Solve 11/2+12/3=

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

Evaluate

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

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{5}{3} to fractions with denominator 6.

$$\frac{9}{6}+\frac{10}{6}$$

Since \frac{9}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+10}{6}$$

Add 9 and 10 to get 19.

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

Factor

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