Solve 6x+5/2-3/frac{6*5{2}}

$$\frac { \frac { 6 x + 5 } { 2 } - 3 } { \frac { 6 \times 5 } { 2 } }$$

Evaluate

$$\frac{x}{5}-\frac{1}{30}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2}{2}.

$$\frac{\frac{6x+5}{2}-\frac{3\times 2}{2}}{\frac{6\times 5}{2}}$$

Since \frac{6x+5}{2} and \frac{3\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{6x+5-3\times 2}{2}}{\frac{6\times 5}{2}}$$

Do the multiplications in 6x+5-3\times 2.

$$\frac{\frac{6x+5-6}{2}}{\frac{6\times 5}{2}}$$

Combine like terms in 6x+5-6.

$$\frac{\frac{6x-1}{2}}{\frac{6\times 5}{2}}$$

Multiply 6 and 5 to get 30.

$$\frac{\frac{6x-1}{2}}{\frac{30}{2}}$$

Divide 30 by 2 to get 15.

$$\frac{\frac{6x-1}{2}}{15}$$

Express \frac{\frac{6x-1}{2}}{15} as a single fraction.

$$\frac{6x-1}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{6x-1}{30}$$

Expand

$$\frac{x}{5}-\frac{1}{30}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2}{2}.

$$\frac{\frac{6x+5}{2}-\frac{3\times 2}{2}}{\frac{6\times 5}{2}}$$

Since \frac{6x+5}{2} and \frac{3\times 2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{6x+5-3\times 2}{2}}{\frac{6\times 5}{2}}$$

Do the multiplications in 6x+5-3\times 2.

$$\frac{\frac{6x+5-6}{2}}{\frac{6\times 5}{2}}$$

Combine like terms in 6x+5-6.

$$\frac{\frac{6x-1}{2}}{\frac{6\times 5}{2}}$$

Multiply 6 and 5 to get 30.

$$\frac{\frac{6x-1}{2}}{\frac{30}{2}}$$

Divide 30 by 2 to get 15.

$$\frac{\frac{6x-1}{2}}{15}$$

Express \frac{\frac{6x-1}{2}}{15} as a single fraction.

$$\frac{6x-1}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{6x-1}{30}$$