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

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

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

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

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

Since \frac{1}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

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

Add 1 and 3 to get 4.

$$\frac{4}{6}-\frac{1}{9}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{6}{9}-\frac{1}{9}$$

Since \frac{6}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{9}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$