To solve \(- 3 \frac{5}{9} \div 3\), we need to follow these steps:

### Step 1: Convert the mixed number to an improper fraction.
\[
- 3 \frac{5}{9} = - \frac{32}{9}
\]
(Multiply the whole number 3 by 9, add 5, and keep the denominator.)

### Step 2: Divide by 3.
Dividing by 3 is the same as multiplying by \(\frac{1}{3}\). So,
\[
- \frac{32}{9} \div 3 = - \frac{32}{9} \times \frac{1}{3} = - \frac{32}{27}
\]

Thus, \(- 3 \frac{5}{9} \div 3 = - \frac{32}{27}\).

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

1. How do you convert mixed numbers to improper fractions?
2. What are the steps to multiply fractions?
3. How would you convert \(- \frac{32}{27}\) into a decimal?
4. What is the process for simplifying fractions after division?
5. How can you check your answer when dividing fractions?

**Tip**: Dividing by a number is equivalent to multiplying by its reciprocal!

Learn how to solve the division problem -3 5/9 ÷ 3 with this detailed, step-by-step explanation. Discover how to convert mixed numbers into improper fractions and use reciprocal multiplication to divide fractions. Ideal for students in Grades 6-8.

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