Solve 11/9-9/12

$$\frac{ 11 }{ 9 } - \frac{ 9 }{ 12 }$$

Evaluate

$$\frac{17}{36}\approx 0.472222222$$

Solution Steps

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{11}{9}-\frac{3}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{11}{9} and \frac{3}{4} to fractions with denominator 36.

$$\frac{44}{36}-\frac{27}{36}$$

Since \frac{44}{36} and \frac{27}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-27}{36}$$

Subtract 27 from 44 to get 17.

$$\frac{17}{36}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3 ^ {2}} = 0.4722222222222222$$