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

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

Evaluate

$$\frac{5}{18}\approx 0.277777778$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{2}{6}+\frac{1}{9}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{6}+\frac{1}{9}$$

Subtract 2 from 3 to get 1.

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

Least common multiple of 6 and 9 is 18. Convert \frac{1}{6} and \frac{1}{9} to fractions with denominator 18.

$$\frac{3}{18}+\frac{2}{18}$$

Since \frac{3}{18} and \frac{2}{18} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{18}$$

Add 3 and 2 to get 5.

$$\frac{5}{18}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$$