3. $$ \frac{1}{6}+\frac{1}{2} $$

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To add the fractions $$ \frac{1}{6} $$ and $$ \frac{1}{2} $$, follow these steps:

1. **Find a Common Denominator:**
   
   The denominators are 6 and 2. The least common denominator (LCD) of 6 and 2 is **6**.

2. **Convert Each Fraction to the Common Denominator:**
   
   - $$ \frac{1}{6} $$ is already in terms of 6.
   - To convert $$ \frac{1}{2} $$ to a denominator of 6:
     $$
     \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
     $$

3. **Add the Fractions:**
   
   $$
   \frac{1}{6} + \frac{3}{6} = \frac{1 + 3}{6} = \frac{4}{6}
   $$

4. **Simplify the Fraction:**
   
   $$
   \frac{4}{6} = \frac{4 \div 2}{6 \div 2} = \frac{2}{3}
   $$

**Final Answer:** 
$$
\frac{1}{6} + \frac{1}{2} = \frac{2}{3}
$$
$$ \frac{1}{6} + \frac{1}{2} = \frac{2}{3} $$

3. \( \frac{1}{6}+\frac{1}{2} \)

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