Solve 2x-1/6-11/2

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

Evaluate

$$\frac{x-5}{3}$$

Short Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

$$\frac{2x-1}{6}-\frac{3}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 2 is 6. Multiply \frac{3}{2} times \frac{3}{3}.

$$\frac{2x-1}{6}-\frac{3\times 3}{6}$$

Since \frac{2x-1}{6} and \frac{3\times 3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2x-1-3\times 3}{6}$$

Do the multiplications in 2x-1-3\times 3.

$$\frac{2x-1-9}{6}$$

Combine like terms in 2x-1-9.

$$\frac{2x-10}{6}$$

Expand

$$\frac{x-5}{3}$$

Short Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

$$\frac{2x-1}{6}-\frac{3}{2}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 2 is 6. Multiply \frac{3}{2} times \frac{3}{3}.

$$\frac{2x-1}{6}-\frac{3\times 3}{6}$$

Since \frac{2x-1}{6} and \frac{3\times 3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2x-1-3\times 3}{6}$$

Do the multiplications in 2x-1-3\times 3.

$$\frac{2x-1-9}{6}$$

Combine like terms in 2x-1-9.

$$\frac{2x-10}{6}$$