Simplify (x+9)/(3y)+(2x)/(3y)

$\frac{x + 9}{3 y} + \frac{2 x}{3 y}$

Step 1

Combine the numerators over the common denominator.

$\frac{x + 9 + 2 x}{3 y}$

Step 2

Add $x$ and $2 x$ .

$\frac{3 x + 9}{3 y}$

Step 3

Cancel the common factor of $3 x + 9$ and $3$ .

Factor $3$ out of $3 x$ .

$\frac{3 (x) + 9}{3 y}$

Factor $3$ out of $9$ .

$\frac{3 (x) + 3 \cdot 3}{3 y}$

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

$\frac{3 (x + 3)}{3 y}$

Cancel the common factors.

Factor $3$ out of $3 y$ .

$\frac{3 (x + 3)}{3 (y)}$

Cancel the common factor.

$\frac{3 (x + 3)}{3 y}$

Rewrite the expression.

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