Solve 1/2(3)-3/2

$$\frac{ 1 }{ 2(3) } - \frac{ 3 }{ 2 }$$

Evaluate

$$-\frac{4}{3}\approx -1.333333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{1}{6}-\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{1}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{1}{6}-\frac{9}{6}$$

Since \frac{1}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-9}{6}$$

Subtract 9 from 1 to get -8.

$$\frac{-8}{6}$$

Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{4}{3} = -1\frac{1}{3} = -1.3333333333333333$$