Solve 5/7+1/14-8/21

$$\frac{ 5 }{ 7 } + \frac{ 1 }{ 14 } - \frac{ 8 }{ 21 }$$

Evaluate

$$\frac{17}{42}\approx 0.404761905$$

Solution Steps

Least common multiple of 7 and 14 is 14. Convert \frac{5}{7} and \frac{1}{14} to fractions with denominator 14.

$$\frac{10}{14}+\frac{1}{14}-\frac{8}{21}$$

Since \frac{10}{14} and \frac{1}{14} have the same denominator, add them by adding their numerators.

$$\frac{10+1}{14}-\frac{8}{21}$$

Add 10 and 1 to get 11.

$$\frac{11}{14}-\frac{8}{21}$$

Least common multiple of 14 and 21 is 42. Convert \frac{11}{14} and \frac{8}{21} to fractions with denominator 42.

$$\frac{33}{42}-\frac{16}{42}$$

Since \frac{33}{42} and \frac{16}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-16}{42}$$

Subtract 16 from 33 to get 17.

$$\frac{17}{42}$$

Factor

$$\frac{17}{2 \cdot 3 \cdot 7} = 0.40476190476190477$$