To evaluate the reasonableness of Tracy's answer (5 23/35), let's analyze the rounding of the two numbers involved in the expression \(6/7 + 4 \frac{4}{5}\).
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Rounding \(6/7\):
- \(6/7\) is approximately \(0.857\), which rounds to \(1\).
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Rounding \(4 \frac{4}{5}\):
- \(4 \frac{4}{5} = 4 + 0.8 = 4.8\), which rounds to \(5\).
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Calculating the sum:
- Adding the rounded values: \(1 + 5 = 6\).
Now, let's check the reasonableness of Tracy's answer \(5 \frac{23}{35}\):
- Convert the mixed number to an improper fraction: \[ 5 \frac{23}{35} = \frac{5 \cdot 35 + 23}{35} = \frac{175 + 23}{35} = \frac{198}{35} \approx 5.657 \]
- Rounding \(5 \frac{23}{35}\) gives us approximately \(6\).
Given this rounding analysis, we can evaluate the provided options:
- A: States her answer rounds to \(5\). This is incorrect since \(5 \frac{23}{35}\) rounds to \(6\).
- B: States her answer rounds to \(6\), which is correct. However, it incorrectly mentions \(4 \frac{4}{5}\) rounding to \(5\) instead of \(4\).
- C: Incorrectly says \(5 \frac{23}{35}\) is not equal to \(5\), but it rounds to \(6\).
- D: States that since \(4 \frac{4}{5}\) rounds to \(5\), the total rounds to \(6\) and claims it's not reasonable. This is misleading since while her answer does round to \(6\), the justification based on rounding \(4 \frac{4}{5}\) to \(5\) is wrong for the sum.
The most reasonable conclusion based on the rounding is:
B is the closest, but without the minor error regarding the rounding of \(4 \frac{4}{5}\). Thus, while it states that her answer is reasonable, the justification has a mistake.
Final conclusion on Tracy's answer:
- B is overall the most fitting answer reflecting the rounding and the final approximate assessment, focusing on the output of \(6\).