Basic Math Examples

$\frac{w^{3} y}{e^{5}} \div \frac{w^{2} y^{2}}{e^{4}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Combine.

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

Step 3

Cancel the common factor of $w^{3}$ and $w^{2}$ .

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Step 3.1

Factor $w^{2}$ out of $w^{3} y e^{4}$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $w^{2}$ out of $e^{5} (w^{2} y^{2})$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

Step 4

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

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Step 4.1

Factor $y$ out of $w y e^{4}$ .

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

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $y$ out of $e^{5} (y^{2})$ .

$\frac{y (w e^{4})}{y (e^{5} (y))}$

Step 4.2.2

Cancel the common factor.

$\frac{y (w e^{4})}{y (e^{5} (y))}$

Step 4.2.3

Rewrite the expression.

$\frac{w e^{4}}{e^{5} (y)}$

Step 5

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

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Step 5.1

Factor $e^{4}$ out of $w e^{4}$ .

$\frac{e^{4} w}{e^{5} (y)}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $e^{4}$ out of $e^{5} (y)$ .

$\frac{e^{4} w}{e^{4} (e y)}$

Step 5.2.2

Cancel the common factor.

$\frac{e^{4} w}{e^{4} (e y)}$

Step 5.2.3

Rewrite the expression.

$\frac{w}{e y}$