1. **State the problem:** Simplify the expression $\frac{2}{3} + \frac{3}{6}$.\n\n2. **Recall the rule for adding fractions:** To add fractions, they must have a common denominator. The formula is $\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}$.\n\n3. **Find a common denominator:** The denominators are 3 and 6. The least common denominator (LCD) is 6.\n\n4. **Convert fractions to have the LCD:**\n$\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$\n\n5. **Add the fractions:**\n$\frac{4}{6} + \frac{3}{6} = \frac{4 + 3}{6} = \frac{7}{6}$\n\n6. **Simplify if possible:** $\frac{7}{6}$ is an improper fraction and can be written as $1 \frac{1}{6}$, but both forms are correct.\n\n**Final answer:** $\frac{7}{6}$ or $1 \frac{1}{6}$