Identify equivalent ratios

Key Notes :

1. What is a Ratio?

• A ratio is a comparison of two quantities.
• It is written in three ways:
  • Using a colon (e.g., 2:3)
  • As a fraction (e.g., 2/3)
  • In words (e.g., “2 to 3”)

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2. What are Equivalent Ratios?

• Equivalent ratios are ratios that represent the same relationship between two numbers.
• They are similar to equivalent fractions.

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3. How to Find Equivalent Ratios

• By Multiplication: Multiply both terms of the ratio by the same number.
  • Example: 2:3 → Multiply by 2 → 4:6
• By Division: Divide both terms of the ratio by the same number.
  • Example: 6:9 → Divide by 3 → 2:3

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4. Checking for Equivalent Ratios

• Divide both numbers in the ratio and compare their values.
• Example :

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5. Ratio Tables

• A ratio table helps list multiple equivalent ratios by multiplying or dividing.
  • Example for 2:5

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6. Real-Life Examples of Equivalent Ratios

• Cooking Recipes: If a recipe needs 2 cups of flour and 3 cups of sugar, doubling it gives 4 cups of flour and 6 cups of sugar (2:3 = 4:6).
• Maps and Scale Models: A map may use a 1:100 ratio, meaning 1 cm on the map represents 100 cm in real life.

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7. Solving Problems with Equivalent Ratios

• Use cross multiplication to check equivalency:
  • Is 3:4 equivalent to 6:8?
  • 3×8=4×6
  • 24=24 ✅ Equivalent

Learn with an example

Let’s practice!🖊️