
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
Points $E$ and $F$ lie on $\overline{GH}$. The length of $\overline{GE}$ is $3$ times the length of $\overline{EH}$, and the length of $\overline{GF}$ is $5$ times the length of $\overline{FH}$. Determine the length of $\overline{EF}$ as a fraction of the length of $\overline{GH}$.
A) $\frac{1}{10}$  
B) $\frac{1}{12}$  
C) $\frac{1}{6}$  
D) $\frac{1}{8}$

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