Solve x/9-1/x-9

$$\frac { \frac { x } { 9 } - 1 } { x - 9 }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{9}{9}.

$$\frac{\frac{x}{9}-\frac{9}{9}}{x-9}$$

Since \frac{x}{9} and \frac{9}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{x-9}{9}}{x-9}$$

Express \frac{\frac{x-9}{9}}{x-9} as a single fraction.

$$\frac{x-9}{9\left(x-9\right)}$$

Cancel out x-9 in both numerator and denominator.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$