Solve 22/3+31/6

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

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

Multiply 2 and 3 to get 6.

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

Add 6 and 2 to get 8.

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

Multiply 3 and 6 to get 18.

$$\frac{8}{3}+\frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{8}{3}+\frac{19}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{8}{3} and \frac{19}{6} to fractions with denominator 6.

$$\frac{16}{6}+\frac{19}{6}$$

Since \frac{16}{6} and \frac{19}{6} have the same denominator, add them by adding their numerators.

$$\frac{16+19}{6}$$

Add 16 and 19 to get 35.

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$