No, the ratios **4:5** and **1:4** are not equivalent.

To determine if two ratios are equivalent, we can compare them by cross-multiplying. If the cross products are equal, then the ratios are equivalent. 

For the ratios 4:5 and 1:4:
- Cross-multiply: 
  - \( 4 \times 4 = 16 \)
  - \( 5 \times 1 = 5 \)

Since \( 16 \neq 5 \), the ratios **4:5** and **1:4** are not equivalent.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you determine if two ratios are equivalent?
2. What is the process to simplify a ratio?
3. Can a ratio be expressed as a fraction?
4. How are ratios used in solving proportions?
5. What are some examples of equivalent ratios?

**Tip:** Cross-multiplying is a quick way to check if two ratios are equivalent without simplifying them first!

Discover how to determine if the ratios 4:5 and 1:4 are equivalent using the cross-multiplication method. This explanation covers key concepts in ratios and proportions, making it suitable for students in Grades 6-8.

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