Solve 2/6-2/7

$$\frac { 2 } { 6 } - \frac { 2 } { 7 }$$

Evaluate

$$\frac{1}{21}\approx 0.047619048$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}-\frac{2}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{1}{3} and \frac{2}{7} to fractions with denominator 21.

$$\frac{7}{21}-\frac{6}{21}$$

Since \frac{7}{21} and \frac{6}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{21}$$

Subtract 6 from 7 to get 1.

$$\frac{1}{21}$$

Factor

$$\frac{1}{3 \cdot 7} = 0.047619047619047616$$