To find equivalent ratios to \(4:15\), you can multiply or divide both terms of the ratio by the same number. Here are some examples of equivalent ratios:

1. Multiply both by 2:  
   \[
   4 \times 2 : 15 \times 2 = 8 : 30
   \]

2. Multiply both by 3:  
   \[
   4 \times 3 : 15 \times 3 = 12 : 45
   \]

3. Multiply both by 4:  
   \[
   4 \times 4 : 15 \times 4 = 16 : 60
   \]

4. Divide both by 2 (if it were possible to simplify, but in this case, it's not because 15 isn't divisible by 2).

5. Multiply both by 5:  
   \[
   4 \times 5 : 15 \times 5 = 20 : 75
   \]

Therefore, the equivalent ratios are:
- \(8:30\)
- \(12:45\)
- \(16:60\)
- \(20:75\)

Would you like further details on this process, or do you have any questions?

Here are five related questions:
1. How do you simplify a ratio?
2. Can you divide both numbers by any common factor in a ratio?
3. What are some real-life examples where ratios are used?
4. What is the difference between a proportion and a ratio?
5. How do you compare two different ratios?

**Tip:** To find equivalent ratios quickly, use multiplication or division on both terms of the ratio by the same number.

Discover how to find equivalent ratios to 4:15 by multiplying both terms of the ratio by the same number. Detailed solutions include step-by-step calculations of equivalent ratios like 8:30, 12:45, and 16:60. Suitable for students in Grades 6-8.

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