Compare 5/11 and 4/5

using the benchmark fraction 1/2
the fraction ___ is greater than 1/2

1 answer

To compare the fractions \( \frac{5}{11} \) and \( \frac{4}{5} \) to the benchmark fraction \( \frac{1}{2} \), we can convert each fraction to decimal form or compare them directly to \( \frac{1}{2} \).

  1. Convert to decimals:
    • \( \frac{5}{11} \approx 0.4545 \)
    • \( \frac{4}{5} = 0.8 \)
    • \( \frac{1}{2} = 0.5 \)

Now we can compare:

  • \( 0.4545 < 0.5 \) (thus, \( \frac{5}{11} < \frac{1}{2} \))
  • \( 0.8 > 0.5 \) (thus, \( \frac{4}{5} > \frac{1}{2} \))
  1. Conclusion: The fraction \( \frac{4}{5} \) is greater than \( \frac{1}{2} \).

So, the complete statement would be:

The fraction \( \frac{4}{5} \) is greater than \( \frac{1}{2} \).