Simplify (5x)/(12y^3)+(x+2y)/(12y^3)

$\frac{5 x}{12 y^{3}} + \frac{x + 2 y}{12 y^{3}}$

Combine the numerators over the common denominator.

$\frac{5 x + x + 2 y}{12 y^{3}}$

Add $5 x$ and $x$ .

$\frac{6 x + 2 y}{12 y^{3}}$

Cancel the common factor of $6 x + 2 y$ and $12$ .

Factor $2$ out of $6 x$ .

$\frac{2 (3 x) + 2 y}{12 y^{3}}$

Factor $2$ out of $2 y$ .

$\frac{2 (3 x) + 2 (y)}{12 y^{3}}$

Factor $2$ out of $2 (3 x) + 2 (y)$ .

$\frac{2 (3 x + y)}{12 y^{3}}$

Cancel the common factors.

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

$\frac{2 (3 x + y)}{2 (6 y^{3})}$

Cancel the common factor.

$\frac{2 (3 x + y)}{2 (6 y^{3})}$

Rewrite the expression.

$\frac{3 x + y}{6 y^{3}}$