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.

Answer 1

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.