Solve 1/20+1/30+1/40

$$\frac{ 1 }{ 20 } + \frac{ 1 }{ 30 } + \frac{ 1 }{ 40 }$$

Evaluate

$$\frac{13}{120}\approx 0.108333333$$

Solution Steps

Least common multiple of 20 and 30 is 60. Convert \frac{1}{20} and \frac{1}{30} to fractions with denominator 60.

$$\frac{3}{60}+\frac{2}{60}+\frac{1}{40}$$

Since \frac{3}{60} and \frac{2}{60} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{60}+\frac{1}{40}$$

Add 3 and 2 to get 5.

$$\frac{5}{60}+\frac{1}{40}$$

Reduce the fraction \frac{5}{60} to lowest terms by extracting and canceling out 5.

$$\frac{1}{12}+\frac{1}{40}$$

Least common multiple of 12 and 40 is 120. Convert \frac{1}{12} and \frac{1}{40} to fractions with denominator 120.

$$\frac{10}{120}+\frac{3}{120}$$

Since \frac{10}{120} and \frac{3}{120} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{120}$$

Add 10 and 3 to get 13.

$$\frac{13}{120}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3 \cdot 5} = 0.10833333333333334$$