To solve the division problem \(-\frac{8}{3} \div \frac{1}{4}\), follow these steps:

### Step 1: Division of fractions
Dividing by a fraction is the same as multiplying by its reciprocal. So, the expression becomes:

\[
-\frac{8}{3} \times \frac{4}{1}
\]

### Step 2: Multiply the numerators and denominators
Now, multiply the numerators and the denominators:

\[
-\frac{8}{3} \times \frac{4}{1} = -\frac{8 \times 4}{3 \times 1} = -\frac{32}{3}
\]

### Final Answer:
\[
-\frac{8}{3} \div \frac{1}{4} = -\frac{32}{3}
\]

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Do you have any more questions or need further details?

Here are 5 follow-up questions:
1. What is the general rule for dividing fractions?
2. Can this result be converted into a mixed number?
3. How would the calculation change if the problem were multiplication instead of division?
4. How do negative signs affect operations with fractions?
5. Can you apply this division of fractions in a word problem?

**Tip:** When dividing fractions, always multiply by the reciprocal of the second fraction to avoid errors!

Learn how to solve the division of fractions problem \(-\frac{8}{3} \div \frac{1}{4}\) with a detailed step-by-step solution. This problem involves dividing fractions using the reciprocal method. Suitable for students in Grades 6-8.

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