Solve 8-2/3-11/6

$$8- \frac{ 2 }{ 3 } - \frac{ 11 }{ 6 }$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Convert 8 to fraction \frac{24}{3}.

$$\frac{24}{3}-\frac{2}{3}-\frac{11}{6}$$

Since \frac{24}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-2}{3}-\frac{11}{6}$$

Subtract 2 from 24 to get 22.

$$\frac{22}{3}-\frac{11}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{22}{3} and \frac{11}{6} to fractions with denominator 6.

$$\frac{44}{6}-\frac{11}{6}$$

Since \frac{44}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-11}{6}$$

Subtract 11 from 44 to get 33.

$$\frac{33}{6}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$