Solve (-5/6)+(-2/3)=

$$( \frac { - 5 } { 6 } ) + ( \frac { - 2 } { 3 } ) =$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$-\frac{5}{6}+\frac{-2}{3}$$

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

$$-\frac{5}{6}-\frac{2}{3}$$

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

$$-\frac{5}{6}-\frac{4}{6}$$

Since -\frac{5}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-4}{6}$$

Subtract 4 from -5 to get -9.

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

Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$