Solve x/x+1-x/x

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

Evaluate

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

Short Solution Steps

Divide x by x to get 1.

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

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

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

Since \frac{x}{x+1} and \frac{x+1}{x+1} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in x-\left(x+1\right).

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

Combine like terms in x-x-1.

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

Factor

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