Solve 1/1/5-1/30

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

Evaluate

$$6$$

Solution Steps

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

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

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

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

Subtract 1 from 6 to get 5.

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

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

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

Divide 1 by \frac{1}{6} by multiplying 1 by the reciprocal of \frac{1}{6}.

$$1\times 6$$

Multiply 1 and 6 to get 6.

$$6$$

Factor

$$2\times 3$$