Equivalent Fractions Worksheets 3.NF - Comparing Fractions On a Number Line - Free Printable

It looks like you've uploaded a worksheet titled "Equivalent FRACTIONS" that asks students to use <, >, or = to complete each number sentence by comparing fractions using number lines.

Since I can't view images directly, I’ll help you solve this type of problem based on the typical format of such worksheets. Let's assume the worksheet has fractions on the left, and number lines on the right, where the number line shows the location of a fraction.

Here’s how we typically approach this:

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🔍 Step-by-step Guide to Solve These Problems

Each row has:
- A fraction on the left (e.g., ½)
- A circle (○) where you place <, >, or =
- A number line showing a point marked at a certain location

Your job is to:
1. Identify what fraction is shown on the number line.
2. Compare it to the given fraction.
3. Use <, >, or = to complete the sentence.

Let’s assume the problems are like this (based on common examples):

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#### Example Problem 1:
```
½ ○ [number line from 0 to 1, divided into 4 parts, with arrow at 2nd tick]
```

- The number line is divided into 4 equal parts → each part is 1/4
- Arrow is at 2nd tick → 2/4 = ½
- So: ½ = ½ → Answer: =

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#### Example Problem 2:
```
⅓ ○ [number line from 0 to 1, divided into 6 parts, arrow at 2nd tick]
```

- Number line: 6 parts → each is 1/6
- Arrow at 2nd tick → 2/6 = 1/3
- So: ⅓ = ⅓ → Answer: =

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#### Example Problem 3:
```
¼ ○ [number line from 0 to 1, divided into 8 parts, arrow at 3rd tick]
```

- 8 parts → each is 1/8
- Arrow at 3rd tick → 3/8
- Compare: ¼ = 2/8, and 2/8 < 3/8
- So: ¼ < 3/8 → Answer: <

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#### Example Problem 4:
```
¾ ○ [number line from 0 to 1, divided into 8 parts, arrow at 6th tick]
```

- 8 parts → each 1/8
- Arrow at 6th tick → 6/8 = 3/4
- So: ¾ = ¾ → Answer: =

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#### Example Problem 5:
```
⅔ ○ [number line from 0 to 1, divided into 6 parts, arrow at 4th tick]
```

- 6 parts → each 1/6
- Arrow at 4th tick → 4/6 = 2/3
- So: ⅔ = ⅔ → Answer: =

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#### Example Problem 6:
```
⅜ ○ [number line from 0 to 1, divided into 8 parts, arrow at 5th tick]
```

- Arrow at 5th tick → 5/8
- ⅜ = 2/8? No! ⅜ = 3/8
- 3/8 < 5/8 → So: ⅜ < 5/8 → Answer: <

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✔ Final Answers (Assuming Standard Format)

| Fraction | Comparison | Number Line Value | Symbol |
|--------|------------|-------------------|--------|
| ½ | ○ | 2/4 | = |
| ⅓ | ○ | 2/6 | = |
| ¼ | ○ | 3/8 | < |
| ¾ | ○ | 6/8 | = |
| ⅔ | ○ | 4/6 | = |
| ⅜ | ○ | 5/8 | < |

So, the completed worksheet would have:

1. ½ = ½
2. ⅓ = ⅓
3. ¼ < ⅜
4. ¾ = ¾
5. ⅔ = ⅔
6. ⅜ < ⅝

> Note: If your image has different fractions or markings, please describe them (e.g., “the first one has ½ and the number line shows a mark at 3 out of 6”), and I’ll adjust accordingly.

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🧠 Key Concept:

- Equivalent fractions represent the same point on the number line.
- To compare, convert both to same denominator or use visual representation.
- Always check how many equal parts the number line is divided into!

Let me know if you'd like me to walk through your actual image description — just tell me the fractions and what’s shown on each number line!