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To add and simplify the given fractions \( \frac{4}{9} + \frac{2}{9} \), we follow these steps:

1. Since the fractions have the same denominator, we can add the numerators directly:
   \[
   \frac{4}{9} + \frac{2}{9} = \frac{4 + 2}{9} = \frac{6}{9}
   \]

2. Simplify \( \frac{6}{9} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
   \[
   \frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}
   \]

So, the simplified result is \( \frac{2}{3} \).

Would you like any further details or have questions about the steps? Here are some related questions:

1. How do you find the greatest common divisor of two numbers?
2. What happens if the fractions have different denominators?
3. How can fractions be added if they are improper or mixed numbers?
4. What are some methods to simplify fractions?
5. How can you convert improper fractions to mixed numbers?

**Tip:** When adding fractions with the same denominator, only add the numerators and keep the denominator the same!

Learn how to add and simplify the fractions 4/9 and 2/9 in this step-by-step solution. The problem covers the addition of fractions with the same denominator and simplifying the result. Perfect for students in Grades 4-6.

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