To solve the expression \( 3 \frac{3}{6} \div 2 \frac{2}{4} \), follow these steps:

1. **Convert mixed numbers to improper fractions**:
   - \( 3 \frac{3}{6} \) becomes \( \frac{3 \times 6 + 3}{6} = \frac{18 + 3}{6} = \frac{21}{6} \).
   - \( 2 \frac{2}{4} \) becomes \( \frac{2 \times 4 + 2}{4} = \frac{8 + 2}{4} = \frac{10}{4} \).

2. **Rewrite the division as a multiplication by the reciprocal**:
   \[
   \frac{21}{6} \div \frac{10}{4} = \frac{21}{6} \times \frac{4}{10}
   \]

3. **Multiply the fractions**:
   \[
   \frac{21 \times 4}{6 \times 10} = \frac{84}{60}
   \]

4. **Simplify the fraction**:
   - The greatest common divisor (GCD) of 84 and 60 is 12.
   - Divide the numerator and the denominator by 12:
   \[
   \frac{84 \div 12}{60 \div 12} = \frac{7}{5}
   \]

So, the final answer is \( \frac{7}{5} \), or as a mixed number, \( 1 \frac{2}{5} \).

Would you like any further details or explanations?

Here are some related questions:
1. How do you convert between improper fractions and mixed numbers?
2. What is the process of finding the greatest common divisor (GCD)?
3. How do you simplify fractions?
4. How can division of fractions be explained using a visual model?
5. What are the rules for dividing fractions?

**Tip**: Always simplify fractions to their lowest terms for the final answer.

Learn how to solve the division of fractions problem 3 3/6 ÷ 2 2/4 with a detailed step-by-step solution. This problem covers converting mixed numbers to improper fractions, division of fractions using reciprocal multiplication, and simplifying fractions to their lowest terms. Suitable for students in Grades 5-7.

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