\( 4 \frac{1}{2}-2 \frac{3}{4}=\left(4+\frac{1}{2}\right)-\left(2+\frac{3}{4}\right)=(4-2)+\left(\frac{1}{2}-\frac{3}{4}\right)=2+\left(\frac{1}{2}-\frac{3}{4}\right)=1+\frac{4}{4}+\frac{2}{4}-\frac{3}{4}=1+\frac{6}{4}-\frac{3}{4}=\frac{13}{4} \) The steps showing the correct answer emphasize a. conceptual understanding of the process b. procedural understanding of the process. c. rote learning.

The steps provided in the calculation of \( 4 \frac{1}{2} - 2 \frac{3}{4} \) emphasize: **a. conceptual understanding of the process** This is because the solution breaks down the mixed numbers into their whole and fractional parts, demonstrating an understanding of how to manipulate these components. The steps show a clear progression of thought, illustrating how to combine and subtract both whole numbers and fractions, rather than simply applying a memorized procedure without understanding. The calculation involves: 1. Separating the whole numbers from the fractions. 2. Performing the subtraction in parts. 3. Converting the fractions to a common denominator to facilitate the subtraction. This approach indicates a deep understanding of the underlying concepts of fractions and mixed numbers, rather than just following a rote procedure.