Calculate: 1 / 3+2 / 5+3 / 2 =

Expression: $$1 / 3 + 2 / 5 + 3 / 2 =$$

Least common multiple of $3$ and $5$ is $15$. Convert $\frac{1}{3}$ and $\frac{2}{5}$ to fractions with denominator $15$.

$$\frac{5}{15}+\frac{6}{15}+\frac{3}{2}$$

Since $\frac{5}{15}$ and $\frac{6}{15}$ have the same denominator, add them by adding their numerators.

$$\frac{5+6}{15}+\frac{3}{2}$$

Add $5$ and $6$ to get $11$.

$$\frac{11}{15}+\frac{3}{2}$$

Least common multiple of $15$ and $2$ is $30$. Convert $\frac{11}{15}$ and $\frac{3}{2}$ to fractions with denominator $30$.

$$\frac{22}{30}+\frac{45}{30}$$

Since $\frac{22}{30}$ and $\frac{45}{30}$ have the same denominator, add them by adding their numerators.

$$\frac{22+45}{30}$$

Add $22$ and $45$ to get $67$.

$$\frac{67}{30}$$