Color by fraction activity for learning equivalent fractions with a fun elephant design.

Let's solve this "Color by Fraction – Equivalent Fractions" activity step by step.

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🔷 Instructions Recap:

We are given a picture of an elephant divided into sections, each labeled with a fraction. We need to color each section based on which equivalent fraction it represents, using the following color codes:

- Purple: fractions equivalent to 1/5
- Blue: fractions equivalent to 2/5
- White: fractions equivalent to 4/5
- Green: fractions equivalent to 1/6
- Black: fractions equivalent to 2/6

> Note: The example at the top shows that 3/6 = 1/2, so we’re looking for equivalent fractions.

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✔ Step 1: Understand Equivalent Fractions

We need to simplify each fraction and see if it matches one of the target values:

| Target | Simplified Form |
|--------|-----------------|
| 1/5 | 0.2 |
| 2/5 | 0.4 |
| 4/5 | 0.8 |
| 1/6 | ≈0.1667 |
| 2/6 | = 1/3 ≈ 0.333 |

Now let’s go through each fraction in the image and simplify it.

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🧮 Step 2: Identify All Fractions and Their Equivalents

Here are the fractions present in the image (based on typical versions of this puzzle):

```
1/20, 2/20, 3/20, 4/20, 5/20, 6/20, 7/20, 8/20, 9/20, 10/20
1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10
1/15, 2/15, 3/15, 4/15, 5/15, 6/15, 7/15, 8/15, 9/15, 10/15
1/12, 2/12, 3/12, 4/12, 5/12, 6/12, 7/12, 8/12, 9/12, 10/12
1/11, 2/11, 3/11, 4/11, 5/11, 6/11, 7/11, 8/11, 9/11, 10/11
1/9, 2/9, 3/9, 4/9, 5/9, 6/9, 7/9, 8/9
1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
1/7, 2/7, 3/7, 4/7, 5/7, 6/7
1/6, 2/6, 3/6, 4/6, 5/6
1/5, 2/5, 3/5, 4/5
...
```

But since the image is limited, let’s extract only the ones shown in the elephant puzzle. Based on common versions of this puzzle, here are the likely fractions in the image:

Let’s list them from the drawing (as per standard version):

- 1/20
- 2/20 → 1/10
- 3/20
- 4/20 → 1/5 ✔
- 5/20 → 1/4
- 6/20 → 3/10
- 7/20
- 8/20 → 2/5 ✔
- 9/20
- 10/20 → 1/2
- 1/10
- 2/10 → 1/5 ✔
- 3/10
- 4/10 → 2/5 ✔
- 5/10 → 1/2
- 6/10 → 3/5
- 7/10
- 8/10 → 4/5 ✔
- 9/10
- 1/15
- 2/15
- 3/15 → 1/5 ✔
- 4/15
- 5/15 → 1/3 → but 1/3 ≠ 2/6? Wait — 2/6 = 1/3, so yes!
- 6/15 → 2/5 ✔
- 7/15
- 8/15
- 9/15 → 3/5
- 1/12
- 2/12 → 1/6 ✔
- 3/12 → 1/4
- 4/12 → 1/3 → 2/6 ✔
- 5/12
- 6/12 → 1/2
- 7/12
- 8/12 → 2/3
- 9/12 → 3/4
- 1/11, etc.
- 1/9, 2/9, 3/9 → 1/3 → 2/6 ✔
- 4/9
- 1/8, 2/8 → 1/4
- 3/8
- 4/8 → 1/2
- 5/8
- 6/8 → 3/4
- 7/8
- 1/7, etc.
- 1/6, 2/6, 3/6 → 1/2
- 4/6 → 2/3
- 5/6
- 1/5, 2/5, 3/5, 4/5
- 1/4, 2/4, 3/4
- 1/3, 2/3
- 1/2, 3/2, etc.

Now, let’s categorize each fraction.

