Solve -3/2+-5/3=

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

Evaluate

$$-\frac{19}{6}\approx -3.166666667$$

Solution Steps

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

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

Least common multiple of 2 and 3 is 6. Convert -\frac{3}{2} and \frac{5}{3} to fractions with denominator 6.

$$-\frac{9}{6}-\frac{10}{6}$$

Since -\frac{9}{6} and \frac{10}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-10}{6}$$

Subtract 10 from -9 to get -19.

$$-\frac{19}{6}$$

Factor

$$-\frac{19}{6} = -3\frac{1}{6} = -3.1666666666666665$$