Solve ((-2/3)(3/2))+5/4-3/2

$$((- \frac{ 2 }{ 3 } )( \frac{ 3 }{ 2 } ))+ \frac{ 5 }{ 4 } - \frac{ 3 }{ 2 }$$

Evaluate

$$-\frac{5}{4}=-1.25$$

Solution Steps

Multiply -\frac{2}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 3}{3\times 2}+\frac{5}{4}-\frac{3}{2}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-2}{2}+\frac{5}{4}-\frac{3}{2}$$

Divide -2 by 2 to get -1.

$$-1+\frac{5}{4}-\frac{3}{2}$$

Convert -1 to fraction -\frac{4}{4}.

$$-\frac{4}{4}+\frac{5}{4}-\frac{3}{2}$$

Since -\frac{4}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{-4+5}{4}-\frac{3}{2}$$

Add -4 and 5 to get 1.

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

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

$$\frac{1}{4}-\frac{6}{4}$$

Since \frac{1}{4} and \frac{6}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-6}{4}$$

Subtract 6 from 1 to get -5.

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

Factor

$$-\frac{5}{4} = -1\frac{1}{4} = -1.25$$