Solve 2/x+4/x+4

$$\frac { 2 } { x } + \frac { 4 } { x + 4 }$$

Evaluate

$$\frac{2\left(3x+4\right)}{x\left(x+4\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x+4 is x\left(x+4\right). Multiply \frac{2}{x} times \frac{x+4}{x+4}. Multiply \frac{4}{x+4} times \frac{x}{x}.

$$\frac{2\left(x+4\right)}{x\left(x+4\right)}+\frac{4x}{x\left(x+4\right)}$$

Since \frac{2\left(x+4\right)}{x\left(x+4\right)} and \frac{4x}{x\left(x+4\right)} have the same denominator, add them by adding their numerators.

$$\frac{2\left(x+4\right)+4x}{x\left(x+4\right)}$$

Do the multiplications in 2\left(x+4\right)+4x.

$$\frac{2x+8+4x}{x\left(x+4\right)}$$

Combine like terms in 2x+8+4x.

$$\frac{6x+8}{x\left(x+4\right)}$$

Expand x\left(x+4\right).

$$\frac{6x+8}{x^{2}+4x}$$

Factor

$$\frac{2\left(3x+4\right)}{x\left(x+4\right)}$$