https://file.aiquickdraw.com/mathbot/file/17272771581293sgdnv4s.jpg

Let's solve the problem from the image.

The students fill \( 5 \frac{1}{4} \) buses, and each class fills \( \frac{3}{4} \) of a bus. We need to find how many classes are riding on the buses.

### Step-by-step solution:

1. **Convert the mixed number to an improper fraction**:
   \( 5 \frac{1}{4} \) can be converted to an improper fraction:
   \[
   5 \frac{1}{4} = \frac{21}{4}
   \]
   This means the total number of buses filled is \( \frac{21}{4} \).

2. **Set up the division**:
   Each class fills \( \frac{3}{4} \) of a bus, so we divide the total number of buses by the amount each class fills. This means we need to calculate:
   \[
   \frac{\frac{21}{4}}{\frac{3}{4}}
   \]
   
3. **Simplify the division of fractions**:
   Dividing fractions is the same as multiplying by the reciprocal. So, we rewrite the problem as:
   \[
   \frac{21}{4} \times \frac{4}{3}
   \]
   The 4's cancel out, leaving:
   \[
   \frac{21}{3} = 7
   \]

### Conclusion:
There are **7 classes** riding on the buses.

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. What if each class filled \( \frac{2}{3} \) of a bus instead?
2. How would the number of classes change if the students filled \( 6 \frac{1}{4} \) buses?
3. How do you convert other mixed numbers to improper fractions?
4. What is the process for dividing fractions in general?
5. Can you apply this method to divide two whole numbers?

**Tip:** Always convert mixed numbers to improper fractions before performing operations like division.

The students of a school fill 5 1/4 buses for a field trip. Each class fills 3/4 bus. How many classes are riding on the buses?

Solve the problem of how many classes can ride 5 1/4 buses when each class takes up 3/4 of a bus. The solution involves converting mixed numbers to improper fractions and using fraction division. Suitable for students in Grades 5-7.

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