
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
Math teacher Lei listed the following materials on multimedia: Calculate: $-5\frac{5}{6}+(-9\frac{2}{3})+17\frac{3}{4}+(-3\frac{1}{2})$. Solution: The original expression $=[(-5)+(-\frac{5}{6})]+[(-9)+(-\frac{2}{3})]+[17+\frac{3}{4}]+[(-3)+(-\frac{1}{2})]$; $=[(-5)+(-9)+(-3)+17]+[(-\frac{5}{6})+(-\frac{2}{3})+\frac{3}{4}+(-\frac{1}{2})]$; $=0+(-1\frac{1}{4})$; $=-1\frac{1}{4}$. The above method is called the method of splitting terms. Please calculate following the method above: $(1)(+28\frac{5}{7})+(-25\frac{1}{7})$. $(2)(-2022\frac{2}{7})+(-2023\frac{4}{7})+4046+(-\frac{1}{7})$.

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