Write an equivalent ratio

key notes :

1️⃣ What is a Ratio?

• A ratio compares two or more quantities.
• Example: If there are 4 red balls 🟥 and 2 blue balls 🟦, the ratio of red to blue balls is 4:2.

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2️⃣ Equivalent Ratios 🔄

Equivalent ratios are ratios that have the same value when simplified.

They may look different but represent the same proportion.

Example:

• 4:2 ✅
• 8:4 ✅
• 12:6 ✅

All these are equivalent because they simplify to 2:1.

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3️⃣ How to Write an Equivalent Ratio ✏️

Method 1: Multiply or Divide

• Multiply or divide both terms of the ratio by the same number.
• Example: 3:5 → multiply by 2 → 6:10

Method 2: Simplify

• Divide both terms by their greatest common factor (GCF).
• Example: 12:16 → divide by 4 → 3:4

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4️⃣ Tips to Remember 💡

Always keep the order the same: first : second

Check your ratio by cross-multiplying to see if it’s equivalent

• Example: 2:3 and 4:6 → 2×6 = 12, 3×4 = 12 ✅

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5️⃣ Fun Examples 🎨

• Ratio of cats 🐱 to dogs 🐶 = 5:3 → Multiply by 2 → 10:6
• Ratio of pencils ✏️ to erasers 🩹 = 8:4 → Simplify → 2:1

Learn with an example

Let’s Practice!