
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
Fill in the appropriate set for each of the following numbers: $15$,$-\frac{1}{9}$,$-5$,$\frac{2}{15}$,$0$,$-5.32$,$2$.$\stackrel{．}{3}$,$\pi $,$80\%$,$5$.<br/>$(1)$ Set of fractions $\{\_\_\_\_\_\_\ldots \}$;<br/>$(2)$ Set of natural numbers $\{\_\_\_\_\_\_\ldots \}$;<br/>$(3)$ Set of non-positive integers $\{\_\_\_\_\_\_\ldots \}$;<br/>$(4)$ Set of non-negative rational numbers $\{\_\_\_\_\_\_\ldots \}$.

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