Equivalent Ratios and Ratio Tables

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What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 2:3 and 4:6 are equivalent ratios.

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How do you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio of 2:3, multiply both terms by 2 to get 4:6.

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What is a ratio table?

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A ratio table is a tool used to organize equivalent ratios in a table format, making it easier to see the relationships between different quantities.

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If a recipe calls for 1 cup of milk and 2 cups of flour, how much flour is needed for 4 cups of milk?

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8 cups of flour.

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If it takes 6 hours to drive 300 miles, how long will it take to drive 150 miles?

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3 hours.

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What is the purpose of using ratio tables in problem-solving?

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Ratio tables help visualize the relationships between quantities and make it easier to find equivalent ratios and solve problems.

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If a recipe requires 3 cups of sugar and 2 cups of butter, how much butter is needed for 12 cups of sugar?

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8 cups of butter.

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How can you use equivalent ratios in real-life situations?

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Equivalent ratios can help solve problems involving proportions, such as cooking, scaling recipes, or determining travel times.

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If it takes 5 hours to paint 2 rooms, how long will it take to paint 4 rooms?

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10 hours.

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.