
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
Susan has exactly one of each of the first 22 states' new U.S. quarters. The quarters were released in the same order that the states joined the union. Based on a historical graph, 7 states joined the union during the decade from 1800 through 1809. What fraction of Susan's 22 quarters represents states that joined the union in this decade? Express your answer as a common fraction.

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