$$\frac{5}{15}+\frac{6}{15}+\frac{3}{2}$$
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 $67$.$$\frac{67}{30}$$