10. $$ 7 \cdot \frac{1}{2}+3 \cdot \frac{1}{2}=(\square) \frac{1}{2} $$

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To solve the equation:

$$ 7 \cdot \frac{1}{2} + 3 \cdot \frac{1}{2} = (\square) \cdot \frac{1}{2} $$

1. **Calculate each term:**
   
   $$
   7 \cdot \frac{1}{2} = \frac{7}{2}
   $$
   
   $$
   3 \cdot \frac{1}{2} = \frac{3}{2}
   $$

2. **Add the two results:**
   
   $$
   \frac{7}{2} + \frac{3}{2} = \frac{10}{2} = 5
   $$

3. **Express the sum as a multiple of $$\frac{1}{2}$$:**
   
   $$
   5 = 10 \cdot \frac{1}{2}
   $$
   
   Therefore, the blank $$(\square)$$ should be filled with **10**.

**Final Answer:**

$$ 7 \cdot \frac{1}{2} + 3 \cdot \frac{1}{2} = 10 \cdot \frac{1}{2} $$
The blank should be filled with 10.

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