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

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

Evaluate

$$\frac{7}{9}\approx 0.777777778$$

Solution Steps

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

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

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

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

Add 3 and 2 to get 5.

$$\frac{5}{18}+\frac{1}{2}$$

Least common multiple of 18 and 2 is 18. Convert \frac{5}{18} and \frac{1}{2} to fractions with denominator 18.

$$\frac{5}{18}+\frac{9}{18}$$

Since \frac{5}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.

$$\frac{5+9}{18}$$

Add 5 and 9 to get 14.

$$\frac{14}{18}$$

Reduce the fraction \frac{14}{18} to lowest terms by extracting and canceling out 2.

$$\frac{7}{9}$$

Factor

$$\frac{7}{3 ^ {2}} = 0.7777777777777778$$