To compare the ratios \(4:5\) and \(16:20\), we can simplify each ratio.
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Simplifying \(4:5\):
- This ratio is already in its simplest form.
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Simplifying \(16:20\):
- We can divide both parts of the ratio by 4: \[ \frac{16}{4} : \frac{20}{4} = 4:5 \]
- So, \(16:20\) simplifies to \(4:5\) as well.
Since both ratios simplify to \(4:5\), we can conclude:
Comparison:
The ratios \(4:5\) and \(16:20\) are equivalent.
Models Representation
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First Model with 5 Sections:
- For every 4 sections (representing the first part of the ratio), there are 5 sections in total for the second part.
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Second Model with 20 Sections:
- In the case of the second model, \(16:20\) represents the same proportion. Here, you would have 16 sections that align with one part of the ratio, indicating the same relationship.
In summary, both models represent the same ratio of \(4:5\).