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, 1:2 and 2:4 are equivalent ratios.

Tags

CCSS.6.RP.A.3A

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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 3:4, multiply both terms by 2 to get 6:8.

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.

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If a recipe calls for 3 cups of sugar and 2 cups of butter, what is the ratio of sugar to butter?

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The ratio of sugar to butter is 3:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Using a ratio table, if you have 3 cups of sugar, how much butter do you need to maintain the ratio of 3:2?

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You need 2 cups of butter.

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If it takes 5 hours to paint 2 rooms, what is the ratio of hours to rooms?

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The ratio of hours to rooms is 5:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How many hours will it take to paint 10 rooms if it takes 5 hours to paint 2 rooms?

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It will take 25 hours to paint 10 rooms.

Tags

CCSS.6.RP.A.3B

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What is the equivalent ratio of 2:3?

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The equivalent ratio of 2:3 can be found by multiplying both terms by the same number, such as 2, resulting in 4:6.

Tags

CCSS.6.RP.A.3A

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If it takes 6 hours to drive 300 miles, what is the ratio of hours to miles?

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The ratio of hours to miles is 6:300.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How many hours will it take to drive 450 miles if it takes 6 hours to drive 300 miles?

Back

It will take 9 hours to drive 450 miles.

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CCSS.6.RP.A.3B