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

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

Evaluate

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

Solution Steps

Least common multiple of 9 and 2 is 18. Convert \frac{1}{9} and \frac{1}{2} to fractions with denominator 18.

$$\frac{2}{18}+\frac{9}{18}+\frac{1}{3}$$

Since \frac{2}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.

$$\frac{2+9}{18}+\frac{1}{3}$$

Add 2 and 9 to get 11.

$$\frac{11}{18}+\frac{1}{3}$$

Least common multiple of 18 and 3 is 18. Convert \frac{11}{18} and \frac{1}{3} to fractions with denominator 18.

$$\frac{11}{18}+\frac{6}{18}$$

Since \frac{11}{18} and \frac{6}{18} have the same denominator, add them by adding their numerators.

$$\frac{11+6}{18}$$

Add 11 and 6 to get 17.

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

Factor

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