Solve 2/6+4/9-2/3

$$\frac { 2 } { 6 } + \frac { 4 } { 9 } - \frac { 2 } { 3 }$$

Evaluate

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

Solution Steps

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

$$\frac{1}{3}+\frac{4}{9}-\frac{2}{3}$$

Least common multiple of 3 and 9 is 9. Convert \frac{1}{3} and \frac{4}{9} to fractions with denominator 9.

$$\frac{3}{9}+\frac{4}{9}-\frac{2}{3}$$

Since \frac{3}{9} and \frac{4}{9} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{9}-\frac{2}{3}$$

Add 3 and 4 to get 7.

$$\frac{7}{9}-\frac{2}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{7}{9} and \frac{2}{3} to fractions with denominator 9.

$$\frac{7}{9}-\frac{6}{9}$$

Since \frac{7}{9} and \frac{6}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{9}$$

Subtract 6 from 7 to get 1.

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

Factor

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