Solve (-22/3)+(-31/2)

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

Evaluate

$$-\frac{37}{6}\approx -6.166666667$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

$$-\frac{8}{3}-\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$-\frac{8}{3}-\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$-\frac{8}{3}-\frac{7}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{8}{3} and \frac{7}{2} to fractions with denominator 6.

$$-\frac{16}{6}-\frac{21}{6}$$

Since -\frac{16}{6} and \frac{21}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-16-21}{6}$$

Subtract 21 from -16 to get -37.

$$-\frac{37}{6}$$

Factor

$$-\frac{37}{6} = -6\frac{1}{6} = -6.166666666666667$$