Simplify (3x+3y)/(20xy)+(3x-3y)/(20xy)

$\frac{3 x + 3 y}{20 x y} + \frac{3 x - 3 y}{20 x y}$

Combine the numerators over the common denominator.

$\frac{3 x + 3 y + 3 x - 3 y}{20 x y}$

Combine the opposite terms in $3 x + 3 y + 3 x - 3 y$ .

Subtract $3 y$ from $3 y$ .

$\frac{3 x + 3 x + 0}{20 x y}$

Add $3 x + 3 x$ and $0$ .

$\frac{3 x + 3 x}{20 x y}$

Add $3 x$ and $3 x$ .

$\frac{6 x}{20 x y}$

Cancel the common factor of $6$ and $20$ .

Factor $2$ out of $6 x$ .

$\frac{2 (3 x)}{20 x y}$

Cancel the common factors.

Factor $2$ out of $20 x y$ .

$\frac{2 (3 x)}{2 (10 x y)}$

Cancel the common factor.

$\frac{2 (3 x)}{2 (10 x y)}$

Rewrite the expression.

$\frac{3 x}{10 x y}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{3 x}{10 x y}$

Rewrite the expression.

$\frac{3}{10 y}$