Solve 19/18-5/6-1/9

$$\frac { 19 } { 18 } - \frac { 5 } { 6 } - \frac { 1 } { 9 }$$

Evaluate

$$\frac{1}{9}\approx 0.111111111$$

Solution Steps

Least common multiple of 18 and 6 is 18. Convert \frac{19}{18} and \frac{5}{6} to fractions with denominator 18.

$$\frac{19}{18}-\frac{15}{18}-\frac{1}{9}$$

Since \frac{19}{18} and \frac{15}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-15}{18}-\frac{1}{9}$$

Subtract 15 from 19 to get 4.

$$\frac{4}{18}-\frac{1}{9}$$

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}-\frac{1}{9}$$

Since \frac{2}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{9}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{9}$$

Factor

$$\frac{1}{3 ^ {2}} = 0.1111111111111111$$