Simplify 4/(5(x+9))+(3x)/(x+9)

$\frac{4}{5 (x + 9)} + \frac{3 x}{x + 9}$

Step 1

To write $\frac{3 x}{x + 9}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{4}{5 (x + 9)} + \frac{3 x}{x + 9} \cdot \frac{5}{5}$

Step 2

Write each expression with a common denominator of $5 (x + 9)$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3 x}{x + 9}$ by $\frac{5}{5}$ .

$\frac{4}{5 (x + 9)} + \frac{3 x \cdot 5}{(x + 9) \cdot 5}$

Reorder the factors of $(x + 9) \cdot 5$ .

$\frac{4}{5 (x + 9)} + \frac{3 x \cdot 5}{5 (x + 9)}$

Step 3

Combine the numerators over the common denominator.

$\frac{4 + 3 x \cdot 5}{5 (x + 9)}$

Step 4

Multiply $5$ by $3$ .

$\frac{4 + 15 x}{5 (x + 9)}$