Matching Fractions On A Number Line Worksheet - Free Printable

Let's solve this step-by-step.

Task: Matching Fractions on a Number Line

We are given 7 number lines, each with a point marked between 0 and 1. We need to match each number line to the correct fraction from the list on the right:

- $ \frac{1}{2} $
- $ \frac{2}{5} $
- $ \frac{3}{6} $
- $ \frac{2}{3} $
- $ \frac{2}{4} $
- $ \frac{4}{5} $
- $ \frac{1}{3} $

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Step 1: Understand Each Number Line

Each number line goes from 0 to 1 and is divided into equal segments. The point is marked at a specific tick. We will determine what fraction that point represents by counting how many parts it is from 0.

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Number Line 1:

- Divided into 5 equal parts (since there are 4 ticks between 0 and 1).
- The point is at the 2nd tick → $ \frac{2}{5} $

✔ Match: $ \frac{2}{5} $

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Number Line 2:

- Divided into 2 equal parts (one tick in middle).
- Point is at the middle → $ \frac{1}{2} $

✔ Match: $ \frac{1}{2} $

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Number Line 3:

- Divided into 3 equal parts.
- Point is at the 1st tick → $ \frac{1}{3} $

✔ Match: $ \frac{1}{3} $

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Number Line 4:

- Divided into 4 equal parts.
- Point is at the 2nd tick → $ \frac{2}{4} $

✔ Match: $ \frac{2}{4} $

Note: $ \frac{2}{4} = \frac{1}{2} $, but we still use the form given.

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Number Line 5:

- Divided into 5 equal parts.
- Point is at the 4th tick → $ \frac{4}{5} $

✔ Match: $ \frac{4}{5} $

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Number Line 6:

- Divided into 3 equal parts.
- Point is at the 2nd tick → $ \frac{2}{3} $

✔ Match: $ \frac{2}{3} $

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Number Line 7:

- Divided into 6 equal parts.
- Point is at the 3rd tick → $ \frac{3}{6} $

✔ Match: $ \frac{3}{6} $

Note: $ \frac{3}{6} = \frac{1}{2} $, but again, we use the listed form.

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Now, let’s assign each number line to its matching fraction:

| Number Line | Fraction |
|-------------|----------|
| 1 | $ \frac{2}{5} $ |
| 2 | $ \frac{1}{2} $ |
| 3 | $ \frac{1}{3} $ |
| 4 | $ \frac{2}{4} $ |
| 5 | $ \frac{4}{5} $ |
| 6 | $ \frac{2}{3} $ |
| 7 | $ \frac{3}{6} $ |

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✔ Final Answer:

Match each number line to the corresponding fraction:

1. $ \frac{2}{5} $
2. $ \frac{1}{2} $
3. $ \frac{1}{3} $
4. $ \frac{2}{4} $
5. $ \frac{4}{5} $
6. $ \frac{2}{3} $
7. $ \frac{3}{6} $

> 💡 Tip: Simplify fractions if needed for comparison, but since the options are given in various forms, use the exact match as listed.

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Summary:

You would draw a line or place a dot next to each number line connecting it to the correct fraction on the right side.

For example:
- First number line → connect to $ \frac{2}{5} $
- Second → $ \frac{1}{2} $
- Third → $ \frac{1}{3} $
- Fourth → $ \frac{2}{4} $
- Fifth → $ \frac{4}{5} $
- Sixth → $ \frac{2}{3} $
- Seventh → $ \frac{3}{6} $

That completes the task! 🎉