Solve 1/9-5/12-2/9

$$\frac { 1 } { 9 } - \frac { 5 } { 12 } - \frac { 2 } { 9 }$$

Evaluate

$$-\frac{19}{36}\approx -0.527777778$$

Solution Steps

Least common multiple of 9 and 12 is 36. Convert \frac{1}{9} and \frac{5}{12} to fractions with denominator 36.

$$\frac{4}{36}-\frac{15}{36}-\frac{2}{9}$$

Since \frac{4}{36} and \frac{15}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-15}{36}-\frac{2}{9}$$

Subtract 15 from 4 to get -11.

$$-\frac{11}{36}-\frac{2}{9}$$

Least common multiple of 36 and 9 is 36. Convert -\frac{11}{36} and \frac{2}{9} to fractions with denominator 36.

$$-\frac{11}{36}-\frac{8}{36}$$

Since -\frac{11}{36} and \frac{8}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-8}{36}$$

Subtract 8 from -11 to get -19.

$$-\frac{19}{36}$$

Factor

$$-\frac{19}{36} = -0.5277777777777778$$