Patterns of equivalent fractions

Key Notes :

🔢 What are Equivalent Fractions?

• Equivalent fractions are different fractions that show the same value or same part of a whole.
• Example: 1/2 = 2/4 = 3/6 🟰

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🔍 How to Find Equivalent Fractions?

✨ Multiply or divide the numerator and denominator by the same number.

• Multiply 👉 1/3 × 2/2 = 2/6
• Divide 👉 6/9 ÷ 3/3 = 2/3
  📌 Remember: The value stays the same! 😊

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🧩 Patterns You Can Notice

• Fractions grow bigger in numbers but stay equal in value ➡️ 1/4, 2/8, 3/12…
• Both numerator and denominator follow the same pattern (×2, ×3, ×4…).
  🌈 Example Pattern:
  1/5 → 2/10 → 3/15 → 4/20

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🎨 Using Fraction Strips or Circles

• Visual models help students see that shapes look the same size even if the fractions look different.
  🟪🟧🟩

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📏 Simplest Form Pattern

Equivalent fractions can be reduced to a simpler version.

Example:

• 4/12 → divide by 4 → 1/3
• ✂️ This shows all fractions in the pattern match 1/3.

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🧠 Identify and Complete Patterns

Look at how the numerator and denominator change.

Example Pattern:

• 2/6, 4/12, 6/18, 8/24 (×2 each time)
• 🔍 Find the missing fraction by continuing the pattern.

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🎯 Real-Life Examples

• Cutting a pizza 🍕
• Measuring ingredients 🍰
• Sharing chocolates 🍫

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🌟 Quick Tip for Students

👉 If the numerator and denominator change in the same way, they are equivalent fractions!

Learn with an example

let’s try some problems!