https://file.aiquickdraw.com/mathbot/file/1726889617829f0piacfh.jpg

Let's analyze the expressions given in the image to determine which are equal to 11.

1. **First expression: \(\frac{-55}{-5}\)**  
   Simplifying this:
   \[
   \frac{-55}{-5} = 11
   \]
   So, this is equal to 11.

2. **Second expression: \(-\left(\frac{55}{5}\right)\)**  
   Simplifying the inner part first:
   \[
   \frac{55}{5} = 11
   \]
   Now apply the negative sign:
   \[
   -11
   \]
   This expression is **not** equal to 11.

3. **Third expression: \(-\left(\frac{-55}{-5}\right)\)**  
   Simplifying the inner part first:
   \[
   \frac{-55}{-5} = 11
   \]
   Now apply the negative sign:
   \[
   -11
   \]
   This expression is also **not** equal to 11.

### Conclusion:
- The **first expression** is equal to 11.
- The **second and third expressions** are not equal to 11.

Would you like any further details or have any questions?

Here are some related questions:
1. What is the rule for dividing negative numbers?
2. How do you handle nested negative signs in an expression?
3. Why does the negative sign outside a fraction affect the result?
4. Can you explain more about simplifying fractions?
5. How do absolute values affect division of negative numbers?

**Tip**: Always simplify expressions inside parentheses first before applying outer operations!

Which of these are equal to 11? Select all that apply.

Learn how to determine which expressions are equal to 11 by simplifying fractions and understanding the division of negative numbers. This problem covers key mathematical concepts such as dividing negative numbers, simplification of fractions, and the order of operations. Suitable for students in Grades 6-8.

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