Solve -1/9+22/3

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

Evaluate

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

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

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

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

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

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

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

Add -1 and 24 to get 23.

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

Factor

$$\frac{23}{3 ^ {2}} = 2\frac{5}{9} = 2.5555555555555554$$