Identify equivalent ratios

Key notes:

🔹 What is a Ratio?

• A ratio compares two quantities using :` or fraction form 📐
• Example: 2 : 4 or 2/4

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🔹 What Are Equivalent Ratios?

• Equivalent ratios are different ratios that show the same comparison 🔁
• They look different but have the same value ✅

👉 Example:

• 2 : 4, 4 : 8, 6 : 12 are all equivalent 🎯

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🔹 How to Identify Equivalent Ratios?

⭐ Method 1: Multiply or Divide

Multiply or divide both numbers by the same number ✖️➗

Example:

• 3 : 5
• Multiply both by 2 → 6 : 10 ✔️

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⭐ Method 2: Simplify the Ratio

Divide both numbers by their common factor 🔍

Example:

• 8 : 12
• Divide by 4 → 2 : 3 ✔️

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⭐ Method 3: Use Fractions

Change ratios into fractions and simplify 🧮

Example:

• 6 : 9 = 6/9 = 2/3 ✔️

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⭐ Method 4: Cross Multiplication

For ratios a : b and c : d

If a × d = b × c, they are equivalent 🔄

Example:

• 2 : 3 and 4 : 6
• 2 × 6 = 12, 3 × 4 = 12 ✔️

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🔹 Using Tables to Check Equivalent Ratios 📋

Apples 🍎	Oranges 🍊
2	4
4	8
6	12

✔️ All rows show the same ratio

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🔹 Real-Life Examples 🌍

• Recipes 🍰 (2 cups flour : 4 cups milk)
• Maps 🗺️ (1 cm : 10 km)
• Classroom groups 👩‍🎓👨‍🎓 (5 boys : 10 girls)

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🧠 Quick Tips 💡

• Always treat both numbers equally ⚖️
• If only one number changes → ❌ Not equivalent
• Simplest form helps compare easily ⭐

Learn with an example