Which of the following expressions are equivalent to $$ -\frac{8}{11}-\frac{3}{4}-\frac{1}{4} $$ ? Choose 2 answers: A $$ -\frac{8}{11}+\left(-\frac{3}{4}\right)+\left(-\frac{1}{4}\right) $$ (B) $$ \frac{3}{4}-\frac{8}{11}-\frac{1}{4} $$ C $$ -\frac{8}{11}-\left(-\frac{3}{4}\right)-\frac{1}{4} $$ D $$ \left(-\frac{1}{4}+\left(-\frac{3}{4}\right)\right)-\frac{8}{11} $$

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To determine which expressions are equivalent to $$ -\frac{8}{11} - \frac{3}{4} - \frac{1}{4} $$, let's analyze each option:

1. **Option A:**
   $$
   -\frac{8}{11} + \left(-\frac{3}{4}\right) + \left(-\frac{1}{4}\right)
   $$
   This is the same as the original expression:
   $$
   -\frac{8}{11} - \frac{3}{4} - \frac{1}{4}
   $$
   **Equivalent:** Yes.

2. **Option B:**
   $$
   \frac{3}{4} - \frac{8}{11} - \frac{1}{4}
   $$
   Simplifying:
   $$
   \left(\frac{3}{4} - \frac{1}{4}\right) - \frac{8}{11} = \frac{2}{4} - \frac{8}{11} = \frac{1}{2} - \frac{8}{11}
   $$
   This does not equal the original expression.
   **Equivalent:** No.

3. **Option C:**
   $$
   -\frac{8}{11} - \left(-\frac{3}{4}\right) - \frac{1}{4} = -\frac{8}{11} + \frac{3}{4} - \frac{1}{4}
   $$
   Simplifying:
   $$
   -\frac{8}{11} + \frac{2}{4} = -\frac{8}{11} + \frac{1}{2}
   $$
   This also does not equal the original expression.
   **Equivalent:** No.

4. **Option D:**
   $$
   \left(-\frac{1}{4} + \left(-\frac{3}{4}\right)\right) - \frac{8}{11} = -\frac{4}{4} - \frac{8}{11} = -1 - \frac{8}{11}
   $$
   This matches the original expression:
   $$
   -\frac{8}{11} - \frac{3}{4} - \frac{1}{4} = -1 - \frac{8}{11}
   $$
   **Equivalent:** Yes.

**Therefore, the correct equivalent expressions are Options A and D.**

**Answer:** A and D
The equivalent expressions are A and D.

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