Which of the following is the most appropriate strategy to explain that `(1)/(4)` is less than?

Options

A. using LCM method
B. using paper strips
C. using Dienes blocks
D. using number chart

Answer

To determine which strategy is the most appropriate for explaining that \( \frac{1}{4} \) is less than another fraction, we can analyze the options provided.

### Step-by-Step Solution:

1. **Understanding the Fractions**:
- We need to compare \( \frac{1}{4} \) with another fraction. For this example, let's assume we are comparing it with \( \frac{1}{2} \).
- To understand the comparison, we need to visualize the fractions.

**Hint**: Think about how fractions represent parts of a whole.

2. **Option Analysis**:
- **Option A: Using LCM Method**: This method involves finding the least common multiple to compare fractions. While it can work, it may not be the most visual or intuitive for younger learners.

**Hint**: LCM is useful for finding common denominators but might be complex for simple comparisons.

- **Option B: Using Paper Strips**: This method involves using strips of paper to represent different fractions visually. By cutting paper strips into equal parts, students can easily see that \( \frac{1}{4} \) is smaller than \( \frac{1}{2} \) because it takes up less space.

**Hint**: Visual aids often help in understanding concepts better, especially for younger students.

- **Option C: Using Denies Blocks**: This method uses blocks to represent fractions. While it can be effective, it may not be as straightforward as using paper strips for this specific comparison.

**Hint**: Concrete materials can help, but they might be more cumbersome than necessary for simple comparisons.

- **Option D: Using Number Chart**: A number chart can help visualize fractions, but it may not provide the immediate visual comparison that paper strips do.

**Hint**: Charts can be useful but may not provide the tactile experience that helps in understanding size differences.

3. **Conclusion**:
- After evaluating all the options, **Option B: Using Paper Strips** is the most appropriate strategy. It allows students to physically manipulate and compare fractions, making the concept of \( \frac{1}{4} \) being less than another fraction clear and understandable.

### Final Answer:
The most appropriate strategy to explain that \( \frac{1}{4} \) is less than another fraction is **Option B: Using Paper Strips**.

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