Solve 11/14-5/42

$$\frac{ 11 }{ 14 } - \frac{ 5 }{ 42 }$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Least common multiple of 14 and 42 is 42. Convert \frac{11}{14} and \frac{5}{42} to fractions with denominator 42.

$$\frac{33}{42}-\frac{5}{42}$$

Since \frac{33}{42} and \frac{5}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-5}{42}$$

Subtract 5 from 33 to get 28.

$$\frac{28}{42}$$

Reduce the fraction \frac{28}{42} to lowest terms by extracting and canceling out 14.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$