
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
Given a rectangular piece of paper, 6 inches by 8 inches, is folded in half horizontally and cut in half horizontally to the fold, determine the ratio of the perimeter of one of the smaller rectangles to the perimeter of one of the larger rectangles.

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