Solve 1/2*5+1/5*8+1/8*11

$$\frac { 1 } { 2 \times 5 } + \frac { 1 } { 5 \times 8 } + \frac { 1 } { 8 \times 11 }$$

Evaluate

$$\frac{3}{22}\approx 0.136363636$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{1}{10}+\frac{1}{5\times 8}+\frac{1}{8\times 11}$$

Multiply 5 and 8 to get 40.

$$\frac{1}{10}+\frac{1}{40}+\frac{1}{8\times 11}$$

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

$$\frac{4}{40}+\frac{1}{40}+\frac{1}{8\times 11}$$

Since \frac{4}{40} and \frac{1}{40} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{40}+\frac{1}{8\times 11}$$

Add 4 and 1 to get 5.

$$\frac{5}{40}+\frac{1}{8\times 11}$$

Reduce the fraction \frac{5}{40} to lowest terms by extracting and canceling out 5.

$$\frac{1}{8}+\frac{1}{8\times 11}$$

Multiply 8 and 11 to get 88.

$$\frac{1}{8}+\frac{1}{88}$$

Least common multiple of 8 and 88 is 88. Convert \frac{1}{8} and \frac{1}{88} to fractions with denominator 88.

$$\frac{11}{88}+\frac{1}{88}$$

Since \frac{11}{88} and \frac{1}{88} have the same denominator, add them by adding their numerators.

$$\frac{11+1}{88}$$

Add 11 and 1 to get 12.

$$\frac{12}{88}$$

Reduce the fraction \frac{12}{88} to lowest terms by extracting and canceling out 4.

$$\frac{3}{22}$$

Factor

$$\frac{3}{2 \cdot 11} = 0.13636363636363635$$