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The problem asks to simplify the ratio of dogs to cats from 24 dogs to 12 cats. Let's break it down:

### Step 1: Simplify the Ratio
- The given ratio is 24:12.
- To simplify this ratio, divide both the number of dogs and cats by their greatest common divisor (GCD), which is 12.
  
\[
\frac{24}{12} = 2 \quad \text{and} \quad \frac{12}{12} = 1
\]

### Step 2: Final Simplified Ratio
- Therefore, the simplified ratio of dogs to cats is **2:1**. 

This means that for every 2 dogs, there is 1 cat. Any equivalent ratios can be found by multiplying both parts of the ratio by the same number, for example:
- 2:1,
- 4:2,
- 6:3,
- 8:4, and so on.

Would you like further details or more examples?

### Related Questions:
1. How do you determine the greatest common divisor of two numbers?
2. How can you generate more equivalent ratios from a given ratio?
3. What is the general method for simplifying any ratio?
4. Why is the ratio 2:1 equivalent to the original ratio of 24:12?
5. How can ratios be applied in real-life situations like a daycare?

### Tip:
When simplifying ratios, always look for the greatest common divisor (GCD) to make the ratio as simple as possible.

If there are 24 dogs and 12 cats at a pet daycare, fill out all of the possible ratios of dogs to cats that could be made.

Learn how to simplify the ratio of 24 dogs to 12 cats in a daycare setting. This step-by-step guide explains how to find the greatest common divisor (GCD) and generate equivalent ratios, suitable for students in Grades 6-8.

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