Solve 1/8+1/10+1/15

$$\frac { 1 } { 8 } + \frac { 1 } { 10 } + \frac { 1 } { 15 }$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Least common multiple of 8 and 10 is 40. Convert \frac{1}{8} and \frac{1}{10} to fractions with denominator 40.

$$\frac{5}{40}+\frac{4}{40}+\frac{1}{15}$$

Since \frac{5}{40} and \frac{4}{40} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{40}+\frac{1}{15}$$

Add 5 and 4 to get 9.

$$\frac{9}{40}+\frac{1}{15}$$

Least common multiple of 40 and 15 is 120. Convert \frac{9}{40} and \frac{1}{15} to fractions with denominator 120.

$$\frac{27}{120}+\frac{8}{120}$$

Since \frac{27}{120} and \frac{8}{120} have the same denominator, add them by adding their numerators.

$$\frac{27+8}{120}$$

Add 27 and 8 to get 35.

$$\frac{35}{120}$$

Reduce the fraction \frac{35}{120} to lowest terms by extracting and canceling out 5.

$$\frac{7}{24}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3} = 0.2916666666666667$$