Solve 1/9-28/18+2/6

$$\frac { 1 } { 9 } - \frac { 28 } { 18 } + \frac { 2 } { 6 }$$

Evaluate

$$-\frac{10}{9}\approx -1.111111111$$

Solution Steps

Reduce the fraction \frac{28}{18} to lowest terms by extracting and canceling out 2.

$$\frac{1}{9}-\frac{14}{9}+\frac{2}{6}$$

Since \frac{1}{9} and \frac{14}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-14}{9}+\frac{2}{6}$$

Subtract 14 from 1 to get -13.

$$-\frac{13}{9}+\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{13}{9}+\frac{1}{3}$$

Least common multiple of 9 and 3 is 9. Convert -\frac{13}{9} and \frac{1}{3} to fractions with denominator 9.

$$-\frac{13}{9}+\frac{3}{9}$$

Since -\frac{13}{9} and \frac{3}{9} have the same denominator, add them by adding their numerators.

$$\frac{-13+3}{9}$$

Add -13 and 3 to get -10.

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

Factor

$$-\frac{10}{9} = -1\frac{1}{9} = -1.1111111111111112$$