https://file.aiquickdraw.com/mathbot/file/17286621491763n9yhljf.jpg

To determine which ratios are equivalent to 13:3, we need to simplify each of the given ratios and check if they are proportional to 13:3.

### Given Ratios:
1. \( 117:27 \)
2. \( 36:5 \)
3. \( 91:21 \)

### Step-by-step simplification:

1. **117:27**
   - Simplify \( 117 \div 9 = 13 \) and \( 27 \div 9 = 3 \), so this simplifies to \( 13:3 \), which is equivalent.

2. **36:5**
   - This ratio cannot be simplified to \( 13:3 \), since 36 and 5 are not proportional to 13 and 3. Therefore, this is **not equivalent**.

3. **91:21**
   - Simplify \( 91 \div 7 = 13 \) and \( 21 \div 7 = 3 \), so this simplifies to \( 13:3 \), which is equivalent.

### Conclusion:
The correct selections are:
- \( 117:27 \)
- \( 91:21 \)

The ratio \( 36:5 \) is not equivalent to \( 13:3 \).

Would you like more details or have any questions? Here are 5 related questions:

1. How do you check if two ratios are equivalent?
2. What are the steps to simplify a ratio?
3. Can all ratios be simplified?
4. How are ratios used in real-world problems?
5. What is the difference between a ratio and a proportion?

**Tip**: Always check if both numbers in a ratio can be divided by the same greatest common divisor (GCD) to simplify it efficiently!

Select all ratios equivalent to 13:3 from the options: 117:27, 36:5, 91:21.

In this exercise, learn how to identify ratios equivalent to 13:3. Use the greatest common divisor to simplify each ratio and compare it to the original. Ratios included: 117:27, 36:5, 91:21. Ideal for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation