
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
When Mingming calculated $(-4\frac{2}{3})-1\frac{5}{6}-(-18\frac{1}{2})+(-13\frac{3}{4})$, he did it like this:<br/>Original expression $=(-4\frac{2}{3})+(-1\frac{5}{6})+18\frac{1}{2}+(-13\frac{3}{4})\ldots \ldots $, first step<br/>$=[\left(-4\right)+(-\frac{2}{3})]+[\left(-1\right)+(-\frac{5}{6})]+(18+\frac{1}{2})+[\left(-13\right)+(-\frac{3}{4})]\ldots \ldots $, second step<br/>$=\left[\left(-4\right)+\left(-1\right)+18+\left(-13\right)\right]+[(-\frac{2}{3})+(-\frac{5}{6})+(-\frac{1}{2})+(-\frac{3}{4})]\ldots \ldots $, third step<br/>$=0+(-\frac{11}{4})\ldots \ldots $, fourth step<br/>$=-\frac{11}{4}\ldots \ldots $, fifth step<br/>$(1)$ At which step did Mingming make a mistake in his solution, correct it, and calculate the correct result;<br/>$(2)$ Following Mingming's method, please calculate: $(-102\frac{1}{6})-(-96\frac{1}{2})+54\frac{2}{3}+(-48\frac{3}{4})$.

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