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
.

Answer 1

To compare the fractions \( \frac{511}{12} \) and \( \frac{45}{12} \), we can analyze them as follows:

1. Calculate \( \frac{511}{12} \):
\[
511 \div 12 = 42.5833 \quad (\text{approximately})
\]

2. Calculate \( \frac{45}{12} \):
\[
45 \div 12 = 3.75
\]

Now, let’s compare these two values:

- Since \( 42.5833 > 3.75 \), we can say that
\( \frac{511}{12} \) is greater than \( \frac{45}{12} \).

From the information gathered, we can fill in the statements as follows:

- The fraction \( \frac{45}{12} \) is less than the benchmark 12.
- The fraction \( \frac{511}{12} \) is greater than the benchmark 12.
- \( 511 \) is greater than \( 45 \).

So the completed statements are:

1. The fraction \( \frac{45}{12} \) is less than the benchmark 12.
2. The fraction \( \frac{511}{12} \) is greater than the benchmark 12.
3. \( 511 \) is greater than \( 45 \).