Solve 21/3+5/6

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

Evaluate

$$\frac{19}{6}\approx 3.166666667$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{7}{3}+\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{7}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{14}{6}+\frac{5}{6}$$

Since \frac{14}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{14+5}{6}$$

Add 14 and 5 to get 19.

$$\frac{19}{6}$$

Factor

$$\frac{19}{2 \cdot 3} = 3\frac{1}{6} = 3.1666666666666665$$