
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
From the operation of fractions, we know that $\frac{1}{1\times2}=\frac{1}{1}-\frac{1}{2}$, $\frac{1}{2\times3}=\frac{1}{2}-\frac{1}{3}$, ..., $\frac{1}{n(n+1)}=\frac{1}{n}-\frac{1}{n+1}$. Find the pattern from above and use it to calculate $\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{2015\times2016}$ \_\_\_\_\_\_.

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