The expression given is:

\[
6.4 - \frac{2.4}{0.1}
\]

First, perform the division:

\[
\frac{2.4}{0.1} = 24
\]

Now, subtract from 6.4:

\[
6.4 - 24 = -17.6
\]

Thus, the result is:

\[
\boxed{-17.6}
\]

Would you like more details or have any questions about this solution?

Here are 5 related questions to expand on this topic:
1. What is the order of operations (PEMDAS)?
2. How does multiplying by a fraction differ from dividing by a decimal?
3. Can you explain how to handle parentheses in more complex expressions?
4. What happens if you divide by 0.01 instead of 0.1?
5. What is the result of \(\frac{6.4}{2.4} - 0.1\)?

**Tip**: When dividing by decimals, you can multiply both the numerator and denominator by 10 to simplify the calculation.

Learn how to solve the arithmetic expression 6.4 - 2.4 divided by 0.1. This solution covers division with decimals and subtraction, and emphasizes the importance of following the correct order of operations (PEMDAS). Suitable for students in Grades 5-7.

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