Solve 7/11-2/9

$$\frac { 7 } { 11 } - \frac { 2 } { 9 }$$

Evaluate

$$\frac{41}{99}\approx 0.414141414$$

Solution Steps

Least common multiple of 11 and 9 is 99. Convert \frac{7}{11} and \frac{2}{9} to fractions with denominator 99.

$$\frac{63}{99}-\frac{22}{99}$$

Since \frac{63}{99} and \frac{22}{99} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-22}{99}$$

Subtract 22 from 63 to get 41.

$$\frac{41}{99}$$

Factor

$$\frac{41}{3 ^ {2} \cdot 11} = 0.41414141414141414$$