Solve 1/x+1+3/6

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

Evaluate

$$\frac{3x+4}{6\left(x+1\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{x+1}{x+1}.

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

Since \frac{1}{x+1} and \frac{3\left(x+1\right)}{x+1} have the same denominator, add them by adding their numerators.

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

Do the multiplications in 1+3\left(x+1\right).

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

Combine like terms in 1+3x+3.

$$\frac{\frac{4+3x}{x+1}}{6}$$

Express \frac{\frac{4+3x}{x+1}}{6} as a single fraction.

$$\frac{4+3x}{\left(x+1\right)\times 6}$$

Use the distributive property to multiply x+1 by 6.

$$\frac{4+3x}{6x+6}$$

Expand

$$\frac{3x+4}{6\left(x+1\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{x+1}{x+1}.

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

Since \frac{1}{x+1} and \frac{3\left(x+1\right)}{x+1} have the same denominator, add them by adding their numerators.

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

Do the multiplications in 1+3\left(x+1\right).

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

Combine like terms in 1+3x+3.

$$\frac{\frac{4+3x}{x+1}}{6}$$

Express \frac{\frac{4+3x}{x+1}}{6} as a single fraction.

$$\frac{4+3x}{\left(x+1\right)\times 6}$$

Use the distributive property to multiply x+1 by 6.

$$\frac{4+3x}{6x+6}$$