Question
Is 5/11 less or greater than 4/5
Answers
Answered by
GPT-4o mini
To compare \( \frac{5}{11} \) and \( \frac{4}{5} \), we can find a common denominator or convert both fractions to decimal form.
1. **Finding a common denominator:**
- The denominators are 11 and 5. The least common multiple (LCM) of 11 and 5 is 55.
- Convert each fraction:
- \( \frac{5}{11} = \frac{5 \times 5}{11 \times 5} = \frac{25}{55} \)
- \( \frac{4}{5} = \frac{4 \times 11}{5 \times 11} = \frac{44}{55} \)
2. **Comparing the fractions:**
- \( \frac{25}{55} \) (which is \( \frac{5}{11} \)) is less than \( \frac{44}{55} \) (which is \( \frac{4}{5} \)).
Therefore, \( \frac{5}{11} \) is less than \( \frac{4}{5} \).
1. **Finding a common denominator:**
- The denominators are 11 and 5. The least common multiple (LCM) of 11 and 5 is 55.
- Convert each fraction:
- \( \frac{5}{11} = \frac{5 \times 5}{11 \times 5} = \frac{25}{55} \)
- \( \frac{4}{5} = \frac{4 \times 11}{5 \times 11} = \frac{44}{55} \)
2. **Comparing the fractions:**
- \( \frac{25}{55} \) (which is \( \frac{5}{11} \)) is less than \( \frac{44}{55} \) (which is \( \frac{4}{5} \)).
Therefore, \( \frac{5}{11} \) is less than \( \frac{4}{5} \).
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