
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
During a business lunch, I have to choose a meal at a restaurant that is known for its diverse menu. I am a vegetarian who also needs to avoid gluten. The restaurant I visited has an extensive menu, with five dishes that do not contain any meat. These dishes comprise one fifth of their total offerings. However, four out of these five vegetarian dishes contain gluten. What fraction of the total menu can I eat?

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