Simplify 6/2+(6x)/(x+1)

$\frac{6}{2} + \frac{6 x}{x + 1}$

Divide $6$ by $2$ .

$3 + \frac{6 x}{x + 1}$

To write $3$ as a fraction with a common denominator, multiply by $\frac{x + 1}{x + 1}$ .

$\frac{3 (x + 1)}{x + 1} + \frac{6 x}{x + 1}$

Combine the numerators over the common denominator.

$\frac{3 (x + 1) + 6 x}{x + 1}$

Simplify the numerator.

Factor $3$ out of $3 (x + 1) + 6 x$ .

Factor $3$ out of $6 x$ .

$\frac{3 (x + 1) + 3 (2 x)}{x + 1}$

Factor $3$ out of $3 (x + 1) + 3 (2 x)$ .

$\frac{3 (x + 1 + 2 x)}{x + 1}$

Add $x$ and $2 x$ .

$\frac{3 (3 x + 1)}{x + 1}$