Solve -1-2/9+1/3+3

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

Evaluate

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

Solution Steps

Multiply 1 and 9 to get 9.

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

Subtract 2 from 9 to get 7.

$$-\frac{7}{9}+\frac{1}{3}+3$$

Least common multiple of 9 and 3 is 9. Convert -\frac{7}{9} and \frac{1}{3} to fractions with denominator 9.

$$-\frac{7}{9}+\frac{3}{9}+3$$

Since -\frac{7}{9} and \frac{3}{9} have the same denominator, add them by adding their numerators.

$$\frac{-7+3}{9}+3$$

Add -7 and 3 to get -4.

$$-\frac{4}{9}+3$$

Convert 3 to fraction \frac{27}{9}.

$$-\frac{4}{9}+\frac{27}{9}$$

Since -\frac{4}{9} and \frac{27}{9} have the same denominator, add them by adding their numerators.

$$\frac{-4+27}{9}$$

Add -4 and 27 to get 23.

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

Factor

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