https://file.aiquickdraw.com/mathbot/file/1726525797418a2op6asn.jpg

To solve the problem of finding the length of the larger model car, we need to follow these steps:

1. **Understand the given measurements**:
   - The length of the smaller model is \(2 \frac{1}{5}\) inches.
   - The larger model will be \(5 \frac{1}{2}\) times the length of the smaller model.

2. **Convert the mixed numbers to improper fractions**:
   - \(2 \frac{1}{5}\) can be converted as follows:
     \[
     2 \frac{1}{5} = \frac{2 \times 5 + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5}
     \]
   - \(5 \frac{1}{2}\) can be converted as follows:
     \[
     5 \frac{1}{2} = \frac{5 \times 2 + 1}{2} = \frac{10 + 1}{2} = \frac{11}{2}
     \]

3. **Multiply the lengths**:
   - Multiply the length of the smaller model by the scale factor:
     \[
     \text{Length of the larger model} = \frac{11}{5} \times \frac{11}{2}
     \]

4. **Perform the multiplication**:
   \[
   \frac{11}{5} \times \frac{11}{2} = \frac{11 \times 11}{5 \times 2} = \frac{121}{10}
   \]

5. **Convert the improper fraction back to a mixed number**:
   \[
   \frac{121}{10} = 12 \frac{1}{10}
   \]

Therefore, the length of the larger model car is \(12 \frac{1}{10}\) inches, which matches option C.

Would you like more details or have any questions?

### Relative Questions:
1. How do you convert a mixed number to an improper fraction?
2. What is the process of multiplying two fractions?
3. How do you convert an improper fraction back to a mixed number?
4. What are other ways to verify the correctness of the result?
5. Can you provide a similar example with different numbers?

### Tip:
Always double-check your conversions between mixed numbers and improper fractions to avoid mistakes in calculations.

Max has a model of a sports car that is 2 1/5 inches long. He is making a larger model that will be 5 1/2 times the length of the smaller car. How long will the larger model be?

Learn how to calculate the length of a larger car model based on a smaller model and a scaling factor. This problem involves converting mixed numbers to improper fractions and multiplying fractions. Suitable for students in Grades 5-6.

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