Solve -3/2+-2/3

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

Evaluate

$$-\frac{13}{6}\approx -2.166666667$$

Solution Steps

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

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

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

$$-\frac{9}{6}-\frac{4}{6}$$

Since -\frac{9}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-4}{6}$$

Subtract 4 from -9 to get -13.

$$-\frac{13}{6}$$

Factor

$$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$$