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

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

Evaluate

$$\frac{s\left(15x-2\right)}{x\left(x+4s\right)}$$

Short Solution Steps

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

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

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

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

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

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

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

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

Divide \frac{15x-2}{x} by \frac{x+4s}{s} by multiplying \frac{15x-2}{x} by the reciprocal of \frac{x+4s}{s}.

$$\frac{\left(15x-2\right)s}{x\left(x+4s\right)}$$

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

$$\frac{15xs-2s}{x\left(x+4s\right)}$$

Use the distributive property to multiply x by x+4s.

$$\frac{15xs-2s}{x^{2}+4xs}$$

Expand

$$\frac{15sx-2s}{x\left(x+4s\right)}$$

Short Solution Steps

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

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

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

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

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

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

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

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

Divide \frac{15x-2}{x} by \frac{x+4s}{s} by multiplying \frac{15x-2}{x} by the reciprocal of \frac{x+4s}{s}.

$$\frac{\left(15x-2\right)s}{x\left(x+4s\right)}$$

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

$$\frac{15xs-2s}{x\left(x+4s\right)}$$

Use the distributive property to multiply x by x+4s.

$$\frac{15xs-2s}{x^{2}+4xs}$$