
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 triangle \(ABC\) with sides each of length 12 units has points \(D, E,\) and \(F\) on sides \(BC, CA,\) and \(AB\) respectively, such that \(BD = CE = 5\) units and \(AF = 8\) units. Lines \(AD, BE,\) and \(CF\) intersect at points \(G, H,\) and \(J\). What fraction of the area of triangle \(ABC\) is the area of triangle \(GHJ\)?

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