
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
Given that $\frac{2}{5}= \frac{1}{3}+ \frac{1}{15}$, $\frac{2}{7}= \frac{1}{4}+ \frac{1}{28}$, $\frac{2}{9}= \frac{1}{5}+ \frac{1}{45}$, ..., observe the patterns in the above equations:

(1) $\frac{2}{11}=$ \_\_\_\_\_\_;

(2) For $n\geqslant 3$ and $n \in \mathbb{N}^*$, $\frac{2}{2n-1}=$ \_\_\_\_\_\_.

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