
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
In an equilateral triangle $ABC$, $K$ is the midpoint of side $AB$, point $L$ lies one-third of the way along side $BC$ closer to point $C$, and point $M$ lies one-third of the way along side $AC$ closer to point $A$.

Determine what fraction of the area of triangle $ABC$ is occupied by triangle $KLM$.

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