Solve 1/1*2+1/2*4+1/2*4*6

$$\frac{ 1 }{ 1 \times 2 } + \frac{ 1 }{ 2 \times 4 } + \frac{ 1 }{ 2 \times 4 \times 6 }$$

Evaluate

$$\frac{31}{48}\approx 0.645833333$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{1}{2}+\frac{1}{2\times 4}+\frac{1}{2\times 4\times 6}$$

Multiply 2 and 4 to get 8.

$$\frac{1}{2}+\frac{1}{8}+\frac{1}{2\times 4\times 6}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

$$\frac{4}{8}+\frac{1}{8}+\frac{1}{2\times 4\times 6}$$

Since \frac{4}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+1}{8}+\frac{1}{2\times 4\times 6}$$

Add 4 and 1 to get 5.

$$\frac{5}{8}+\frac{1}{2\times 4\times 6}$$

Multiply 2 and 4 to get 8.

$$\frac{5}{8}+\frac{1}{8\times 6}$$

Multiply 8 and 6 to get 48.

$$\frac{5}{8}+\frac{1}{48}$$

Least common multiple of 8 and 48 is 48. Convert \frac{5}{8} and \frac{1}{48} to fractions with denominator 48.

$$\frac{30}{48}+\frac{1}{48}$$

Since \frac{30}{48} and \frac{1}{48} have the same denominator, add them by adding their numerators.

$$\frac{30+1}{48}$$

Add 30 and 1 to get 31.

$$\frac{31}{48}$$

Factor

$$\frac{31}{2 ^ {4} \cdot 3} = 0.6458333333333334$$