Solve 1/frac{1{35}-1/60}=

$$\frac { 1 } { \frac { 1 } { 35 } - \frac { 1 } { 60 } } =$$

Evaluate

$$84$$

Solution Steps

Least common multiple of 35 and 60 is 420. Convert \frac{1}{35} and \frac{1}{60} to fractions with denominator 420.

$$\frac{1}{\frac{12}{420}-\frac{7}{420}}$$

Since \frac{12}{420} and \frac{7}{420} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{12-7}{420}}$$

Subtract 7 from 12 to get 5.

$$\frac{1}{\frac{5}{420}}$$

Reduce the fraction \frac{5}{420} to lowest terms by extracting and canceling out 5.

$$\frac{1}{\frac{1}{84}}$$

Divide 1 by \frac{1}{84} by multiplying 1 by the reciprocal of \frac{1}{84}.

$$1\times 84$$

Multiply 1 and 84 to get 84.

$$84$$

Factor

$$2^{2}\times 3\times 7$$