Compare 5/11 and 4/5 using the benchmark fraction 1/2

Question

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5/11 is __________ 4/5.

Answer 1

To compare the fractions \( \frac{5}{11} \) and \( \frac{4}{5} \) using the benchmark fraction \( \frac{1}{2} \), we can first convert both fractions to decimals or equivalent fractions to check their values:

1. Convert fractions to decimals:
   • \( \frac{5}{11} \) is approximately \( 0.4545 \)
   • \( \frac{4}{5} = 0.8 \)

Now, we can compare the two values:

• \( 0.4545 \) (which is \( \frac{5}{11} \)) is less than \( 0.5 \) (which is \( \frac{1}{2} \)).
• \( 0.8 \) (which is \( \frac{4}{5} \)) is greater than \( 0.5 \).

This means:

• \( \frac{5}{11} \) is less than \( \frac{1}{2} \)
• \( \frac{4}{5} \) is greater than \( \frac{1}{2} \)

Based on this analysis:

5/11 is less than 4/5.