Solve 3x/y-2/a-frac{4{y}}

$$\frac { \frac { 3 x } { y } - 2 } { a - \frac { 4 } { y } }$$

Evaluate

$$\frac{3x-2y}{ay-4}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{y}{y}.

$$\frac{\frac{3x}{y}-\frac{2y}{y}}{a-\frac{4}{y}}$$

Since \frac{3x}{y} and \frac{2y}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3x-2y}{y}}{a-\frac{4}{y}}$$

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

$$\frac{\frac{3x-2y}{y}}{\frac{ay}{y}-\frac{4}{y}}$$

Since \frac{ay}{y} and \frac{4}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3x-2y}{y}}{\frac{ay-4}{y}}$$

Divide \frac{3x-2y}{y} by \frac{ay-4}{y} by multiplying \frac{3x-2y}{y} by the reciprocal of \frac{ay-4}{y}.

$$\frac{\left(3x-2y\right)y}{y\left(ay-4\right)}$$

Cancel out y in both numerator and denominator.

$$\frac{3x-2y}{ay-4}$$

Expand

$$\frac{3x-2y}{ay-4}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{y}{y}.

$$\frac{\frac{3x}{y}-\frac{2y}{y}}{a-\frac{4}{y}}$$

Since \frac{3x}{y} and \frac{2y}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3x-2y}{y}}{a-\frac{4}{y}}$$

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

$$\frac{\frac{3x-2y}{y}}{\frac{ay}{y}-\frac{4}{y}}$$

Since \frac{ay}{y} and \frac{4}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{3x-2y}{y}}{\frac{ay-4}{y}}$$

Divide \frac{3x-2y}{y} by \frac{ay-4}{y} by multiplying \frac{3x-2y}{y} by the reciprocal of \frac{ay-4}{y}.

$$\frac{\left(3x-2y\right)y}{y\left(ay-4\right)}$$

Cancel out y in both numerator and denominator.

$$\frac{3x-2y}{ay-4}$$