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The expression simplifies to \(-\frac{1161}{100}\), or \(-11.61\).

Would you like more details or have any further questions?

Here are 5 related questions to deepen your understanding:
1. How are fractions combined when adding or subtracting them in an expression?
2. Why is it important to simplify fractions in mathematical expressions?
3. What rules govern the operations between fractions and whole numbers?
4. How would this expression change if one of the fractions had a different denominator?
5. Can you apply this method to expressions with variables?

**Tip:** Always remember to simplify fractions before performing further operations—it makes the calculations easier to manage

Simplify the following mathematical expression: \( \frac{1}{5} \left( 1 + \frac{3}{5} - \frac{9}{10} \right) + \left[ 2 + 5 \left( \frac{2}{8} - 3 \right) \right] \).

Learn how to simplify a mathematical expression that involves fractions and order of operations. This problem covers concepts such as adding and subtracting fractions, multiplication of fractions, and the importance of applying the correct order of operations.

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