Solve 1/6-1/7

$$\frac { 1 } { 6 } - \frac { 1 } { 7 }$$

Evaluate

$$\frac{1}{42}\approx 0.023809524$$

Solution Steps

Least common multiple of 6 and 7 is 42. Convert \frac{1}{6} and \frac{1}{7} to fractions with denominator 42.

$$\frac{7}{42}-\frac{6}{42}$$

Since \frac{7}{42} and \frac{6}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{42}$$

Subtract 6 from 7 to get 1.

$$\frac{1}{42}$$

Factor

$$\frac{1}{2 \cdot 3 \cdot 7} = 0.023809523809523808$$