Evaluate : `((4 + 8)/(2-(-6)))(4+8 -: 2 -(-6))`

Answer

To evaluate the expression `((4 + 8)/(2 - (-6)))(4 + 8 -: 2 - (-6))`, we will follow the order of operations, also known as PEMDAS/BODMAS.

### Step-by-Step Solution:

1. **Evaluate the first part of the expression:**
\[ 4 + 8 \]
- Calculation: \(4 + 8 = 12\)

**Hint:** Always start by simplifying expressions inside parentheses.

2. **Evaluate the second part of the denominator:**
\[ 2 - (-6) \]
- Calculation: \(2 - (-6) = 2 + 6 = 8\)

**Hint:** Remember that subtracting a negative number is the same as adding its positive counterpart.

3. **Combine the results from steps 1 and 2:**
\[ \frac{12}{8} \]
- Calculation: Simplifying gives us \(\frac{12}{8} = \frac{3}{2}\)

**Hint:** Always simplify fractions to their lowest terms.

4. **Now evaluate the second part of the expression:**
\[ 4 + 8 -: 2 - (-6) \]
- First, calculate \(2 - (-6)\) again, which we already found to be \(8\).
- Now, evaluate \(4 + 8\):
\[ 4 + 8 = 12 \]
- Then divide \(12\) by \(8\):
\[ 12 -: 8 = \frac{12}{8} = \frac{3}{2} \]

**Hint:** When you see the division symbol (-:), remember it indicates division.

5. **Now combine both parts of the expression:**
\[ \left(\frac{3}{2}\right) \times \left(\frac{3}{2}\right) \]
- Calculation: \(\frac{3}{2} \times \frac{3}{2} = \frac{9}{4}\)

**Hint:** When multiplying fractions, multiply the numerators together and the denominators together.

6. **Final Result:**
\[ \frac{9}{4} \]

### Final Answer:
The evaluated expression is \(\frac{9}{4}\).