Solve 2/9-2/11

$$\frac { 2 } { 9 } - \frac { 2 } { 11 }$$

Evaluate

$$\frac{4}{99}\approx 0.04040404$$

Solution Steps

Least common multiple of 9 and 11 is 99. Convert \frac{2}{9} and \frac{2}{11} to fractions with denominator 99.

$$\frac{22}{99}-\frac{18}{99}$$

Since \frac{22}{99} and \frac{18}{99} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-18}{99}$$

Subtract 18 from 22 to get 4.

$$\frac{4}{99}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2} \cdot 11} = 0.04040404040404041$$