Solve 1/7+1/1+1/2

$$\frac{ 1 }{ 7 } + \frac{ 1 }{ 1 } + \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{23}{14}\approx 1.642857143$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{1}{7}+1+\frac{1}{2}$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{1}{7}+\frac{7}{7}+\frac{1}{2}$$

Since \frac{1}{7} and \frac{7}{7} have the same denominator, add them by adding their numerators.

$$\frac{1+7}{7}+\frac{1}{2}$$

Add 1 and 7 to get 8.

$$\frac{8}{7}+\frac{1}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{8}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{16}{14}+\frac{7}{14}$$

Since \frac{16}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.

$$\frac{16+7}{14}$$

Add 16 and 7 to get 23.

$$\frac{23}{14}$$

Factor

$$\frac{23}{2 \cdot 7} = 1\frac{9}{14} = 1.6428571428571428$$