Solve 1/5-1/30

$$\frac{ 1 }{ 5 } - \frac{ 1 }{ 30 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 5 and 30 is 30. Convert \frac{1}{5} and \frac{1}{30} to fractions with denominator 30.

$$\frac{6}{30}-\frac{1}{30}$$

Since \frac{6}{30} and \frac{1}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{30}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$