Solve 1/2(-3)-3/2

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

Evaluate

$$-\frac{5}{3}\approx -1.666666667$$

Solution Steps

Multiply 2 and -3 to get -6.

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

Fraction \frac{1}{-6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

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

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 -10.

$$\frac{-10}{6}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{3}$$

Factor

$$-\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$