Let's break down and evaluate the expression step by step.

The expression is:

\[
4 + \frac{5426}{57846} \times 659853214 \% \div 54875
\]

First, let's clarify the meaning of the "%" symbol. In some contexts, it represents modulo, while in others, it represents percentage. Since the modulo operator doesn't make sense here, I assume the "%" symbol is being used as a percentage.

So we interpret the expression as:

\[
4 + \frac{5426}{57846} \times 659853214 \times \frac{1}{100} \div 54875
\]

Now, I'll calculate each step.The result of the expression is approximately \( 15.28 \).

Do you want more details or have any questions? Here are 5 related questions for further exploration:

1. How does the order of operations (PEMDAS) affect complex expressions?
2. What is the difference between modulo and percentage in mathematical expressions?
3. Can you explain the role of fractions in mathematical operations involving division?
4. What are other methods to simplify complex mathematical expressions?
5. How do percentages impact large numbers in financial calculations?

**Tip:** Always clarify the meaning of symbols like `%` when writing complex expressions to avoid ambiguity.

This article breaks down and solves the complex mathematical expression 4 + 5426/57846 * 659853214% / 54875. It covers key mathematical concepts such as the order of operations (PEMDAS), percentages, and division, providing a clear and detailed solution. Suitable for high school students in Grades 9-12.

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