Solve -11/18+(-22/9)

$$- \frac{ 11 }{ 18 } +(-2 \frac{ 2 }{ 9 } )$$

Evaluate

$$-\frac{17}{6}\approx -2.833333333$$

Solution Steps

Multiply 2 and 9 to get 18.

$$-\frac{11}{18}-\frac{18+2}{9}$$

Add 18 and 2 to get 20.

$$-\frac{11}{18}-\frac{20}{9}$$

Least common multiple of 18 and 9 is 18. Convert -\frac{11}{18} and \frac{20}{9} to fractions with denominator 18.

$$-\frac{11}{18}-\frac{40}{18}$$

Since -\frac{11}{18} and \frac{40}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-40}{18}$$

Subtract 40 from -11 to get -51.

$$\frac{-51}{18}$$

Reduce the fraction \frac{-51}{18} to lowest terms by extracting and canceling out 3.

$$-\frac{17}{6}$$

Factor

$$-\frac{17}{6} = -2\frac{5}{6} = -2.8333333333333335$$