
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
A large equilateral triangle has sides of 12 units each. A smaller equilateral triangle with sides of 6 units each is cut off from the bottom corner, resulting in an isosceles trapezoid. What is the ratio of the area of the smaller triangle to the area of the trapezoid formed? Express your answer as a common fraction.

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