
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
The exact amount of fencing that enclosed the six congruent equilateral triangular pens shown here is reused to form one large equilateral triangular pen. Calculate the ratio of the total area of the six small pens to the area of the new large pen. Express your answer as a common fraction.

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