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

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

Evaluate

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

Solution Steps

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

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

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

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

Add 1 and 6 to get 7.

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

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

$$\frac{14}{18}+\frac{3}{18}$$

Since \frac{14}{18} and \frac{3}{18} have the same denominator, add them by adding their numerators.

$$\frac{14+3}{18}$$

Add 14 and 3 to get 17.

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

Factor

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