Solve 1/2+2/7+5/14

$$\frac{ 1 }{ 2 } + \frac{ 2 }{ 7 } + \frac{ 5 }{ 14 }$$

Evaluate

$$\frac{8}{7}\approx 1.142857143$$

Solution Steps

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

$$\frac{7}{14}+\frac{4}{14}+\frac{5}{14}$$

Since \frac{7}{14} and \frac{4}{14} have the same denominator, add them by adding their numerators.

$$\frac{7+4}{14}+\frac{5}{14}$$

Add 7 and 4 to get 11.

$$\frac{11}{14}+\frac{5}{14}$$

Since \frac{11}{14} and \frac{5}{14} have the same denominator, add them by adding their numerators.

$$\frac{11+5}{14}$$

Add 11 and 5 to get 16.

$$\frac{16}{14}$$

Reduce the fraction \frac{16}{14} to lowest terms by extracting and canceling out 2.

$$\frac{8}{7}$$

Factor

$$\frac{2 ^ {3}}{7} = 1\frac{1}{7} = 1.1428571428571428$$