Solve 11/2+32/3

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

Evaluate

$$\frac{31}{6}\approx 5.166666667$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 3 and 3 to get 9.

$$\frac{3}{2}+\frac{9+2}{3}$$

Add 9 and 2 to get 11.

$$\frac{3}{2}+\frac{11}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{11}{3} to fractions with denominator 6.

$$\frac{9}{6}+\frac{22}{6}$$

Since \frac{9}{6} and \frac{22}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+22}{6}$$

Add 9 and 22 to get 31.

$$\frac{31}{6}$$

Factor

$$\frac{31}{2 \cdot 3} = 5\frac{1}{6} = 5.166666666666667$$