
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Six congruent equilateral triangular fields each with side length \(s\) are enclosed using fencing. If the exact amount of fencing that enclosed the six small triangles is reused to form one large equilateral triangular field, what is the ratio of the total area of the six small triangles to the area of the new large triangle? Express your answer as a common fraction.

Present the answer in LaTex format: \boxed{Your answer}
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