Rates, Ratios, and Proportions

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What is a ratio?

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A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

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CCSS.6.RP.A.2

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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) until no further simplification is possible.

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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 does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

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Are the ratios 5 dogs to 6 cats and 20 dogs to 24 cats equivalent?

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Yes, both ratios simplify to 5:6.

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How do you determine if two ratios are equivalent?

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To determine if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

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CCSS.6.RP.A.3A

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

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9:4

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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 express the ratio 120:5 in simplest form?

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24:1

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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 quantity is the numerator and the second quantity is the denominator.

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