Solve 15-2/x/x/5+4

$$\frac { 15 - 2 / x } { x / 5 + 4 }$$

Evaluate

$$\frac{5\left(15x-2\right)}{x\left(x+20\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 15 times \frac{x}{x}.

$$\frac{\frac{15x}{x}-\frac{2}{x}}{\frac{x}{5}+4}$$

Since \frac{15x}{x} and \frac{2}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15x-2}{x}}{\frac{x}{5}+4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{5}{5}.

$$\frac{\frac{15x-2}{x}}{\frac{x}{5}+\frac{4\times 5}{5}}$$

Since \frac{x}{5} and \frac{4\times 5}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{15x-2}{x}}{\frac{x+4\times 5}{5}}$$

Do the multiplications in x+4\times 5.

$$\frac{\frac{15x-2}{x}}{\frac{x+20}{5}}$$

Divide \frac{15x-2}{x} by \frac{x+20}{5} by multiplying \frac{15x-2}{x} by the reciprocal of \frac{x+20}{5}.

$$\frac{\left(15x-2\right)\times 5}{x\left(x+20\right)}$$

Use the distributive property to multiply 15x-2 by 5.

$$\frac{75x-10}{x\left(x+20\right)}$$

Use the distributive property to multiply x by x+20.

$$\frac{75x-10}{x^{2}+20x}$$

Expand

$$\frac{5\left(15x-2\right)}{x\left(x+20\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 15 times \frac{x}{x}.

$$\frac{\frac{15x}{x}-\frac{2}{x}}{\frac{x}{5}+4}$$

Since \frac{15x}{x} and \frac{2}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15x-2}{x}}{\frac{x}{5}+4}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{5}{5}.

$$\frac{\frac{15x-2}{x}}{\frac{x}{5}+\frac{4\times 5}{5}}$$

Since \frac{x}{5} and \frac{4\times 5}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{15x-2}{x}}{\frac{x+4\times 5}{5}}$$

Do the multiplications in x+4\times 5.

$$\frac{\frac{15x-2}{x}}{\frac{x+20}{5}}$$

Divide \frac{15x-2}{x} by \frac{x+20}{5} by multiplying \frac{15x-2}{x} by the reciprocal of \frac{x+20}{5}.

$$\frac{\left(15x-2\right)\times 5}{x\left(x+20\right)}$$

Use the distributive property to multiply 15x-2 by 5.

$$\frac{75x-10}{x\left(x+20\right)}$$

Use the distributive property to multiply x by x+20.

$$\frac{75x-10}{x^{2}+20x}$$