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We are tasked with simplifying the given expression:

\[
\frac{\frac{1}{13} - \frac{12}{13}}{\frac{1}{8}}
\]

### Step-by-step solution:

1. **Simplify the numerator:**
   \[
   \frac{1}{13} - \frac{12}{13} = \frac{1 - 12}{13} = \frac{-11}{13}
   \]

2. **Rewrite the full expression:**
   \[
   \frac{\frac{-11}{13}}{\frac{1}{8}}
   \]

3. **Simplify the complex fraction by multiplying by the reciprocal:**
   \[
   \frac{-11}{13} \times \frac{8}{1} = \frac{-11 \times 8}{13 \times 1} = \frac{-88}{13}
   \]

Thus, the simplified answer is:

\[
\boxed{\frac{-88}{13}}
\]

Would you like more details on any steps? Here are five related questions you might find useful:

1. How do you simplify complex fractions in general?
2. What is the concept of reciprocals, and how do they work in fraction division?
3. What are the rules for subtracting fractions with the same denominator?
4. How do you handle negative numbers in fractional operations?
5. How can this method be extended to solve more complicated fractional expressions?

**Tip:** Always check if fractions can be simplified further, especially when dealing with both positive and negative numbers!

Perform the operation and simplify the answer fully: (1/13 - 12/13) ÷ (1/8)

Learn how to simplify the expression (1/13 - 12/13) ÷ (1/8) step-by-step. This problem covers subtraction of fractions with a common denominator and division using reciprocals, suitable for Grades 6-8.

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