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To solve this problem, we need to arrange the fractions \( \frac{2}{3} \), \( \frac{1}{4} \), and \( \frac{7}{8} \) on the number line. Let's first find where each fraction lies relative to the points marked A, B, and C on the line.

### Step-by-Step Solution:

1. **Locate \( \frac{1}{4} \):**
   - \( \frac{1}{4} \) is smaller than \( \frac{1}{2} \) and is closer to 0. It should be placed between 0 and A.

2. **Locate \( \frac{2}{3} \):**
   - \( \frac{2}{3} \) is larger than \( \frac{1}{2} \) but less than 1. It should be placed between B and C.

3. **Locate \( \frac{7}{8} \):**
   - \( \frac{7}{8} \) is closer to 1 but still less than 1. It should be placed to the right of C.

### Positioning on the Number Line:

- **A**: \( \frac{1}{4} \) (since it is closer to 0)
- **B**: \( \frac{2}{3} \) (between \( \frac{1}{2} \) and 1)
- **C**: \( \frac{7}{8} \) (closer to 1)

### Colored Tiles Arrangement:
From left to right:
- The first box (left) is for \( \frac{1}{4} \).
- The second box (middle) is for \( \frac{2}{3} \).
- The third box (right) is for \( \frac{7}{8} \).

Do you have any questions or need further details?

### Related Questions:
1. How do you compare fractions with different denominators?
2. How do you convert fractions into decimals to position them on a number line?
3. What are some methods for estimating fractions on a number line?
4. How can you use equivalent fractions to help with placement on a number line?
5. Why is it important to understand the size of fractions when arranging them?

**Tip:** Always convert fractions to have the same denominator or convert them to decimals for easier comparison on a number line!

Colour the fraction tiles to arrange the fractions 2/3, 1/4, and 7/8 on the number line.

Learn how to arrange fractions like 2/3, 1/4, and 7/8 on a number line. This guide explains how to compare fractions, convert them into decimals for easy positioning, and correctly place them between 0 and 1.

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