Solve 1/3+5/6-1/9

$$\frac { 1 } { 3 } + \frac { 5 } { 6 } - \frac { 1 } { 9 }$$

Evaluate

$$\frac{19}{18}\approx 1.055555556$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{5}{6} to fractions with denominator 6.

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

Since \frac{2}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

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

Add 2 and 5 to get 7.

$$\frac{7}{6}-\frac{1}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{7}{6} and \frac{1}{9} to fractions with denominator 18.

$$\frac{21}{18}-\frac{2}{18}$$

Since \frac{21}{18} and \frac{2}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-2}{18}$$

Subtract 2 from 21 to get 19.

$$\frac{19}{18}$$

Factor

$$\frac{19}{2 \cdot 3 ^ {2}} = 1\frac{1}{18} = 1.0555555555555556$$