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It seems the image contains a math question asking to find whole-number ratios equivalent to a given ratio.

The problem presents the ratio 42:24.

### To solve this:
1. **Simplify the ratio** by dividing both numbers by their greatest common divisor (GCD).

- First, find the GCD of 42 and 24. The factors of 42 are \(1, 2, 3, 6, 7, 14, 21, 42\), and the factors of 24 are \(1, 2, 3, 4, 6, 8, 12, 24\). The largest common factor is 6.

2. **Divide both terms by 6**:
   - \( \frac{42}{6} = 7 \)
   - \( \frac{24}{6} = 4 \)

So, the simplified ratio is **7:4**.

### Equivalent ratios:
You can find equivalent ratios by multiplying both parts of the simplified ratio by the same number. For example:
- \( 7 \times 2 : 4 \times 2 = 14:8 \)
- \( 7 \times 3 : 4 \times 3 = 21:12 \)
- \( 7 \times 4 : 4 \times 4 = 28:16 \)

Thus, equivalent ratios to 42:24 are **7:4, 14:8, 21:12, 28:16**, etc.

Let me know if you need more details or further clarification! 

Would you like me to help with additional questions? Here are some related ones:
1. How do you find the greatest common divisor (GCD) of two numbers?
2. What are some real-life applications of ratios?
3. How can you check if two ratios are equivalent?
4. How do you solve a ratio problem involving fractions?
5. How can you represent ratios visually?

**Tip**: Always reduce ratios to their simplest form first, then find multiples for equivalent ratios!

Find all whole-number ratios equivalent to 42:24.

Learn how to simplify the ratio 42:24 and find all equivalent ratios. This guide explains how to use the greatest common divisor (GCD) to reduce ratios and find multiples for equivalent forms. Suitable for Grades 6-8.

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