To solve the subtraction \(4 \frac{5}{9} - \frac{2}{9}\), follow these steps:

1. **Convert the mixed number to an improper fraction**:
   \[
   4 \frac{5}{9} = \frac{4 \times 9 + 5}{9} = \frac{36 + 5}{9} = \frac{41}{9}
   \]

2. **Subtract the fractions**:
   \[
   \frac{41}{9} - \frac{2}{9} = \frac{41 - 2}{9} = \frac{39}{9}
   \]

3. **Simplify the fraction**:
   \[
   \frac{39}{9} = \frac{39 \div 3}{9 \div 3} = \frac{13}{3} = 4 \frac{1}{3}
   \]

So, \(4 \frac{5}{9} - \frac{2}{9} = 4 \frac{1}{3}\).

Would you like more details or have any questions? Here are 5 related questions:

1. How do you subtract mixed numbers from fractions?
2. What is the method for simplifying fractions after subtraction?
3. How do you find a common denominator when subtracting fractions with different denominators?
4. How can you check your work when subtracting fractions?
5. What is the process for converting improper fractions to mixed numbers?

**Tip:** Always simplify your fractions after performing addition or subtraction to ensure the answer is in its simplest form.

Learn how to subtract mixed numbers and fractions step-by-step with a detailed solution. This problem involves converting mixed numbers to improper fractions, subtracting fractions, and simplifying the result. Suitable for students in Grades 5-6.

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