https://file.aiquickdraw.com/mathbot/file/1726858674709rrzcljvd.jpg

The task in the image asks to select all ratios equivalent to \(7:2\). 

To check the equivalency of ratios, you can simplify or multiply the original ratio by a constant to match the given choices.

- \(7:2\) simplified is already in its simplest form.
  
Now, let's evaluate the choices:

1. **28:8**:  
   \[
   \frac{28}{8} = \frac{7}{2} 
   \]
   This is equivalent to \(7:2\), so this is correct.

2. **12:1**:  
   \[
   \frac{12}{1} \neq \frac{7}{2} 
   \]
   This is **not** equivalent to \(7:2\).

3. **21:6**:  
   \[
   \frac{21}{6} = \frac{7}{2}
   \]
   This is equivalent to \(7:2\), so this is correct.

Thus, the correct answers are **28:8** and **21:6**.

Let me know if you'd like further details on equivalent ratios! Here are some related questions:

1. How do you simplify a ratio?
2. What are the steps to check if two ratios are equivalent?
3. Can two ratios with different denominators still be equivalent?
4. What happens if you multiply or divide both terms of a ratio by a number?
5. Can you explain the concept of proportion using equivalent ratios?

**Tip:** You can always check if two ratios are equivalent by cross-multiplying their terms and seeing if the products are equal.

Learn how to identify equivalent ratios with examples like 7:2 and 28:8 or 21:6. This task involves checking ratios using cross-multiplication and understanding proportional relationships. Suitable for Grade 6 math learners.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation