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

$$1 / 4 + 1 / 5 + 1 / 6$$

Evaluate

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

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{5}{20}+\frac{4}{20}+\frac{1}{6}$$

Since \frac{5}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{20}+\frac{1}{6}$$

Add 5 and 4 to get 9.

$$\frac{9}{20}+\frac{1}{6}$$

Least common multiple of 20 and 6 is 60. Convert \frac{9}{20} and \frac{1}{6} to fractions with denominator 60.

$$\frac{27}{60}+\frac{10}{60}$$

Since \frac{27}{60} and \frac{10}{60} have the same denominator, add them by adding their numerators.

$$\frac{27+10}{60}$$

Add 27 and 10 to get 37.

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

Factor

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