Simplify (9w^3)/(2w^5)+(3w^3)/(2w^5)

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

Combine the numerators over the common denominator.

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

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

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

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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