https://file.aiquickdraw.com/mathbot/file/1726438476158b6jrzyog.jpg

The image displays a list of ratios, and the task is to determine which ratios are equivalent to each other.

Here are the ratios from the image:
- A: \( 4:7 \)
- B: \( 8:15 \)
- C: \( 16:28 \)
- D: \( 2:3 \)
- E: \( 20:35 \)

### Step-by-step analysis:

1. **Simplifying the ratios**:
   - A: \( 4:7 \) (already in simplest form)
   - B: \( 8:15 \) (already in simplest form)
   - C: \( 16:28 \), divide both terms by 4 → \( 4:7 \)
   - D: \( 2:3 \) (already in simplest form)
   - E: \( 20:35 \), divide both terms by 5 → \( 4:7 \)

### Equivalent Ratios:
- Ratios C and E simplify to \( 4:7 \), which is the same as A.

So, the equivalent ratios are:
- A: \( 4:7 \)
- C: \( 16:28 \)
- E: \( 20:35 \)

You should circle options A, C, and E.

Would you like further details or have any questions?

### Related Questions:
1. What is the process for simplifying ratios?
2. Why are A, C, and E considered equivalent?
3. Can a ratio have more than two equivalent forms?
4. How do you simplify more complex ratios?
5. Why can't ratios B and D be simplified to match A, C, or E?

**Tip**: Always look for the greatest common divisor (GCD) to simplify ratios efficiently.

Select all the ratios that are equivalent to each other. The ratios provided are 4:7, 8:15, 16:28, 2:3, and 20:35.

Find out how to determine which ratios are equivalent to each other from the list: 4:7, 8:15, 16:28, 2:3, and 20:35. Includes a step-by-step process of simplifying ratios to their simplest form, with detailed explanations. Suitable for Grades 5-7.

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