To solve the equation \(\dfrac{1}{2} + \dfrac{8}{12}\), we need to add the two fractions.

1. Find the least common denominator (LCD) of 2 and 12. The LCD is 12.
2. Convert \(\dfrac{1}{2}\) to have a denominator of 12:
   \[
   \dfrac{1}{2} = \dfrac{6}{12}
   \]
3. Now, add the fractions:
   \[
   \dfrac{6}{12} + \dfrac{8}{12} = \dfrac{14}{12}
   \]
4. Simplify \(\dfrac{14}{12}\) by dividing both the numerator and the denominator by 2:
   \[
   \dfrac{14}{12} = \dfrac{7}{6}
   \]

So, \(\dfrac{1}{2} + \dfrac{8}{12} = \dfrac{7}{6}\).

Would you like more details or have any questions?

Here are five related questions:

1. How do you add fractions with different denominators?
2. What is the least common denominator (LCD) and how is it found?
3. How do you simplify a fraction?
4. How do you convert improper fractions to mixed numbers?
5. How do you subtract fractions with unlike denominators?

**Tip**: Always simplify fractions when possible to make your final answer clearer!

Learn how to add \dfrac{1}{2} and \dfrac{8}{12} by finding the least common denominator and simplifying the result. This guide covers key concepts in fraction addition and simplification, suitable for Grades 4-6.

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