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.

Tags

CCSS.6.RP.A.3A

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How do you find an equivalent ratio?

Back

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.

Tags

CCSS.6.RP.A.3A

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What is a ratio table?

Back

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.

Front

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

Back

8 cups of flour.

Front

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

Back

3 hours.

Tags

CCSS.6.RP.A.3B

Front

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

Back

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

Front

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

Back

8 cups of butter.

Tags

CCSS.6.RP.A.3B

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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.

Front

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

Back

10 hours.

Tags

CCSS.6.RP.A.3B

Front

What is the relationship between ratios and fractions?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2