To add the fractions \( \frac{1}{2} + \frac{8}{11} \), we first need to find a common denominator.

1. The least common denominator (LCD) of 2 and 11 is 22.
2. Rewrite both fractions with the LCD of 22:
   \[
   \frac{1}{2} = \frac{11}{22}, \quad \frac{8}{11} = \frac{16}{22}
   \]
3. Now, add the two fractions:
   \[
   \frac{11}{22} + \frac{16}{22} = \frac{27}{22}
   \]

The result is \( \frac{27}{22} \), which is an improper fraction and can also be written as a mixed number:

\[
\frac{27}{22} = 1 \frac{5}{22}
\]

Would you like more details on this process?

Here are 5 related questions:
1. How do you find the least common denominator between two numbers?
2. What is the difference between an improper fraction and a mixed number?
3. How can you convert a mixed number back into an improper fraction?
4. What are other methods for adding fractions with different denominators?
5. How do you subtract fractions with different denominators?

**Tip:** Always simplify fractions where possible to get the final result in its simplest form.

Learn how to add fractions with different denominators using 1/2 + 8/11 as an example. This guide covers finding the least common denominator (LCD) and adding fractions, showing step-by-step how to get from 1/2 + 8/11 to the solution of 27/22, or 1 5/22 as a mixed number. Suitable for students in Grades 5-7.

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