Solve (-22/3)+(+11/2)=

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

Evaluate

$$-\frac{7}{6}\approx -1.166666667$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

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

$$-\frac{16}{6}+\frac{9}{6}$$

Since -\frac{16}{6} and \frac{9}{6} have the same denominator, add them by adding their numerators.

$$\frac{-16+9}{6}$$

Add -16 and 9 to get -7.

$$-\frac{7}{6}$$

Factor

$$-\frac{7}{6} = -1\frac{1}{6} = -1.1666666666666667$$