Solve 1/90-1/110

$$\frac{ 1 }{ 90 } - \frac{ 1 }{ 110 }$$

Evaluate

$$\frac{1}{495}\approx 0.002020202$$

Solution Steps

Least common multiple of 90 and 110 is 990. Convert \frac{1}{90} and \frac{1}{110} to fractions with denominator 990.

$$\frac{11}{990}-\frac{9}{990}$$

Since \frac{11}{990} and \frac{9}{990} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-9}{990}$$

Subtract 9 from 11 to get 2.

$$\frac{2}{990}$$

Reduce the fraction \frac{2}{990} to lowest terms by extracting and canceling out 2.

$$\frac{1}{495}$$

Factor

$$\frac{1}{3 ^ {2} \cdot 5 \cdot 11} = 0.00202020202020202$$