Solve 1/3-2/9+5/6

$$\frac { 1 } { 3 } - \frac { 2 } { 9 } + \frac { 5 } { 6 }$$

Evaluate

$$\frac{17}{18}\approx 0.944444444$$

Solution Steps

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

$$\frac{3}{9}-\frac{2}{9}+\frac{5}{6}$$

Since \frac{3}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{9}+\frac{5}{6}$$

Subtract 2 from 3 to get 1.

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

Least common multiple of 9 and 6 is 18. Convert \frac{1}{9} and \frac{5}{6} to fractions with denominator 18.

$$\frac{2}{18}+\frac{15}{18}$$

Since \frac{2}{18} and \frac{15}{18} have the same denominator, add them by adding their numerators.

$$\frac{2+15}{18}$$

Add 2 and 15 to get 17.

$$\frac{17}{18}$$

Factor

$$\frac{17}{2 \cdot 3 ^ {2}} = 0.9444444444444444$$