Solve 19/18-7/18-2/18

$$\frac { 19 } { 18 } - \frac { 7 } { 18 } - \frac { 2 } { 18 }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Since \frac{19}{18} and \frac{7}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-7}{18}-\frac{2}{18}$$

Subtract 7 from 19 to get 12.

$$\frac{12}{18}-\frac{2}{18}$$

Reduce the fraction \frac{12}{18} to lowest terms by extracting and canceling out 6.

$$\frac{2}{3}-\frac{2}{18}$$

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

$$\frac{2}{3}-\frac{1}{9}$$

Least common multiple of 3 and 9 is 9. Convert \frac{2}{3} and \frac{1}{9} to fractions with denominator 9.

$$\frac{6}{9}-\frac{1}{9}$$

Since \frac{6}{9} and \frac{1}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{9}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$