}$

$\frac{2}{3 y}$

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