1. The problem states that Leeland and Graciela each have a sandwich of the same size. 2. Leeland eats $\frac{1}{2}$ of his sandwich. 3. Graciela's sandwich is cut into 4 equal pieces. 4. We need to find the fraction that shows the amount of her sandwich that Graciela eats. 5. Since the sandwich is cut into 4 equal pieces, each piece is $\frac{1}{4}$ of the sandwich. 6. The question implies Graciela eats some number of these pieces, but the only fraction options given are $\frac{2}{4}$, $\frac{4}{2}$, $\frac{2}{5}$, and $\frac{1}{4}$. 7. To match Leeland's amount eaten ($\frac{1}{2}$), Graciela must eat an equivalent fraction of her sandwich. 8. Note that $\frac{2}{4}$ simplifies to $\frac{1}{2}$, which matches Leeland's amount. 9. Therefore, the correct fraction showing the amount Graciela eats is $\frac{2}{4}$. Final answer: $\boxed{\frac{2}{4}}$ (Option A)