Solve 3/2+1/3+5/6

$$\frac { 3 } { 2 } + \frac { 1 } { 3 } + \frac { 5 } { 6 }$$

Evaluate

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

Solution Steps

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

$$\frac{9}{6}+\frac{2}{6}+\frac{5}{6}$$

Since \frac{9}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+2}{6}+\frac{5}{6}$$

Add 9 and 2 to get 11.

$$\frac{11}{6}+\frac{5}{6}$$

Since \frac{11}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{11+5}{6}$$

Add 11 and 5 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

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