Place Fractions on the Number Line (solutions, examples, videos ... - Free Printable

To solve the problem of locating and labeling the given fractions on the number lines, we need to simplify each fraction and then place it correctly on the respective number line. Let's go through each part step by step.

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Part 1: Locate and label the following fractions on the number line.

The fractions are:
- \( \frac{0}{6} \)
- \( \frac{6}{6} \)
- \( \frac{12}{6} \)
- \( \frac{3}{6} \)
- \( \frac{9}{6} \)

#### Simplify each fraction:
1. \( \frac{0}{6} = 0 \)
2. \( \frac{6}{6} = 1 \)
3. \( \frac{12}{6} = 2 \)
4. \( \frac{3}{6} = \frac{1}{2} \)
5. \( \frac{9}{6} = \frac{3}{2} = 1.5 \)

#### Place the simplified fractions on the number line:
- \( 0 \) is at the starting point.
- \( 1 \) is one unit from the start.
- \( 2 \) is two units from the start.
- \( \frac{1}{2} \) is halfway between \( 0 \) and \( 1 \).
- \( 1.5 \) is halfway between \( 1 \) and \( 2 \).

#### Label the number line:
```
<---|-----|-----|-----|-----|---->
0 1 2 3 4
^ ^ ^ ^
1/2 1 2 3/2
```

---

Part 2: Locate and label the following fractions on the number line.

The fractions are:
- \( \frac{8}{4} \)
- \( \frac{6}{4} \)
- \( \frac{12}{4} \)
- \( \frac{16}{4} \)
- \( \frac{4}{4} \)

#### Simplify each fraction:
1. \( \frac{8}{4} = 2 \)
2. \( \frac{6}{4} = \frac{3}{2} = 1.5 \)
3. \( \frac{12}{4} = 3 \)
4. \( \frac{16}{4} = 4 \)
5. \( \frac{4}{4} = 1 \)

#### Place the simplified fractions on the number line:
- \( 1 \) is one unit from the start.
- \( 1.5 \) is halfway between \( 1 \) and \( 2 \).
- \( 2 \) is two units from the start.
- \( 3 \) is three units from the start.
- \( 4 \) is four units from the start.

#### Label the number line:
```
<---|-----|-----|-----|-----|---->
1 2 3 4 5
^ ^ ^ ^
1 3/2 2 3 4
```

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Part 3: Locate and label the following fractions on the number line.

The fractions are:
- \( \frac{18}{3} \)
- \( \frac{14}{3} \)
- \( \frac{9}{3} \)
- \( \frac{11}{3} \)
- \( \frac{6}{3} \)

#### Simplify each fraction:
1. \( \frac{18}{3} = 6 \)
2. \( \frac{14}{3} = 4 \frac{2}{3} \approx 4.67 \)
3. \( \frac{9}{3} = 3 \)
4. \( \frac{11}{3} = 3 \frac{2}{3} \approx 3.67 \)
5. \( \frac{6}{3} = 2 \)

#### Place the simplified fractions on the number line:
- \( 2 \) is two units from the start.
- \( 3 \) is three units from the start.
- \( 3 \frac{2}{3} \) is between \( 3 \) and \( 4 \), closer to \( 4 \).
- \( 4 \frac{2}{3} \) is between \( 4 \) and \( 5 \), closer to \( 5 \).
- \( 6 \) is six units from the start.

#### Label the number line:
```
<---|-----|-----|-----|-----|-----|---->
2 3 4 5 6 7
^ ^ ^ ^ ^
2 3 11/3 14/3 6
```

---

Final Answer:

\[
\boxed{
\begin{array}{l}
\text{Part 1: } 0, 1, 2, \frac{1}{2}, 1.5 \\
\text{Part 2: } 1, 1.5, 2, 3, 4 \\
\text{Part 3: } 2, 3, 3 \frac{2}{3}, 4 \frac{2}{3}, 6
\end{array}
}
\]