Solve 1/2-1/42

$$\frac{ 1 }{ 2 } - \frac{ 1 }{ 42 }$$

Evaluate

$$\frac{10}{21}\approx 0.476190476$$

Solution Steps

Least common multiple of 2 and 42 is 42. Convert \frac{1}{2} and \frac{1}{42} to fractions with denominator 42.

$$\frac{21}{42}-\frac{1}{42}$$

Since \frac{21}{42} and \frac{1}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-1}{42}$$

Subtract 1 from 21 to get 20.

$$\frac{20}{42}$$

Reduce the fraction \frac{20}{42} to lowest terms by extracting and canceling out 2.

$$\frac{10}{21}$$

Factor

$$\frac{2 \cdot 5}{3 \cdot 7} = 0.47619047619047616$$