Solve 1/9-1/11

$$\frac { 1 } { 9 } - \frac { 1 } { 11 }$$

Evaluate

$$\frac{2}{99}\approx 0.02020202$$

Solution Steps

Least common multiple of 9 and 11 is 99. Convert \frac{1}{9} and \frac{1}{11} to fractions with denominator 99.

$$\frac{11}{99}-\frac{9}{99}$$

Since \frac{11}{99} and \frac{9}{99} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-9}{99}$$

Subtract 9 from 11 to get 2.

$$\frac{2}{99}$$

Factor

$$\frac{2}{3 ^ {2} \cdot 11} = 0.020202020202020204$$