The expression $\frac{1}{3} + \frac{3}{2}$ can be solved as follows:

1. Find a common denominator. The denominators are 3 and 2, and the least common denominator (LCD) is 6.
2. Convert both fractions to have this common denominator: $\frac{1}{3} = \frac{2}{6}, \quad \frac{3}{2} = \frac{9}{6}$
3. Add the fractions: $\frac{2}{6} + \frac{9}{6} = \frac{11}{6}$

Thus, $\frac{1}{3} + \frac{3}{2} = \frac{11}{6}$.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you subtract two fractions with different denominators?
2. What is the result of $\frac{5}{6} + \frac{2}{3}$?
3. How do you simplify improper fractions into mixed numbers?
4. Can fractions with different denominators be multiplied directly?
5. How can fractions be converted into decimal form?

Tip: When adding fractions, always find the least common denominator to simplify the process.