Rates, Ratios, and Proportions

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What is a ratio?

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A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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What is a proportion?

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A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

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How can you determine if two ratios form a proportion?

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Cross-multiply the ratios. If the products are equal, the ratios form a proportion.

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CCSS.7.RP.A.2A

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What is the simplest form of the ratio 42 to 6?

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7:1

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What is the simplest form of the ratio 27:12?

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9:4

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Are the ratios 8 feet in 15 seconds and 16 feet in 40 seconds proportional?

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No, they are not proportional.

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CCSS.7.RP.A.2A

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Are the ratios 27 trucks to 12 jeeps and 44 trucks to 16 jeeps proportional?

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No, they are not proportional.

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CCSS.7.RP.A.2A

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What does it mean for ratios to be equivalent?

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Ratios are equivalent if they represent the same relationship between quantities.

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If $72 is for every 8 people, how much is it for 1 person?

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$9 for every 1 person.

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