Solve x+(2/4-y/2)=

$$x + ( \frac { 2 } { 4 } - \frac { y } { 2 } ) =$$

Evaluate

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

Short Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Since \frac{1}{2} and \frac{y}{2} have the same denominator, add them by adding their numerators.

$$x+\frac{1+y}{2}$$

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

$$\frac{2x}{2}+\frac{1+y}{2}$$

Since \frac{2x}{2} and \frac{1+y}{2} have the same denominator, add them by adding their numerators.

$$\frac{2x+1+y}{2}$$

Factor

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

Solution Steps

Factor out \frac{1}{2}.

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