Algebra Examples

$\frac{9 w^{3}}{2 w^{5}} + \frac{3 w^{3}}{2 w^{5}}$

Step 1

Combine the numerators over the common denominator.

$\frac{9 w^{3} + 3 w^{3}}{2 w^{5}}$

Step 2

Add $9 w^{3}$ and $3 w^{3}$ .

$\frac{12 w^{3}}{2 w^{5}}$

Step 3

Cancel the common factor of $12$ and $2$ .

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Step 3.1

Factor $2$ out of $12 w^{3}$ .

$\frac{2 (6 w^{3})}{2 w^{5}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $2 w^{5}$ .

$\frac{2 (6 w^{3})}{2 (w^{5})}$

Step 3.2.2

Cancel the common factor.

$\frac{2 (6 w^{3})}{2 w^{5}}$

Step 3.2.3

Rewrite the expression.

$\frac{6 w^{3}}{w^{5}}$

Step 4

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

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Step 4.1

Factor $w^{3}$ out of $6 w^{3}$ .

$\frac{w^{3} \cdot 6}{w^{5}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

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

$\frac{w^{3} \cdot 6}{w^{3} w^{2}}$

Step 4.2.2

Cancel the common factor.

$\frac{w^{3} \cdot 6}{w^{3} w^{2}}$

Step 4.2.3

Rewrite the expression.

$\frac{6}{w^{2}}$