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The question asks for the product of \(-2 \times \left(-4 \frac{2}{5}\right)\).

Let's break this down step by step:

1. **Convert the mixed number to an improper fraction:**
   \[
   -4 \frac{2}{5} = -\left(\frac{5 \times 4 + 2}{5}\right) = -\frac{22}{5}
   \]

2. **Multiply by \(-2\):**
   \[
   -2 \times -\frac{22}{5} = \frac{44}{5}
   \]

   So, the result of \(-2 \times \left(-4 \frac{2}{5}\right)\) is \(\frac{44}{5}\), which is equivalent to **8 \(\frac{4}{5}\)** in mixed number form.

Thus, the correct answer is **8 \(\frac{4}{5}\)**. The first option is the right choice.

Would you like more details on any of these steps?

Here are 5 related questions for further practice:
1. What is the product of \(3 \times \left(-2 \frac{3}{7}\right)\)?
2. Convert \(5 \frac{1}{6}\) into an improper fraction.
3. Simplify \(-3 \times \frac{9}{4}\).
4. How do you multiply two mixed numbers together, like \(2 \frac{1}{3} \times 3 \frac{1}{2}\)?
5. What is the difference between multiplying positive and negative fractions?

**Tip:** Always convert mixed numbers to improper fractions before multiplying for simpler calculations.

Learn how to multiply -2 by -4 2/5 with step-by-step instructions. This problem covers converting mixed numbers to improper fractions and multiplying rational numbers, following the rules of negative numbers. Ideal for students in Grades 6-8.

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