To divide 9 by \(-4 \frac{1}{2}\), we can follow these steps:

1. **Convert the mixed number to an improper fraction**:
   \[
   -4 \frac{1}{2} = -\left(\frac{9}{2}\right)
   \]
   
2. **Set up the division**:
   \[
   9 \div -\frac{9}{2}
   \]
   
3. **Multiply by the reciprocal**:
   Dividing by a fraction is the same as multiplying by its reciprocal.
   \[
   9 \times -\frac{2}{9} = -\frac{18}{9}
   \]

4. **Simplify the fraction**:
   \[
   -\frac{18}{9} = -2
   \]

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

Would you like more details or have any questions?

Here are 5 related questions:
1. What is \( 12 \div -4 \frac{1}{2} \)?
2. How do you divide fractions by whole numbers?
3. Can you simplify \( 15 \div -7 \frac{1}{2} \)?
4. What is the result of \( -9 \div 3 \frac{1}{4} \)?
5. How would you convert a decimal into a mixed number?

**Tip:** Always remember that dividing by a fraction is the same as multiplying by its reciprocal.

Explore how to divide 9 by the mixed number -4 1/2 using fraction conversion and the reciprocal method. This detailed solution simplifies the problem and is suitable for students in Grades 6-8.

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