
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
Let \(\lfloor x \rfloor\) denote the largest integer less than or equal to \(x\), and let \(\{ x \}\) denote the fractional part of \(x\). For example, \(\lfloor \pi \rfloor = 3\), and \(\{\pi \} = 0.14159 \ldots\), while \(\lfloor 100 \rfloor = 100\) and \(\{100 \} = 0\). If \(n\) is the largest solution to the equation \(\frac{\lfloor n \rfloor}{n} = \frac{2015}{2016}\), compute \(\{n\}\).

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