To compare the ratios \( \frac{2}{5} \) and \( \frac{3}{4} \), we can look for matching pairs that represent these ratios in the tables provided.
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For the ratio \( \frac{2}{5} \): This can be represented by the pairs:
- (2, 5)
- (4, 10)
- (6, 15)
- (8, 20)
- (10, 25)
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For the ratio \( \frac{3}{4} \): This can be represented by the pairs:
- (3, 4)
- (6, 8)
- (9, 12)
- (12, 16)
- (15, 20)
To effectively compare the two ratios, the table must contain both sets of pairs listed above.
Upon reviewing the provided options:
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The first option contains:
- (2, 5), (4, 10) for \( \frac{2}{5} \)
- (3, 4), (6, 8) for \( \frac{3}{4} \)
Thus, this option is valid for comparison.
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The second option contains:
- (2, 5), (6, 15) for \( \frac{2}{5} \)
- (3, 4), (9, 12) for \( \frac{3}{4} \)
This option is also valid.
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The third option contains:
- (2, 5), (4, 10) for \( \frac{2}{5} \)
- (3, 4), (6, 8) for \( \frac{3}{4} \)
This option is valid too.
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The fourth option contains:
- (2, 5), (3, 10), and others for \( \frac{2}{5} \)
- (3, 4), (4, 8), and others for \( \frac{3}{4} \)
This option contains incorrect representations (3, 10 does not represent \( \frac{2}{5} \)), therefore it is not valid for comparison.
The options that can be used to compare the ratios \( \frac{2}{5} \) and \( \frac{3}{4} \) are the first, second, and third options.