Solve 3/7+11/14-2/21

$$\frac { 3 } { 7 } + \frac { 11 } { 14 } - \frac { 2 } { 21 }$$

Evaluate

$$\frac{47}{42}\approx 1.119047619$$

Solution Steps

Least common multiple of 7 and 14 is 14. Convert \frac{3}{7} and \frac{11}{14} to fractions with denominator 14.

$$\frac{6}{14}+\frac{11}{14}-\frac{2}{21}$$

Since \frac{6}{14} and \frac{11}{14} have the same denominator, add them by adding their numerators.

$$\frac{6+11}{14}-\frac{2}{21}$$

Add 6 and 11 to get 17.

$$\frac{17}{14}-\frac{2}{21}$$

Least common multiple of 14 and 21 is 42. Convert \frac{17}{14} and \frac{2}{21} to fractions with denominator 42.

$$\frac{51}{42}-\frac{4}{42}$$

Since \frac{51}{42} and \frac{4}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-4}{42}$$

Subtract 4 from 51 to get 47.

$$\frac{47}{42}$$

Factor

$$\frac{47}{2 \cdot 3 \cdot 7} = 1\frac{5}{42} = 1.119047619047619$$