Question

Compare%C2%A05/11 %C2%A0and%C2%A04/5 %C2%A0using the benchmark fraction%C2%A01/2 . 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%C2%A0 %C2%A0is less than the%C2%A0benchmark%C2%A01/2 . The fraction%C2%A0 %C2%A0is greater than the%C2%A0benchmark%C2%A012 . 5/11 %C2%A0is%C2%A0 %C2%A045 .

Answer 1

To compare the fractions \( \frac{5}{11} \) and \( \frac{4}{5} \) using the benchmark fraction \( \frac{1}{2} \):

1. **Convert to decimal or approximate values:**
- \( \frac{5}{11} \approx 0.4545 \) (which is less than \( 0.5 \))
- \( \frac{4}{5} = 0.8 \) (which is greater than \( 0.5 \))

2. **Fill in the statements:**
- The fraction \( \frac{5}{11} \) is less than the benchmark \( \frac{1}{2} \).
- The fraction \( \frac{4}{5} \) is greater than the benchmark \( \frac{1}{2} \).
- \( \frac{5}{11} \) is less than \( \frac{4}{5} \).

So the final filled statements will be:
- The fraction \( \frac{5}{11} \) is less than the benchmark \( \frac{1}{2} \).
- The fraction \( \frac{4}{5} \) is greater than the benchmark \( \frac{1}{2} \).
- \( \frac{5}{11} \) is less than \( \frac{4}{5} \).