Let's solve the expression step by step:

\[
\frac{13}{13} \div 4 - (-11) - \left(-\frac{7}{10} \div 8\right)
\]

1. **Simplify the fractions and division:**

   - \(\frac{13}{13} = 1\)
   - \(1 \div 4 = \frac{1}{4}\)
   - \(-\frac{7}{10} \div 8 = -\frac{7}{10} \times \frac{1}{8} = -\frac{7}{80}\)

   So the expression becomes:

   \[
   \frac{1}{4} - (-11) - \left(-\frac{7}{80}\right)
   \]

2. **Simplify the double negatives:**

   - \(-(-11) = 11\)
   - \(-(-\frac{7}{80}) = \frac{7}{80}\)

   The expression is now:

   \[
   \frac{1}{4} + 11 + \frac{7}{80}
   \]

3. **Add the fractions** (find a common denominator for \(\frac{1}{4}\) and \(\frac{7}{80}\)):

   - \(\frac{1}{4} = \frac{20}{80}\)
   - Now, add the fractions: \(\frac{20}{80} + \frac{7}{80} = \frac{27}{80}\)

   So the expression becomes:

   \[
   \frac{27}{80} + 11
   \]

4. **Combine the fraction and the integer:**

   - Convert the integer to a fraction: \(11 = \frac{880}{80}\)
   - Add the fractions: \(\frac{880}{80} + \frac{27}{80} = \frac{907}{80}\)

Therefore, the final simplified answer is:

\[
\frac{907}{80}
\]

Or as a mixed number:

\[
11\frac{27}{80}
\]

Would you like more details or have any questions? 

Here are 5 related questions you might consider:
1. How do you simplify complex fractions?
2. What are the rules for adding and subtracting fractions?
3. How do you convert improper fractions to mixed numbers?
4. How do you handle division of fractions?
5. What is the importance of finding a common denominator in fraction addition?

**Tip:** Always simplify fractions and expressions as much as possible before performing operations to avoid mistakes.

Learn how to solve the expression 13 divided by 13 divided by 4 minus negative 11 minus negative 7 divided by 10 divided by 8 step-by-step. This problem covers fraction simplification, integer operations, and fraction addition, suitable for students in Grades 6-8.

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