To solve \(-9.2 \times \left(-3 \frac{2}{3}\right)\):

1. Convert the mixed number \(-3 \frac{2}{3}\) into an improper fraction:
   \[
   -3 \frac{2}{3} = -\frac{11}{3}
   \]

2. Now multiply \(-9.2\) by \(-\frac{11}{3}\):
   \[
   -9.2 \times -\frac{11}{3} = \frac{-9.2 \times -11}{3}
   \]

3. Simplify the multiplication:
   \[
   -9.2 \times -11 = 101.2
   \]

4. Now divide by 3:
   \[
   \frac{101.2}{3} = 33.7333\ldots
   \]

Thus, the result of \(-9.2 \times \left(-3 \frac{2}{3}\right)\) is approximately **33.73**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the process to convert mixed numbers to improper fractions?
2. How does the sign change in multiplication affect the result?
3. What are the steps for dividing decimals by fractions?
4. How do you approximate long decimal results?
5. Can we simplify fractions before multiplying?

**Tip:** When multiplying or dividing negative numbers, two negatives cancel out and make the result positive.

Learn how to solve -9.2 x (-3 2/3) with a clear, step-by-step solution. This problem includes the conversion of mixed numbers to improper fractions, multiplication of decimals by fractions, and the rule of multiplying negative numbers. Suitable for Grades 6-8.

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