A tray of lasagna is half full. Daniel eats \( \frac{1}{4} \) of the remaining lasagna in the tray What fraction of the whole tray did Daniel eat?

When Daniel starts, the tray is half full, which we can represent as \( \frac{1}{2} \). After Daniel eats \( \frac{1}{4} \) of what is left, we first calculate how much lasagna is left for Daniel to eat. The amount remaining in the tray is \( \frac{1}{2} \), and if he eats \( \frac{1}{4} \) of the remaining amount, we compute: \[ \text{Amount eaten by Daniel} = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8} \] Now, to determine what fraction of the whole tray Daniel ate: \[ \text{Fraction of whole tray eaten} = \frac{1}{8} \] Thus, Daniel ate \( \frac{1}{8} \) of the whole tray of lasagna.