Solve 5/18+1/9-1/6

$$\frac { 5 } { 18 } + \frac { 1 } { 9 } - \frac { 1 } { 6 }$$

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

Least common multiple of 18 and 9 is 18. Convert \frac{5}{18} and \frac{1}{9} to fractions with denominator 18.

$$\frac{5}{18}+\frac{2}{18}-\frac{1}{6}$$

Since \frac{5}{18} and \frac{2}{18} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{18}-\frac{1}{6}$$

Add 5 and 2 to get 7.

$$\frac{7}{18}-\frac{1}{6}$$

Least common multiple of 18 and 6 is 18. Convert \frac{7}{18} and \frac{1}{6} to fractions with denominator 18.

$$\frac{7}{18}-\frac{3}{18}$$

Since \frac{7}{18} and \frac{3}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-3}{18}$$

Subtract 3 from 7 to get 4.

$$\frac{4}{18}$$

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$