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

Ask by Ellis Nunez. in Guyana
Mar 15,2025

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The steps focus on understanding the process conceptually.

Solución

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.

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Bonus Knowledge

The steps you've outlined showcase a strong conceptual understanding of the problem. By breaking down the mixed numbers into their whole and fractional components, you are demonstrating how to manage and manipulate fractions effectively, not just regurgitating a memorized process. This approach highlights the relationships between the numbers and makes it clear how to effectively perform the operation. Additionally, this process incorporates procedural understanding. You’re carefully following each step to ensure accuracy—first dealing with whole numbers separately, then addressing the fractions. This combination enables anyone reviewing the work to grasp both how to solve similar problems and why the operations are performed in a certain way. It's like having your cake and eating it too in the world of mathematics!

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