Solve 5+5/x/2+frac{1{x}}

$$\frac { 5 + \frac { 5 } { x } } { 2 + \frac { 1 } { x } }$$

Evaluate

$$\frac{5\left(x+1\right)}{2x+1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x}{x}.

$$\frac{\frac{5x}{x}+\frac{5}{x}}{2+\frac{1}{x}}$$

Since \frac{5x}{x} and \frac{5}{x} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5x+5}{x}}{2+\frac{1}{x}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x}{x}.

$$\frac{\frac{5x+5}{x}}{\frac{2x}{x}+\frac{1}{x}}$$

Since \frac{2x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5x+5}{x}}{\frac{2x+1}{x}}$$

Divide \frac{5x+5}{x} by \frac{2x+1}{x} by multiplying \frac{5x+5}{x} by the reciprocal of \frac{2x+1}{x}.

$$\frac{\left(5x+5\right)x}{x\left(2x+1\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{5x+5}{2x+1}$$

Expand

$$\frac{5\left(x+1\right)}{2x+1}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{x}{x}.

$$\frac{\frac{5x}{x}+\frac{5}{x}}{2+\frac{1}{x}}$$

Since \frac{5x}{x} and \frac{5}{x} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5x+5}{x}}{2+\frac{1}{x}}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x}{x}.

$$\frac{\frac{5x+5}{x}}{\frac{2x}{x}+\frac{1}{x}}$$

Since \frac{2x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5x+5}{x}}{\frac{2x+1}{x}}$$

Divide \frac{5x+5}{x} by \frac{2x+1}{x} by multiplying \frac{5x+5}{x} by the reciprocal of \frac{2x+1}{x}.

$$\frac{\left(5x+5\right)x}{x\left(2x+1\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{5x+5}{2x+1}$$