Solve -1/2+5/6-2/9=

$$- \frac { 1 } { 2 } + \frac { 5 } { 6 } - \frac { 2 } { 9 } =$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert -\frac{1}{2} and \frac{5}{6} to fractions with denominator 6.

$$-\frac{3}{6}+\frac{5}{6}-\frac{2}{9}$$

Since -\frac{3}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{-3+5}{6}-\frac{2}{9}$$

Add -3 and 5 to get 2.

$$\frac{2}{6}-\frac{2}{9}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{2}{9} to fractions with denominator 9.

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

Since \frac{3}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$