Solve 1/6+1/5+1/4=

$$\frac { 1 } { 6 } + \frac { 1 } { 5 } + \frac { 1 } { 4 } =$$

Evaluate

$$\frac{37}{60}\approx 0.616666667$$

Solution Steps

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

$$\frac{5}{30}+\frac{6}{30}+\frac{1}{4}$$

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

$$\frac{5+6}{30}+\frac{1}{4}$$

Add 5 and 6 to get 11.

$$\frac{11}{30}+\frac{1}{4}$$

Least common multiple of 30 and 4 is 60. Convert \frac{11}{30} and \frac{1}{4} to fractions with denominator 60.

$$\frac{22}{60}+\frac{15}{60}$$

Since \frac{22}{60} and \frac{15}{60} have the same denominator, add them by adding their numerators.

$$\frac{22+15}{60}$$

Add 22 and 15 to get 37.

$$\frac{37}{60}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3 \cdot 5} = 0.6166666666666667$$