Solve 1/15+1/18+1/3

$$\frac{ 1 }{ 15 } + \frac{ 1 }{ 18 } + \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{41}{90}\approx 0.455555556$$

Solution Steps

Least common multiple of 15 and 18 is 90. Convert \frac{1}{15} and \frac{1}{18} to fractions with denominator 90.

$$\frac{6}{90}+\frac{5}{90}+\frac{1}{3}$$

Since \frac{6}{90} and \frac{5}{90} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{90}+\frac{1}{3}$$

Add 6 and 5 to get 11.

$$\frac{11}{90}+\frac{1}{3}$$

Least common multiple of 90 and 3 is 90. Convert \frac{11}{90} and \frac{1}{3} to fractions with denominator 90.

$$\frac{11}{90}+\frac{30}{90}$$

Since \frac{11}{90} and \frac{30}{90} have the same denominator, add them by adding their numerators.

$$\frac{11+30}{90}$$

Add 11 and 30 to get 41.

$$\frac{41}{90}$$

Factor

$$\frac{41}{2 \cdot 3 ^ {2} \cdot 5} = 0.45555555555555555$$