Solve 15/10-11/9

$$\frac{ 15 }{ 10 } - \frac{ 11 }{ 9 }$$

Evaluate

$$\frac{5}{18}\approx 0.277777778$$

Solution Steps

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}-\frac{11}{9}$$

Least common multiple of 2 and 9 is 18. Convert \frac{3}{2} and \frac{11}{9} to fractions with denominator 18.

$$\frac{27}{18}-\frac{22}{18}$$

Since \frac{27}{18} and \frac{22}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-22}{18}$$

Subtract 22 from 27 to get 5.

$$\frac{5}{18}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$$