Ratio tables

Key Notes :

Definition of a Ratio Table

• A ratio table is a structured way of organizing equivalent ratios.
• It helps in finding missing values and understanding proportional relationships.

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Understanding Ratios

• A ratio compares two quantities (e.g., 2:3 means 2 parts of one quantity for every 3 parts of another).
• Can be written in different forms: a:b, a to b, or a/b.

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Creating a Ratio Table

• Start with a known ratio.
• Multiply or divide both terms by the same number to create equivalent ratios.
• Fill in missing values using multiplication or division.

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Using Ratio Tables for Problem-Solving

• Scaling up and down: Helps in increasing or decreasing the values proportionally.
• Finding unit rate: Divide both terms by the first quantity to get a per-unit value.
• Comparing ratios: Check if two ratios are proportional by simplifying or cross-multiplying.

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Example of a Ratio Table

Suppose the ratio of apples to oranges is 2:3. A ratio table would look like this:

Apples	Oranges
2	3
4	6
6	9
8	12

Each row maintains the same proportional relationship.

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Real-Life Applications

• Cooking recipes (e.g., mixing ingredients in proportion).
• Speed and distance calculations.
• Converting currency or measurements.

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Checking for Errors in Ratio Tables

• Ensure that all values are multiples of the original ratio.
• Cross-multiply corresponding values to verify correctness.

Learn with an example

let’s practice! 🖊️

L