Solve -22/3+1/9=

$$- 2 \frac { 2 } { 3 } + \frac { 1 } { 9 } =$$

Evaluate

$$-\frac{23}{9}\approx -2.555555556$$

Solution Steps

Multiply 2 and 3 to get 6.

$$-\frac{6+2}{3}+\frac{1}{9}$$

Add 6 and 2 to get 8.

$$-\frac{8}{3}+\frac{1}{9}$$

Least common multiple of 3 and 9 is 9. Convert -\frac{8}{3} and \frac{1}{9} to fractions with denominator 9.

$$-\frac{24}{9}+\frac{1}{9}$$

Since -\frac{24}{9} and \frac{1}{9} have the same denominator, add them by adding their numerators.

$$\frac{-24+1}{9}$$

Add -24 and 1 to get -23.

$$-\frac{23}{9}$$

Factor

$$-\frac{23}{9} = -2\frac{5}{9} = -2.5555555555555554$$