Solve 1/3+(-11/6)

$$\frac { 1 } { 3 } + ( - \frac { 11 } { 6 } )$$

Evaluate

$$-\frac{3}{2}=-1.5$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{11}{6} to fractions with denominator 6.

$$\frac{2}{6}-\frac{11}{6}$$

Since \frac{2}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-11}{6}$$

Subtract 11 from 2 to get -9.

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

Reduce the fraction \frac{-9}{6} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{3}{2} = -1\frac{1}{2} = -1.5$$