Solve 13/2+21/3

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

Evaluate

$$\frac{29}{6}\approx 4.833333333$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 3 to get 5.

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

Multiply 2 and 3 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{5}{2}+\frac{7}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{5}{2} and \frac{7}{3} to fractions with denominator 6.

$$\frac{15}{6}+\frac{14}{6}$$

Since \frac{15}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$\frac{15+14}{6}$$

Add 15 and 14 to get 29.

$$\frac{29}{6}$$

Factor

$$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4.833333333333333$$