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The given expression is:

\[
-6.2 \times \left( -\frac{3}{2} \times \frac{1}{2} \right)
\]

### Step-by-step solution:

1. First, simplify the multiplication inside the parentheses:
   \[
   -\frac{3}{2} \times \frac{1}{2} = -\frac{3 \times 1}{2 \times 2} = -\frac{3}{4}
   \]

2. Now substitute this result back into the expression:
   \[
   -6.2 \times \left( -\frac{3}{4} \right)
   \]

3. Multiply \(-6.2\) by \(-\frac{3}{4}\):
   \[
   -6.2 \times -\frac{3}{4} = \frac{6.2 \times 3}{4} = \frac{18.6}{4} = 4.65
   \]

So, the simplified answer is:
\[
4.65
\]

Would you like any further details or clarifications?

Here are 5 related questions you can explore:
1. What happens when you multiply two negative fractions?
2. How do you convert a decimal into a fraction?
3. How do you handle mixed numbers in multiplication?
4. How can you simplify fractions before multiplying them?
5. How do you perform long division to verify the final answer?

**Tip**: Always simplify fractions before multiplying, if possible, to make the calculation easier.

Multiply: -6.2 × (-3/2 × 1/2). Simplify your answer.

Explore how to multiply -6.2 by the product of -3/2 and 1/2 in this detailed solution. Understand the multiplication of fractions and handling of negative numbers. Suitable for students in Grades 6-8.

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