Ratio Language 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 how many times one value contains or is contained within the other.

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How can ratios be expressed?

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Ratios can be expressed in three ways: using the word 'to', using a colon (:), and as a fraction.

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

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If the ratio of cats to dogs is 3:2, what is the equivalent ratio if there are 6 dogs?

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The equivalent ratio is 9:6, since for every 2 dogs, there are 3 cats.

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CCSS.6.RP.A.3A

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What is the ratio of 3 to 4 in fraction form?

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If there are 10 players and 3 coaches, what is the ratio of coaches to players?

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The ratio of coaches to players is 3:10.

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How do you find an equivalent ratio?

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To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

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What is the ratio of red toy cars to all toy cars if there are 3 red, 2 black, and 5 white toy cars?

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The ratio of red toy cars to all toy cars is 3:10.

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CCSS.6.RP.A.1

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If Molly has 2 dogs for every 3 cats, how many cats will she have if she has 6 dogs?

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Molly will have 9 cats.

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What is the ratio of 12 to 16 in simplest form?

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The simplest form of the ratio 12:16 is 3:4.

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