Solve 14/27+(-5/9)+(11/-18)

$$\frac{ 14 }{ 27 } +( \frac{ -5 }{ 9 } )+( \frac{ 11 }{ -18 } )$$

Evaluate

$$-\frac{35}{54}\approx -0.648148148$$

Solution Steps

Fraction \frac{-5}{9} can be rewritten as -\frac{5}{9} by extracting the negative sign.

$$\frac{14}{27}-\frac{5}{9}+\frac{11}{-18}$$

Least common multiple of 27 and 9 is 27. Convert \frac{14}{27} and \frac{5}{9} to fractions with denominator 27.

$$\frac{14}{27}-\frac{15}{27}+\frac{11}{-18}$$

Since \frac{14}{27} and \frac{15}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-15}{27}+\frac{11}{-18}$$

Subtract 15 from 14 to get -1.

$$-\frac{1}{27}+\frac{11}{-18}$$

Fraction \frac{11}{-18} can be rewritten as -\frac{11}{18} by extracting the negative sign.

$$-\frac{1}{27}-\frac{11}{18}$$

Least common multiple of 27 and 18 is 54. Convert -\frac{1}{27} and \frac{11}{18} to fractions with denominator 54.

$$-\frac{2}{54}-\frac{33}{54}$$

Since -\frac{2}{54} and \frac{33}{54} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-33}{54}$$

Subtract 33 from -2 to get -35.

$$-\frac{35}{54}$$

Factor

$$-\frac{35}{54} = -0.6481481481481481$$