Solve 1/4+1/6+1/9

$$\frac { 1 } { 4 } + \frac { 1 } { 6 } + \frac { 1 } { 9 }$$

Evaluate

$$\frac{19}{36}\approx 0.527777778$$

Solution Steps

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{3}{12}+\frac{2}{12}+\frac{1}{9}$$

Since \frac{3}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{12}+\frac{1}{9}$$

Add 3 and 2 to get 5.

$$\frac{5}{12}+\frac{1}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{5}{12} and \frac{1}{9} to fractions with denominator 36.

$$\frac{15}{36}+\frac{4}{36}$$

Since \frac{15}{36} and \frac{4}{36} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{36}$$

Add 15 and 4 to get 19.

$$\frac{19}{36}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 3 ^ {2}} = 0.5277777777777778$$