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

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

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{1}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 to get 3.

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

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

$$\frac{9}{6}+\frac{8}{6}-\frac{1}{6}$$

Since \frac{9}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+8}{6}-\frac{1}{6}$$

Add 9 and 8 to get 17.

$$\frac{17}{6}-\frac{1}{6}$$

Since \frac{17}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-1}{6}$$

Subtract 1 from 17 to get 16.

$$\frac{16}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$