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Compare fractions (which one is bigger) using two-dimensional model (e.g., Chapter 7, Fig. 7.6): 1/2 or 1/3? Draw a picture (grid) demonstrating comparison.

Here is the visual comparison of the fractions \( \frac{1}{2} \) and \( \frac{1}{3} \) using two grids:

- The grid on the left shows \( \frac{1}{2} \) as half of the area shaded.
- The grid on the right shows \( \frac{1}{3} \) with one-third of the area shaded.

As you can see, \( \frac{1}{2} \) clearly takes up more space than \( \frac{1}{3} \), making it the larger fraction.

Do you want any more details or have any further questions?

Here are 5 relative questions to deepen your understanding:
1. What happens if you compare \( \frac{1}{4} \) with \( \frac{1}{3} \)?
2. How can you convert these fractions to decimals to verify which is larger?
3. Can you represent fractions larger than 1, like \( \frac{5}{3} \), using similar grids?
4. How would you compare \( \frac{2}{3} \) and \( \frac{3}{4} \) using a grid?
5. How can you use this grid method to visualize improper fractions?

**Tip:** When comparing fractions, the larger the numerator relative to the denominator, the larger the fraction.

Visual comparison of fractions 1/2 and 1/3 using a two-dimensional grid model. This solution demonstrates how to compare fractions visually, showing that 1/2 is larger than 1/3. Suitable for students in Grades 3-5.

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