
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
Read the following text: For $(-5\frac{5}{6})+(-9\frac{2}{3})+17\frac{3}{4}+(-3\frac{1}{2})$, calculate as follows: the original expression $=[(-5)+(-\frac{5}{6})]+[(-9)+(-\frac{2}{3})]+(17+\frac{3}{4})+[(-3)+(-\frac{1}{2})]$<br/>$=[(-5)+(-9)+17+(-3)]+[(-\frac{5}{6})+(-\frac{2}{3})+\frac{3}{4}+(-\frac{1}{2})]$<br/>$=0+(-1\frac{1}{4})$<br/>$=-1\frac{1}{4}$,<br/>The method above is called the method of splitting terms. Following the method above, calculate: $(-2017\frac{2}{3})+2016\frac{3}{4}+(-2015\frac{5}{6})+16\frac{1}{2}=\_\_\_\_\_\_$.

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