Write a ratio

Key Notes :

Definition of a Ratio

• A ratio is a comparison of two quantities.
• It tells how much of one thing there is compared to another.

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Ways to Write a Ratio

• Using a colon (:) → Example: 3:4
• As a fraction (/) → Example: 3/4
• Using the word “to” → Example: 3 to 4

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Types of Ratios

• Part-to-Part: Compares two parts of a group (e.g., boys to girls in a class).
• Part-to-Whole: Compares a part of a group to the total (e.g., boys to total students).
• Whole-to-Whole: Compares two separate groups (e.g., students to teachers).

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Simplifying Ratios

• Divide both terms by their greatest common factor (GCF).
• Example: 6:8 → Divide by 2 → Simplified ratio: 3:4

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Equivalent Ratios

• Multiply or divide both terms by the same number to find equivalent ratios.
• Example: 2:3 → Multiply by 2 → 4:6 (Equivalent)

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Using Ratios in Real Life

• Cooking recipes (e.g., 2 cups of flour to 1 cup of sugar).
• Comparing distances, prices, or speeds.

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Writing Ratios from Word Problems

• Identify the two quantities to compare.
• Write the ratio in the required format (colon, fraction, or “to”).
• Simplify if needed.

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Common Mistakes

• Reversing the order of comparison (e.g., apples to oranges vs. oranges to apples).
• Not simplifying the ratio when possible.

Learn with an example

Let’s practice!🖊️