Compare 5/11 and 4/5

Question

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

Answer 1

To compare \( \frac{5}{11} \) and \( \frac{4}{5} \) to the benchmark fraction \( \frac{1}{2} \), we can evaluate each fraction.

1. Convert \( \frac{5}{11} \) to a decimal or compare it directly with \( \frac{1}{2} \): \[ \frac{1}{2} = 0.5 \] Now, calculating \( \frac{5}{11} \): \[ \frac{5}{11} \approx 0.4545 \quad (\text{when divided}) \] Since \( 0.4545 < 0.5 \), we find that: \[ \frac{5}{11} < \frac{1}{2} \]

2. Now, compare \( \frac{4}{5} \): \[ \frac{4}{5} = 0.8 \] Since \( 0.8 > 0.5 \), we find that: \[ \frac{4}{5} > \frac{1}{2} \]

From the comparisons, we conclude that:

The fraction \( \frac{5}{11} \) is less than \( \frac{1}{2} \), while \( \frac{4}{5} \) is greater than \( \frac{1}{2} \).

Thus, the fraction \( \frac{5}{11} \) is less than \( \frac{1}{2} \).