Solve 1/72-1/99

$$\frac{ 1 }{ 72 } - \frac{ 1 }{ 99 }$$

Evaluate

$$\frac{1}{264}\approx 0.003787879$$

Solution Steps

Least common multiple of 72 and 99 is 792. Convert \frac{1}{72} and \frac{1}{99} to fractions with denominator 792.

$$\frac{11}{792}-\frac{8}{792}$$

Since \frac{11}{792} and \frac{8}{792} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-8}{792}$$

Subtract 8 from 11 to get 3.

$$\frac{3}{792}$$

Reduce the fraction \frac{3}{792} to lowest terms by extracting and canceling out 3.

$$\frac{1}{264}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3 \cdot 11} = 0.003787878787878788$$