Solve x/y+1/frac{x{y}-1}?

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

Evaluate

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

Solution Steps

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

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

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

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

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

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

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

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

Divide \frac{x+y}{y} by \frac{x-y}{y} by multiplying \frac{x+y}{y} by the reciprocal of \frac{x-y}{y}.

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

Cancel out y in both numerator and denominator.

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

Expand

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

Solution Steps

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

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

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

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

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

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

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

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

Divide \frac{x+y}{y} by \frac{x-y}{y} by multiplying \frac{x+y}{y} by the reciprocal of \frac{x-y}{y}.

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

Cancel out y in both numerator and denominator.

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