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The given problem involves solving for two missing numbers in an equation related to dividing fractions. Here's the equation as presented:

\[
\frac{\Box}{\Box} \div \frac{4}{9} = \frac{3}{4}
\]

We are tasked with finding the values for the two missing boxes.

### Step-by-Step Approach:
1. **Rewrite the division of fractions as multiplication**:
   When dividing by a fraction, you multiply by its reciprocal. So,
   \[
   \frac{\Box}{\Box} \times \frac{9}{4} = \frac{3}{4}
   \]

2. **Solve for the unknown fraction**:
   To isolate the unknown fraction, multiply both sides by the reciprocal of \(\frac{9}{4}\):
   \[
   \frac{\Box}{\Box} = \frac{3}{4} \times \frac{4}{9}
   \]
   Simplify the right-hand side:
   \[
   \frac{\Box}{\Box} = \frac{3 \times 4}{4 \times 9} = \frac{12}{36} = \frac{1}{3}
   \]

3. **Conclusion**:
   The missing fraction is \(\frac{1}{3}\), which means:
   \[
   \frac{1}{3} \div \frac{4}{9} = \frac{3}{4}
   \]

Thus, the answers for the missing boxes are:
1. **1**
2. **3**

These correspond to the options shown in the problem.

Would you like more details, or do you have any other questions? 

### Relative Questions:
1. How can you simplify division of fractions in general?
2. Why is multiplying by the reciprocal important in fraction division?
3. How would the solution change if the equation was \(\frac{1}{3} \div \frac{9}{4} = \frac{4}{3}\)?
4. What happens if you divide a fraction by a whole number instead?
5. Can this method be applied to dividing improper fractions?

### Tip:
Always remember, dividing by a fraction is the same as multiplying by its reciprocal!

Learn how to solve a fraction division equation where ☐ ÷ 4/9 = 3/4. The solution involves multiplying by the reciprocal and simplifying fractions. Suitable for students in Grades 6-7.

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