Solve (5alpha/11/alpha-2/alpha)/2

$$\frac { ( 5 \alpha / 1 \frac { 1 } { \alpha } - \frac { 2 } { \alpha } ) } { 2 }$$

Evaluate

$$\frac{5}{2}-\frac{1}{\alpha }$$

Solution Steps

Anything divided by one gives itself.

$$\frac{5\alpha \times \frac{1}{\alpha }-\frac{2}{\alpha }}{2}$$

Express 5\times \frac{1}{\alpha } as a single fraction.

$$\frac{\frac{5}{\alpha }\alpha -\frac{2}{\alpha }}{2}$$

Cancel out \alpha and \alpha .

$$\frac{5-\frac{2}{\alpha }}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{\alpha }{\alpha }.

$$\frac{\frac{5\alpha }{\alpha }-\frac{2}{\alpha }}{2}$$

Since \frac{5\alpha }{\alpha } and \frac{2}{\alpha } have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5\alpha -2}{\alpha }}{2}$$

Express \frac{\frac{5\alpha -2}{\alpha }}{2} as a single fraction.

$$\frac{5\alpha -2}{\alpha \times 2}$$

Expand

$$\frac{5}{2}-\frac{1}{\alpha }$$

Solution Steps

Anything divided by one gives itself.

$$\frac{5\alpha \times \frac{1}{\alpha }-\frac{2}{\alpha }}{2}$$

Express 5\times \frac{1}{\alpha } as a single fraction.

$$\frac{\frac{5}{\alpha }\alpha -\frac{2}{\alpha }}{2}$$

Cancel out \alpha and \alpha .

$$\frac{5-\frac{2}{\alpha }}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{\alpha }{\alpha }.

$$\frac{\frac{5\alpha }{\alpha }-\frac{2}{\alpha }}{2}$$

Since \frac{5\alpha }{\alpha } and \frac{2}{\alpha } have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5\alpha -2}{\alpha }}{2}$$

Express \frac{\frac{5\alpha -2}{\alpha }}{2} as a single fraction.

$$\frac{5\alpha -2}{\alpha \times 2}$$