🔢 What is a Ratio?

• A ratio compares two quantities using :**, **to`, or fractions
  👉 Example: 2 : 3, 2 to 3, or 2/3

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♻️ What are Equivalent Ratios?

• Equivalent ratios have the same value, even if the numbers look different
• You can get them by multiplying or dividing both terms by the same number ✖️➗

✨ Example:

• 2 : 4 = 4 : 8 = 6 : 12

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🧮 How to Solve Word Problems with Equivalent Ratios

1️⃣ Read carefully 👀
2️⃣ Identify the ratio in the problem
3️⃣ Multiply or divide both parts by the same number
4️⃣ Check if the ratios are equal ✅

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🧠 Key Tips to Remember

• 🔁 Always change both numbers in the ratio
• ❌ Never add or subtract to find equivalent ratios
• 🟰 Equivalent ratios represent the same comparison

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📦 Real-Life Examples

🍎 If 3 apples cost ₹30, then

• 6 apples cost ₹60
• 9 apples cost ₹90

👕 If 2 shirts need 4 meters of cloth,

• 4 shirts need 8 meters

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🎯 Cross-Multiplication Check

• For ratios a : b and c : d, check:
  👉 a × d = b × c ✔️

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🏫 Why Are Equivalent Ratios Important?

• 🛒 Useful in shopping and pricing
• 🍳 Helpful in recipes and cooking
• 📐 Used in scale drawings and maps

Learn with an example

let’s practice! 🖊️