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(3 points)

Compare 5/11
and 4/5
using the benchmark fraction 1/2
. 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
is less than the benchmark 1/2
.

The fraction
is greater than the benchmark 1/2
.

5/11
is
4/5
.

1 answer

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

  1. Determine how \( \frac{5}{11} \) compares to \( \frac{1}{2} \):

    • To compare \( \frac{5}{11} \) to \( \frac{1}{2} \), we can find a common denominator and compare. The value of \( \frac{5}{11} \) is approximately 0.4545, which is less than 0.5 (the value of \( \frac{1}{2} \)).
    • Therefore, \( \frac{5}{11} \) is less than the benchmark \( \frac{1}{2} \).

  2. Determine how \( \frac{4}{5} \) compares to \( \frac{1}{2} \):

    • The value of \( \frac{4}{5} \) is 0.8, which is greater than 0.5.
    • Therefore, \( \frac{4}{5} \) is greater than the benchmark \( \frac{1}{2} \).

  3. Compare \( \frac{5}{11} \) and \( \frac{4}{5} \):

    • Since \( \frac{5}{11} \) is approximately 0.4545 and \( \frac{4}{5} \) is 0.8, it is clear that \( \frac{5}{11} \) is less than \( \frac{4}{5} \).

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 \( \frac{4}{5} \).