Solve -11/2-1/3=

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

Evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

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

$$-\frac{9}{6}-\frac{2}{6}$$

Since -\frac{9}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-2}{6}$$

Subtract 2 from -9 to get -11.

$$-\frac{11}{6}$$

Factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$