
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
Compared to last year, participation in the local basketball league has increased by $15\%$. From the previous year, the number of males increased by $10\%$ and the number of females increased by $30\%$. Last year, there were $30$ males participating in the league. Find the fraction of the league's participants that is female this year and express your answer as a common fraction.

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