Solve (1/3-1/14)

$$( \frac{ 1 }{ 3 } - \frac{ 1 }{ 14 } )$$

Evaluate

$$\frac{11}{42}\approx 0.261904762$$

Solution Steps

Least common multiple of 3 and 14 is 42. Convert \frac{1}{3} and \frac{1}{14} to fractions with denominator 42.

$$\frac{14}{42}-\frac{3}{42}$$

Since \frac{14}{42} and \frac{3}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-3}{42}$$

Subtract 3 from 14 to get 11.

$$\frac{11}{42}$$

Factor

$$\frac{11}{2 \cdot 3 \cdot 7} = 0.2619047619047619$$