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.