Put Fractions on a Number Line Activity | Grade 4-6 Math - Free Printable

It looks like you've uploaded a worksheet titled "Fractions on a Number Line" with the goal of comparing and ordering fractions by placing them correctly on a number line from 0 to 1. Let's go through the task step-by-step and solve it.

---

🔍 Understanding the Task

The aim is:
> Compare and order fractions with appropriate denominators and position them on the number line.

We are given two main problems:

---

## ✔ Problem 1: Place these fractions on the number line:
$$
\frac{1}{2}, \quad \frac{3}{4}, \quad \frac{1}{4}
$$

Step 1: Understand the number line

- The number line goes from 0 to 1.
- We need to divide the line into equal parts based on the denominators of the fractions.

Here, the denominators are 2, 4, and 4, so we should divide the number line into fourths (since 4 is the least common denominator).

So, mark the number line at:
$$
0, \frac{1}{4}, \frac{2}{4} = \frac{1}{2}, \frac{3}{4}, 1
$$

Now place each fraction:
- $\frac{1}{4}$ → one-quarter of the way from 0 to 1 → first tick after 0
- $\frac{1}{2}$ → halfway → second tick
- $\frac{3}{4}$ → three-quarters → third tick

✔ So on the number line:
```
0 1/4 1/2 3/4 1
|----|----|----|----|
↑ ↑ ↑
1/4 1/2 3/4
```

---

## ✔ Problem 2: Place these fractions on the number line:
$$
\frac{5}{6}, \quad \frac{1}{6}, \quad \frac{4}{6}, \quad \frac{2}{6}
$$

Step 1: Use sixths

Since all denominators are 6, divide the number line into six equal parts.

Mark the number line:
$$
0, \frac{1}{6}, \frac{2}{6}, \frac{3}{6}, \frac{4}{6}, \frac{5}{6}, 1
$$

Now place each fraction:
- $\frac{1}{6}$ → first tick
- $\frac{2}{6}$ → second tick
- $\frac{4}{6}$ → fourth tick
- $\frac{5}{6}$ → fifth tick

✔ On the number line:
```
0 1/6 2/6 3/6 4/6 5/6 1
|----|----|----|----|----|----|
↑ ↑ ↑ ↑
1/6 2/6 4/6 5/6
```

Note: $\frac{3}{6} = \frac{1}{2}$, but it’s not one of the fractions to plot.

---

## 📝 Summary of Answers

Problem 1:

- $\frac{1}{4}$ → at 1st tick (after 0)
- $\frac{1}{2}$ → at 2nd tick
- $\frac{3}{4}$ → at 3rd tick

Problem 2:

- $\frac{1}{6}$ → at 1st tick
- $\frac{2}{6}$ → at 2nd tick
- $\frac{4}{6}$ → at 4th tick
- $\frac{5}{6}$ → at 5th tick

---

## 💡 Tips for Students:
- Always look at the denominator to know how many equal parts to divide the number line into.
- Convert fractions to have the same denominator if needed (e.g., $\frac{1}{2} = \frac{2}{4}$).
- Order fractions from smallest to largest before placing them.

---

Let me know if you'd like a visual diagram or want help with the right-hand side of the worksheet (which appears to be more advanced).