Solve 2x-3/4-x-4/2-x+1/4

$$\frac { 2 x - 3 } { 4 } - \frac { x - 4 } { 2 } - \frac { x + 1 } { 4 }$$

Evaluate

$$-\frac{x}{4}+1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2 is 4. Multiply \frac{x-4}{2} times \frac{2}{2}.

$$\frac{2x-3}{4}-\frac{2\left(x-4\right)}{4}-\frac{x+1}{4}$$

Since \frac{2x-3}{4} and \frac{2\left(x-4\right)}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2x-3-2\left(x-4\right)}{4}-\frac{x+1}{4}$$

Do the multiplications in 2x-3-2\left(x-4\right).

$$\frac{2x-3-2x+8}{4}-\frac{x+1}{4}$$

Combine like terms in 2x-3-2x+8.

$$\frac{5}{4}-\frac{x+1}{4}$$

Since \frac{5}{4} and \frac{x+1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-\left(x+1\right)}{4}$$

Do the multiplications in 5-\left(x+1\right).

$$\frac{5-x-1}{4}$$

Combine like terms in 5-x-1.

$$\frac{4-x}{4}$$

Expand

$$-\frac{x}{4}+1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 2 is 4. Multiply \frac{x-4}{2} times \frac{2}{2}.

$$\frac{2x-3}{4}-\frac{2\left(x-4\right)}{4}-\frac{x+1}{4}$$

Since \frac{2x-3}{4} and \frac{2\left(x-4\right)}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2x-3-2\left(x-4\right)}{4}-\frac{x+1}{4}$$

Do the multiplications in 2x-3-2\left(x-4\right).

$$\frac{2x-3-2x+8}{4}-\frac{x+1}{4}$$

Combine like terms in 2x-3-2x+8.

$$\frac{5}{4}-\frac{x+1}{4}$$

Since \frac{5}{4} and \frac{x+1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-\left(x+1\right)}{4}$$

Do the multiplications in 5-\left(x+1\right).

$$\frac{5-x-1}{4}$$

Combine like terms in 5-x-1.

$$\frac{4-x}{4}$$