Ratio Tables and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as a fraction or with a colon (e.g., 3:2).

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What is an equivalent ratio?

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Equivalent ratios are two or more ratios that express the same relationship between numbers, meaning they simplify to the same fraction.

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How can you determine if two ratios are equivalent?

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To determine if two ratios are equivalent, you can cross-multiply and compare the products or simplify both ratios to see if they are the same.

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What is a ratio table?

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A ratio table is a tool used to organize and compare ratios, showing how two quantities change in relation to each other.

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How do you use a ratio table to solve problems?

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To use a ratio table, list the known ratios, then find equivalent ratios by multiplying or dividing both quantities by the same number.

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What is the relationship between the quantities in a ratio?

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The relationship in a ratio indicates how much of one quantity corresponds to another, helping to understand proportions.

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What is the formula for finding an unknown quantity in a ratio?

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The formula is: (known quantity 1 / known quantity 2) = (unknown quantity 1 / known quantity 2). You can cross-multiply to solve for the unknown.

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How do you scale a recipe using ratios?

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To scale a recipe, use the ratio of the desired number of servings to the original number of servings, then multiply each ingredient by this ratio.

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What is the significance of simplifying ratios?

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Simplifying ratios makes it easier to compare them and understand the relationship between the quantities involved.

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What is a rate?

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A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.