Equivalent Ratios and Proportional Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio?

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A ratio can be expressed in three ways: as a fraction (e.g., 2/3), with a colon (e.g., 2:3), or in words (e.g., '2 to 3').

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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 simplify to the same fraction.

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CCSS.6.RP.A.3A

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How can you determine if two ratios are equivalent?

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You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

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CCSS.6.RP.A.3A

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What is a proportional relationship?

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A proportional relationship is one where two quantities maintain a constant ratio or rate.

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CCSS.7.RP.A.2A

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What is the formula for finding a missing value in a proportion?

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The formula is a/b = c/d, where you can find the missing value by cross-multiplying: a*d = b*c.

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CCSS.7.RP.A.2C

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If Eileen has 8 female friends and 2 male friends, what is the ratio of female to male friends?

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The ratio of female to male friends is 8:2, which simplifies to 4:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the value of x in the proportion 3/5 = x/30?

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The value of x is 18.

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CCSS.7.RP.A.2C

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What is the ratio of hens to roosters if there are 30 chickens and 5 are roosters?

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The ratio of hens to roosters is 25:5, which simplifies to 5:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the ratio of two different categories in a collection?

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To find the ratio, divide the number of items in one category by the number of items in the other category.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2