To find the sum of \( \frac{1}{8} + \frac{1}{2} \), we first need to express \(\frac{1}{2}\) with an eighth as the denominator.
We can convert \( \frac{1}{2} \) to eighths:
\[ \frac{1}{2} = \frac{4}{8} \]
Now we can add \( \frac{1}{8} \) to \( \frac{4}{8} \):
\[ \frac{1}{8} + \frac{4}{8} = \frac{5}{8} \]
So, \( \frac{1}{8} + \frac{1}{2} = \frac{5}{8} \).
Interpretation in the context of the problem:
In the context of Micah's cinnamon and sugar mixture, we can interpret this sum by noting that \( \frac{1}{8} \) could represent an additional amount of cinnamon or sugar that Micah might want to sprinkle on top of his original mixture. The sum of \( \frac{5}{8} \) cups indicates the total amount of a specific ingredient after adding a small portion (like an additional cinnamon or sugar) to the original measurement. However, based on the recipe given (\( \frac{1}{2} \) cup of sugar and \( \frac{1}{8} \) cup), we can interpret that the \( \frac{5}{8} \) cups could represent a larger batch or total mixture if you were considering both cinnamon and sugar together in part of a serving, but that's an interpretation that extends beyond the simple additive context of the materials specified.