Solve 1/2+(-22/3)

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

Evaluate

$$-\frac{13}{6}\approx -2.166666667$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{8}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{16}{6}$$

Since \frac{3}{6} and \frac{16}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-16}{6}$$

Subtract 16 from 3 to get -13.

$$-\frac{13}{6}$$

Factor

$$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$$