Solve 5/x+8+3/5x

$$\frac { 5 } { x + 8 } + \frac { 3 } { 5 x }$$

Evaluate

$$\frac{4\left(7x+6\right)}{5x\left(x+8\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x+8 and 5x is 5x\left(x+8\right). Multiply \frac{5}{x+8} times \frac{5x}{5x}. Multiply \frac{3}{5x} times \frac{x+8}{x+8}.

$$\frac{5\times 5x}{5x\left(x+8\right)}+\frac{3\left(x+8\right)}{5x\left(x+8\right)}$$

Since \frac{5\times 5x}{5x\left(x+8\right)} and \frac{3\left(x+8\right)}{5x\left(x+8\right)} have the same denominator, add them by adding their numerators.

$$\frac{5\times 5x+3\left(x+8\right)}{5x\left(x+8\right)}$$

Do the multiplications in 5\times 5x+3\left(x+8\right).

$$\frac{25x+3x+24}{5x\left(x+8\right)}$$

Combine like terms in 25x+3x+24.

$$\frac{28x+24}{5x\left(x+8\right)}$$

Expand 5x\left(x+8\right).

$$\frac{28x+24}{5x^{2}+40x}$$

Factor

$$\frac{4\left(7x+6\right)}{5x\left(x+8\right)}$$