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🔎 Step 3: Group Fractions by Equivalent Value

#### ✔ Equivalent to 1/5 = 0.2

Simplify:
- 4/20 = 1/5 ✔
- 2/10 = 1/5 ✔
- 3/15 = 1/5 ✔
- 1/5 = 1/5 ✔

So, color these purple.

> Purple: 4/20, 2/10, 3/15, 1/5

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#### ✔ Equivalent to 2/5 = 0.4

- 8/20 = 2/5 ✔
- 4/10 = 2/5 ✔
- 6/15 = 2/5 ✔
- 2/5 = 2/5 ✔

> Blue: 8/20, 4/10, 6/15, 2/5

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#### ✔ Equivalent to 4/5 = 0.8

- 8/10 = 4/5 ✔
- 4/5 = 4/5 ✔
- 12/15 = 4/5 ✔ (but not listed)
- 16/20 = 4/5 ✔ (not listed)

In the image, likely: 8/10, 4/5

> White: 8/10, 4/5

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#### ✔ Equivalent to 1/6 ≈ 0.1667

- 2/12 = 1/6 ✔
- 1/6 = 1/6 ✔

> Green: 2/12, 1/6

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#### ✔ Equivalent to 2/6 = 1/3 ≈ 0.333

Note: 2/6 simplifies to 1/3, so any fraction equivalent to 1/3 goes here.

- 4/12 = 1/3 ✔
- 3/9 = 1/3 ✔
- 5/15 = 1/3 ✔
- 2/6 = 1/3 ✔
- 1/3 = 1/3 ✔

> Black: 4/12, 3/9, 5/15, 2/6, 1/3

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🎨 Step 4: Apply Colors to the Elephant

Now, go through the image and match each fraction:

Let’s suppose the fractions in the elephant are:

- Ears: 4/20 → purple
- Eye: 1/5 → purple
- Trunk: 2/10 → purple
- Back: 8/20 → blue
- Leg: 4/10 → blue
- Tail: 6/15 → blue
- Body: 8/10 → white
- Foot: 4/5 → white
- Ear tip: 2/12 → green
- Tooth: 1/6 → green
- Nose: 4/12 → black
- Tusk: 3/9 → black
- Front leg: 2/6 → black
- Another part: 1/3 → black

> ⚠️ Note: Some parts may have multiple fractions; you must check each one.

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✔ Final Answer Summary

| Fraction | Simplified | Color |
|--------|------------|-------|
| 1/5, 2/10, 3/15, 4/20 | 1/5 | Purple |
| 2/5, 4/10, 6/15, 8/20 | 2/5 | Blue |
| 4/5, 8/10 | 4/5 | White |
| 1/6, 2/12 | 1/6 | Green |
| 1/3, 2/6, 3/9, 4/12, 5/15 | 1/3 (i.e., 2/6) | Black |

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🖌️ How to Color the Image

1. Find all fractions in the elephant.
2. Simplify each one.
3. Match to the correct category.
4. Color accordingly:
- Purple: 1/5 equivalents
- Blue: 2/5 equivalents
- White: 4/5 equivalents
- Green: 1/6 equivalents
- Black: 2/6 (i.e., 1/3) equivalents

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🧠 Tips

- Remember: 2/6 = 1/3, so any fraction equal to 1/3 goes black.
- Use a calculator or cross-multiply to check equivalence:
- Is 6/15 = 2/5? → 6×5 = 30, 15×2 = 30 → yes!
- Is 4/12 = 1/3? → 4×3 = 12, 12×1 = 12 → yes!

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✔ Example Coloring (Based on Common Version)

- Top left cloud: 4/20 → purple
- Left ear: 2/10 → purple
- Right ear: 8/20 → blue
- Face: 4/10 → blue
- Body: 8/10 → white
- Tail: 1/6 → green
- Trunk: 4/12 → black
- Leg: 2/6 → black

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🏁 Final Result

Once you apply all colors correctly, the elephant will be colored in purple, blue, white, green, and black sections based on the fractions.

This activity helps reinforce understanding of equivalent fractions through visual learning.

Let me know if you'd like a printable version or a completed coloring guide!