Solve (4/3+1/2-1/6)

$$( \frac { 4 } { 3 } + \frac { 1 } { 2 } - \frac { 1 } { 6 } )$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{8}{6}+\frac{3}{6}-\frac{1}{6}$$

Since \frac{8}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{8+3}{6}-\frac{1}{6}$$

Add 8 and 3 to get 11.

$$\frac{11}{6}-\frac{1}{6}$$

Since \frac{11}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-1}{6}$$

Subtract 1 from 11 to get 10.

$$\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$