Fractions on a Number Line -Worksheets Library - Free Printable

You're working on a “Number Lines - Fractions” worksheet from Superstar Worksheets. The task is to identify where each set of fractions should be placed on the number lines shown.

Each number line goes from 0 to 3, with whole numbers (0, 1, 2, 3) clearly marked. Since we’re dealing with halves (½), you need to divide each whole-number segment (like between 0 and 1, or 1 and 2) into two equal parts — meaning there’s a tick mark halfway between each whole number.

---

Key Concept:

- ½ = 0.5 → halfway between 0 and 1
- 1½ = 1.5 → halfway between 1 and 2
- 2½ = 2.5 → halfway between 2 and 3

So for every number line, you’ll place points at these half-way marks depending on which fractions are given.

---

Let’s go problem by problem:

---

Problem 1: 1, ½, 1½

You need to place three points:
- ½ → halfway between 0 and 1
- 1 → already marked on the line
- 1½ → halfway between 1 and 2

✔ So, mark:
- One point at 0.5
- One point at 1.0 (already there)
- One point at 1.5

---

Problem 2: ½, 2½

Place two points:
- ½ → halfway between 0 and 1
- 2½ → halfway between 2 and 3

✔ Mark:
- One point at 0.5
- One point at 2.5

---

Problem 3: 2½, 1½

Place two points:
- 1½ → halfway between 1 and 2
- 2½ → halfway between 2 and 3

✔ Mark:
- One point at 1.5
- One point at 2.5

---

Problem 4: 2½, ½

Same as Problem 2 — just in different order.
- ½ → 0.5
- 2½ → 2.5

✔ Mark:
- One point at 0.5
- One point at 2.5

---

Problem 5: ½, 1½

Same as Problem 3 — just reversed.
- ½ → 0.5
- 1½ → 1.5

✔ Mark:
- One point at 0.5
- One point at 1.5

---

## ✔ Final Answer Summary:

You don’t need to write answers — you just need to draw dots on the number lines at the correct positions.

Here’s how to label them mentally or with pencil:

| Problem | Fractions | Positions to Mark (on number line) |
|---------|------------------|---------------------------------------------|
| 1 | 1, ½, 1½ | 0.5, 1.0, 1.5 |
| 2 | ½, 2½ | 0.5, 2.5 |
| 3 | 2½, 1½ | 1.5, 2.5 |
| 4 | 2½, ½ | 0.5, 2.5 |
| 5 | ½, 1½ | 0.5, 1.5 |

---

📌 Tip: If you’re doing this on paper, lightly draw small vertical ticks or dots at the halfway points between the whole numbers (e.g., between 0 and 1, 1 and 2, 2 and 3), then place your points exactly on those half-marks.

Let me know if you’d like a visual sketch or printable version!