Question
Compare 511 and 45 using the benchmark fraction 12. Use the drop-down menus to fill in the statements below. You can use the number line as a visual aide, if needed.The fraction is less than the benchmark 12.The fraction is greater than the benchmark 12.511 is 45.
Answers
GPT-4o mini
To compare 511 and 45 using the benchmark fraction of 12, we can perform the following calculations:
1. **Find out how many times 12 fits into each number**:
- For 511: \( 511 \div 12 \approx 42.58 \)
- For 45: \( 45 \div 12 \approx 3.75 \)
2. **Interpret the divisions**:
- Since \( 42.58 \) is greater than \( 1 \), **511 is greater than the benchmark 12**.
- Since \( 3.75 \) is also greater than \( 1 \), **45 is also greater than the benchmark 12**.
Now, we can fill in the statements:
- The fraction is less than the benchmark 12. **(This statement is not true for either number.)**
- The fraction is greater than the benchmark 12. **(Both statements are true for both numbers.)**
- 511 is **greater than** 45.
Putting it all together, we can conclude:
- **511 is greater than 45.**
1. **Find out how many times 12 fits into each number**:
- For 511: \( 511 \div 12 \approx 42.58 \)
- For 45: \( 45 \div 12 \approx 3.75 \)
2. **Interpret the divisions**:
- Since \( 42.58 \) is greater than \( 1 \), **511 is greater than the benchmark 12**.
- Since \( 3.75 \) is also greater than \( 1 \), **45 is also greater than the benchmark 12**.
Now, we can fill in the statements:
- The fraction is less than the benchmark 12. **(This statement is not true for either number.)**
- The fraction is greater than the benchmark 12. **(Both statements are true for both numbers.)**
- 511 is **greater than** 45.
Putting it all together, we can conclude:
- **511 is greater than 45.**