Solve 11/2+21/3

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

Evaluate

$$\frac{23}{6}\approx 3.833333333$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 2 and 3 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{3}{2}+\frac{7}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{7}{3} to fractions with denominator 6.

$$\frac{9}{6}+\frac{14}{6}$$

Since \frac{9}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+14}{6}$$

Add 9 and 14 to get 23.

$$\frac{23}{6}$$

Factor

$$\frac{23}{2 \cdot 3} = 3\frac{5}{6} = 3.8333333333333335$$