Solve 1/6+1/5+1/17+1/2

$$\frac { 1 } { 6 } + \frac { 1 } { 5 } + \frac { 1 } { 17 } + \frac { 1 } { 2 }$$

Evaluate

$$\frac{236}{255}\approx 0.925490196$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{1}{6} and \frac{1}{5} to fractions with denominator 30.

$$\frac{5}{30}+\frac{6}{30}+\frac{1}{17}+\frac{1}{2}$$

Since \frac{5}{30} and \frac{6}{30} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{30}+\frac{1}{17}+\frac{1}{2}$$

Add 5 and 6 to get 11.

$$\frac{11}{30}+\frac{1}{17}+\frac{1}{2}$$

Least common multiple of 30 and 17 is 510. Convert \frac{11}{30} and \frac{1}{17} to fractions with denominator 510.

$$\frac{187}{510}+\frac{30}{510}+\frac{1}{2}$$

Since \frac{187}{510} and \frac{30}{510} have the same denominator, add them by adding their numerators.

$$\frac{187+30}{510}+\frac{1}{2}$$

Add 187 and 30 to get 217.

$$\frac{217}{510}+\frac{1}{2}$$

Least common multiple of 510 and 2 is 510. Convert \frac{217}{510} and \frac{1}{2} to fractions with denominator 510.

$$\frac{217}{510}+\frac{255}{510}$$

Since \frac{217}{510} and \frac{255}{510} have the same denominator, add them by adding their numerators.

$$\frac{217+255}{510}$$

Add 217 and 255 to get 472.

$$\frac{472}{510}$$

Reduce the fraction \frac{472}{510} to lowest terms by extracting and canceling out 2.

$$\frac{236}{255}$$

Factor

$$\frac{2 ^ {2} \cdot 59}{3 \cdot 5 \cdot 17} = 0.9254901960784314$$