Solve -31/2-21/3=

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

Evaluate

$$-\frac{35}{6}\approx -5.833333333$$

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

$$-\frac{7}{2}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$-\frac{7}{2}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$-\frac{7}{2}-\frac{7}{3}$$

Least common multiple of 2 and 3 is 6. Convert -\frac{7}{2} and \frac{7}{3} to fractions with denominator 6.

$$-\frac{21}{6}-\frac{14}{6}$$

Since -\frac{21}{6} and \frac{14}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-21-14}{6}$$

Subtract 14 from -21 to get -35.

$$-\frac{35}{6}$$

Factor

$$-\frac{35}{6} = -5\frac{5}{6} = -5.833333333333333$$