Solve (4-1/3)+11/6

$$( 4 - \frac { 1 } { 3 } ) + \frac { 11 } { 6 }$$

Evaluate

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

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{12}{3}-\frac{1}{3}+\frac{11}{6}$$

Since \frac{12}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-1}{3}+\frac{11}{6}$$

Subtract 1 from 12 to get 11.

$$\frac{11}{3}+\frac{11}{6}$$

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

$$\frac{22}{6}+\frac{11}{6}$$

Since \frac{22}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{22+11}{6}$$

Add 22 and 11 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

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