
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 points B and C lie on line segment $\overline{AD}$ and the length of $\overline{AB}$ is three times the length of $\overline{BD}$, point C is located between B and D, and the length of $\overline{AC}$ is six times the length of $\overline{CD}$, calculate the fraction of the length of $\overline{BC}$ with respect to the length of $\overline{AD}$.

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