Solve 1/36+1/45+1/60

$$\frac { 1 } { 36 } + \frac { 1 } { 45 } + \frac { 1 } { 60 }$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Least common multiple of 36 and 45 is 180. Convert \frac{1}{36} and \frac{1}{45} to fractions with denominator 180.

$$\frac{5}{180}+\frac{4}{180}+\frac{1}{60}$$

Since \frac{5}{180} and \frac{4}{180} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{180}+\frac{1}{60}$$

Add 5 and 4 to get 9.

$$\frac{9}{180}+\frac{1}{60}$$

Reduce the fraction \frac{9}{180} to lowest terms by extracting and canceling out 9.

$$\frac{1}{20}+\frac{1}{60}$$

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

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

Since \frac{3}{60} and \frac{1}{60} have the same denominator, add them by adding their numerators.

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

Add 3 and 1 to get 4.

$$\frac{4}{60}$$

Reduce the fraction \frac{4}{60} to lowest terms by extracting and canceling out 4.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$