
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
In some cases, it is not necessary to calculate the result to remove the absolute value. For example: $|6+7|=6+7$, $|6-7|=7-6$, $|7-6|=7-6$, $|-6-7|=6+7.\left(1\right)$ According to the above rule, express the following expressions in the form without absolute value symbols: <br/>①$|\frac{7}{17}-\frac{7}{18}|=$______；<br/>②$|\pi -3.15|=$______；<br/>$(2)$ Calculate using a simple method: $|\frac{1}{3}-\frac{1}{2}|+|\frac{1}{4}-\frac{1}{3}|+|\frac{1}{5}-\frac{1}{4}|+…+|\frac{1}{2022}-\frac{1}{2021}|$.

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