https://file.aiquickdraw.com/mathbot/file/1729774464992p01bqot7.jpg

Let's analyze the problem step by step.

You need to identify which ratios from the list are equivalent to \(12:3\). First, simplify \(12:3\):

\[
\frac{12}{3} = 4
\]

This means the simplified ratio is \(4:1\). Now, let's check each option:

1. **\(6:1\)**: \(\frac{6}{1} = 6\) → Not equivalent to \(4:1\).
2. **\(1:4\)**: \(\frac{1}{4} = 0.25\) → Not equivalent to \(4:1\).
3. **\(4:1\)**: \(\frac{4}{1} = 4\) → Equivalent to \(4:1\).
4. **\(24:6\)**: \(\frac{24}{6} = 4\) → Equivalent to \(4:1\).
5. **\(15:6\)**: \(\frac{15}{6} = 2.5\) → Not equivalent to \(4:1\).
6. **\(1200:300\)**: \(\frac{1200}{300} = 4\) → Equivalent to \(4:1\).
7. **\(112:13\)**: \(\frac{112}{13} \approx 8.615\) → Not equivalent to \(4:1\).

### Correct Answers:
- \(4:1\)
- \(24:6\)
- \(1200:300\)

Do you want more details or have any questions?

Here are 5 related questions to explore:
1. What is the definition of equivalent ratios?
2. How do you simplify a ratio step by step?
3. Why is ratio comparison important in real-life applications?
4. Can all ratios be simplified, and how do you know when a ratio is in its simplest form?
5. How can you check if two ratios are proportional?

**Tip:** Always reduce ratios to their simplest form by dividing both terms by their greatest common divisor (GCD).

Select all the ratios that are equivalent to 12:3.

Learn how to find equivalent ratios to 12:3 by simplifying and comparing ratios. This problem explores the concept of ratios and proportions, teaching you how to check for equivalency. Suitable for students in Grades 6-8.

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