The sum of \( \frac{1}{2} + \frac{1}{6} \) can be calculated by finding a common denominator.

1. The denominators are 2 and 6. The least common denominator (LCD) is 6.
2. Rewrite \( \frac{1}{2} \) with a denominator of 6:  
   \( \frac{1}{2} = \frac{3}{6} \).
3. Now, add \( \frac{3}{6} + \frac{1}{6} \):
   \[
   \frac{3}{6} + \frac{1}{6} = \frac{4}{6}.
   \]
4. Simplify \( \frac{4}{6} \) by dividing both the numerator and denominator by 2:
   \[
   \frac{4}{6} = \frac{2}{3}.
   \]

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

Would you like more details on any of the steps?

Here are 5 related questions:
1. What is \( \frac{3}{4} + \frac{1}{2} \)?
2. How do you subtract \( \frac{5}{6} - \frac{1}{2} \)?
3. What is the least common denominator of \( \frac{5}{12} \) and \( \frac{7}{18} \)?
4. How do you add mixed numbers like \( 1 \frac{1}{2} + 2 \frac{1}{3} \)?
5. Can you multiply \( \frac{2}{3} \times \frac{4}{5} \)?

**Tip:** When adding or subtracting fractions, always find the least common denominator to simplify your work.

Learn how to add fractions with different denominators using the example 1/2 + 1/6. This detailed solution covers finding the least common denominator (LCD), rewriting fractions, and simplifying the result to get 2/3. Perfect for students in Grades 4-6.

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