Algebra Examples

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

Step 1

Divide $6$ by $2$ .

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

Step 2

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

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

Step 3

Combine the numerators over the common denominator.

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

Step 4

Simplify the numerator.

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Step 4.1

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

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Step 4.1.1

Factor $3$ out of $6 x$ .

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

Step 4.1.2

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

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

Step 4.2

Add $x$ and $2 x$ .

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