Solve 3/4-(+1/4)+(-5/4)+(+1/4)

$$\frac { 3 } { 4 } - ( + \frac { 1 } { 4 } ) + ( - \frac { 5 } { 4 } ) + ( + \frac { 1 } { 4 } )$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Since \frac{3}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-1}{4}-\frac{5}{4}+\frac{1}{4}$$

Subtract 1 from 3 to get 2.

$$\frac{2}{4}-\frac{5}{4}+\frac{1}{4}$$

Since \frac{2}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-5}{4}+\frac{1}{4}$$

Subtract 5 from 2 to get -3.

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

Since -\frac{3}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add -3 and 1 to get -2.

$$\frac{-2}{4}$$

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

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

Factor

$$-\frac{1}{2} = -0.5$$