Solve 1/11+1/2+1/7

$$\frac{ 1 }{ 11 } + \frac{ 1 }{ 2 } + \frac{ 1 }{ 7 }$$

Evaluate

$$\frac{113}{154}\approx 0.733766234$$

Solution Steps

Least common multiple of 11 and 2 is 22. Convert \frac{1}{11} and \frac{1}{2} to fractions with denominator 22.

$$\frac{2}{22}+\frac{11}{22}+\frac{1}{7}$$

Since \frac{2}{22} and \frac{11}{22} have the same denominator, add them by adding their numerators.

$$\frac{2+11}{22}+\frac{1}{7}$$

Add 2 and 11 to get 13.

$$\frac{13}{22}+\frac{1}{7}$$

Least common multiple of 22 and 7 is 154. Convert \frac{13}{22} and \frac{1}{7} to fractions with denominator 154.

$$\frac{91}{154}+\frac{22}{154}$$

Since \frac{91}{154} and \frac{22}{154} have the same denominator, add them by adding their numerators.

$$\frac{91+22}{154}$$

Add 91 and 22 to get 113.

$$\frac{113}{154}$$

Factor

$$\frac{113}{2 \cdot 7 \cdot 11} = 0.7337662337662337$$