Solve (+3/4)+(+1/2)-(+7/4)

$$( + \frac { 3 } { 4 } ) + ( + \frac { 1 } { 2 } ) - ( + \frac { 7 } { 4 } )$$

Evaluate

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

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{3}{4}+\frac{2}{4}-\frac{7}{4}$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{4}-\frac{7}{4}$$

Add 3 and 2 to get 5.

$$\frac{5}{4}-\frac{7}{4}$$

Since \frac{5}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-7}{4}$$

Subtract 7 from 5 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

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