Represent the Fractions on the Number Line — Printable Math Worksheet - Free Printable

Let's solve each part of this "Fractions on Number Line" worksheet step by step. The goal is to mark the given fractions on a number line from 0 to 1, dividing the line into equal parts based on the denominator.

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🔷 Problem 1: Mark $ \frac{1}{5}, \frac{2}{5}, \frac{4}{5} $

- The denominator is 5, so divide the number line from 0 to 1 into 5 equal parts.
- Each part represents $ \frac{1}{5} $.
- So:
- $ \frac{1}{5} $ → 1st tick mark after 0
- $ \frac{2}{5} $ → 2nd tick mark
- $ \frac{4}{5} $ → 4th tick mark

✔ Mark at positions:
→ First tick: $ \frac{1}{5} $
→ Second tick: $ \frac{2}{5} $
→ Fourth tick: $ \frac{4}{5} $

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🔷 Problem 2: Mark $ \frac{1}{6}, \frac{2}{6}, \frac{4}{6} $

- Denominator is 6, so divide the number line into 6 equal parts.
- Each part = $ \frac{1}{6} $
- So:
- $ \frac{1}{6} $ → 1st tick
- $ \frac{2}{6} $ → 2nd tick
- $ \frac{4}{6} $ → 4th tick

Note: $ \frac{4}{6} $ can be simplified to $ \frac{2}{3} $, but we keep it as $ \frac{4}{6} $ for marking.

✔ Mark at positions:
→ 1st tick: $ \frac{1}{6} $
→ 2nd tick: $ \frac{2}{6} $
→ 4th tick: $ \frac{4}{6} $

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🔷 Problem 3: Mark $ \frac{2}{8}, \frac{4}{8}, \frac{7}{8} $

- Denominator is 8, so divide the number line into 8 equal parts.
- Each part = $ \frac{1}{8} $
- So:
- $ \frac{2}{8} $ → 2nd tick
- $ \frac{4}{8} $ → 4th tick (which is $ \frac{1}{2} $)
- $ \frac{7}{8} $ → 7th tick

✔ Mark at positions:
→ 2nd tick: $ \frac{2}{8} $
→ 4th tick: $ \frac{4}{8} $
→ 7th tick: $ \frac{7}{8} $

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🔷 Problem 4: Mark $ \frac{3}{10}, \frac{6}{10}, \frac{9}{10} $

- Denominator is 10, so divide the number line into 10 equal parts.
- Each part = $ \frac{1}{10} $
- So:
- $ \frac{3}{10} $ → 3rd tick
- $ \frac{6}{10} $ → 6th tick (which is $ \frac{3}{5} $)
- $ \frac{9}{10} $ → 9th tick

✔ Mark at positions:
→ 3rd tick: $ \frac{3}{10} $
→ 6th tick: $ \frac{6}{10} $
→ 9th tick: $ \frac{9}{10} $

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✔ Summary of How to Mark:

| Fraction | Denominator | Divide into | Tick Position |
|--------|-------------|-------------|----------------|
| $ \frac{1}{5}, \frac{2}{5}, \frac{4}{5} $ | 5 | 5 parts | 1st, 2nd, 4th |
| $ \frac{1}{6}, \frac{2}{6}, \frac{4}{6} $ | 6 | 6 parts | 1st, 2nd, 4th |
| $ \frac{2}{8}, \frac{4}{8}, \frac{7}{8} $ | 8 | 8 parts | 2nd, 4th, 7th |
| $ \frac{3}{10}, \frac{6}{10}, \frac{9}{10} $ | 10 | 10 parts | 3rd, 6th, 9th |

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📌 Tips:

- Always divide the number line from 0 to 1 into equal segments based on the denominator.
- Count the ticks starting from 0.
- You can simplify fractions, but when marking, use the original denominator to match the divisions.

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🖼️ Visual Guide (Imagine):

For example, in Problem 1 ($ \frac{1}{5}, \frac{2}{5}, \frac{4}{5} $):

```
0 ----|----|----|----|----|---- 1
1/5 2/5 4/5
```

Each space = $ \frac{1}{5} $

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You can now draw these marks accurately on the number lines provided in the worksheet! Let me know if you'd like a visual sketch or printable version. 😊