
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
Jessica has a collection of quarters representing the first 30 states in the order they were admitted to the union. She needs to find out what fraction of her collection came from states admitted during the decades of 1790 through 1799. Assume a similar graphic representation of state admissions per decade and the following added details:
- 16 states joined the union from 1790 through 1799.
- Jessica owns exactly one quarter from each of these 30 states.

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