Solve 1/3+1/4+1/5

$$\frac{ 1 }{ 3 } + \frac{ 1 }{ 4 } + \frac{ 1 }{ 5 }$$

Evaluate

$$\frac{47}{60}\approx 0.783333333$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{4}{12}+\frac{3}{12}+\frac{1}{5}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{12}+\frac{1}{5}$$

Add 4 and 3 to get 7.

$$\frac{7}{12}+\frac{1}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{7}{12} and \frac{1}{5} to fractions with denominator 60.

$$\frac{35}{60}+\frac{12}{60}$$

Since \frac{35}{60} and \frac{12}{60} have the same denominator, add them by adding their numerators.

$$\frac{35+12}{60}$$

Add 35 and 12 to get 47.

$$\frac{47}{60}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3 \cdot 5} = 0.7833333333333333$$