Equivalent Fractions Worksheet for Grade 4: Compare pie charts and write equivalent fractions.

Let's solve the Equivalent Fractions worksheet step by step. The goal is to look at each pair of pie charts and write the equivalent fractions in the boxes below them.

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🔍 Understanding Equivalent Fractions

Two fractions are equivalent if they represent the same portion of a whole, even if the number of parts is different.

For example:
- ½ = 2/4 = 3/6 = 4/8 — all represent half of a circle.

We'll analyze each row.

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## ✔ Row-by-Row Solutions

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1. First Row (Yellow Circles)

- Left circle: Divided into 3 parts, 2 shaded → 2/3
- Right circle: Divided into 6 parts, 4 shaded → 4/6

✔ Already given:
2/3 = 4/6 ✔️

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2. Second Row (Red & White)

- Left circle: Divided into 2 parts, 1 shaded → 1/2
- Right circle: Divided into 6 parts, 3 shaded → 3/6

✔ So:
1/2 = 3/6

> ✔ Answer:
> Left box: 1/2
> Right box: 3/6

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3. Third Row (Green & White)

- Left circle: Divided into 2 parts, 1 shaded → 1/2
- Right circle: Divided into 4 parts, 2 shaded → 2/4

✔ So:
1/2 = 2/4

> ✔ Answer:
> Left box: 1/2
> Right box: 2/4

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4. Fourth Row (Purple & White)

- Left circle: Divided into 2 parts, both shaded → 2/2 = 1
- Right circle: Divided into 4 parts, all shaded → 4/4 = 1

✔ So:
2/2 = 4/4

> ✔ Answer:
> Left box: 2/2
> Right box: 4/4

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5. Fifth Row (Green & White)

- Left circle: Divided into 3 parts, 2 shaded → 2/3
- Right circle: Divided into 9 parts, 6 shaded → 6/9

✔ Check: 2/3 = 6/9? Yes! Multiply numerator and denominator by 3:
2×3=6, 3×3=9 → 6/9

> ✔ Answer:
> Left box: 2/3
> Right box: 6/9

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6. Sixth Row (Blue & White)

- Left circle: Divided into 4 parts, 3 shaded → 3/4
- Right circle: Divided into 8 parts, 6 shaded → 6/8

✔ Check: 3/4 = 6/8? Yes! Multiply numerator and denominator by 2:
3×2=6, 4×2=8 → 6/8

> ✔ Answer:
> Left box: 3/4
> Right box: 6/8

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## ✔ Final Answers:

| Pair | Left Fraction | Right Fraction |
|------|----------------|----------------|
| 1 | 2/3 | 4/6 |
| 2 | 1/2 | 3/6 |
| 3 | 1/2 | 2/4 |
| 4 | 2/2 | 4/4 |
| 5 | 2/3 | 6/9 |
| 6 | 3/4 | 6/8 |

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## 📌 Explanation Summary:
- Equivalent fractions represent the same amount.
- You can get an equivalent fraction by multiplying or dividing both numerator and denominator by the same number.
- For example:
- 1/2 = 2/4 = 3/6 = 4/8
- 2/3 = 4/6 = 6/9

This concept helps us compare and simplify fractions.

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✔ All answers filled in correctly based on visual representation.

Let me know if you'd like this formatted as a printable answer sheet!