Solve 3/14+5/7-1/21

$$\frac { 3 } { 14 } + \frac { 5 } { 7 } - \frac { 1 } { 21 }$$

Evaluate

$$\frac{37}{42}\approx 0.880952381$$

Solution Steps

Least common multiple of 14 and 7 is 14. Convert \frac{3}{14} and \frac{5}{7} to fractions with denominator 14.

$$\frac{3}{14}+\frac{10}{14}-\frac{1}{21}$$

Since \frac{3}{14} and \frac{10}{14} have the same denominator, add them by adding their numerators.

$$\frac{3+10}{14}-\frac{1}{21}$$

Add 3 and 10 to get 13.

$$\frac{13}{14}-\frac{1}{21}$$

Least common multiple of 14 and 21 is 42. Convert \frac{13}{14} and \frac{1}{21} to fractions with denominator 42.

$$\frac{39}{42}-\frac{2}{42}$$

Since \frac{39}{42} and \frac{2}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-2}{42}$$

Subtract 2 from 39 to get 37.

$$\frac{37}{42}$$

Factor

$$\frac{37}{2 \cdot 3 \cdot 7} = 0.8809523809523809$$