Solve 3/4-5/2)*2/3]*(2/3)+sqrt{(frac{3}{2}+frac{5}{4}-frac{29}{4})}+(-frac{1}{2})-(frac{2}{3})+2

$$\frac { 3 } { 4 } - \frac { 5 } { 2 } ) \cdot \frac { 2 } { 3 } ] \times ( \frac { 2 } { 3 } ) + \sqrt { ( \frac { 3 } { 2 } + \frac { 5 } { 4 } - \frac { 29 } { 4 } ) } + ( - \frac { 1 } { 2 } ) - ( \frac { 2 } { 3 } ) + 2$$

Evaluate

$$-\frac{7}{4}=-1.75$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{5}{2} to fractions with denominator 4.

$$\frac{3}{4}-\frac{10}{4}$$

Since \frac{3}{4} and \frac{10}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-10}{4}$$

Subtract 10 from 3 to get -7.

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

Factor

$$-\frac{7}{4} = -1\frac{3}{4} = -1.75$$