Ratios and Equivalent Ratios

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What is a ratio?

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

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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 can be simplified to the same fraction.

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CCSS.6.RP.A.3A

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Are the ratios 1:2 and 2:4 equivalent?

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Yes, they are equivalent because both simplify to 1:2.

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CCSS.6.RP.A.3A

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How do 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 the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

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The ratio of pears to all fruit is 5:11.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If 15 socks cost $15, what is the cost per sock?

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The cost per sock is $1.

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CCSS.6.RP.A.1

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What is the ratio of stars to squares if there are 3 stars and 4 squares?

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The ratio of stars to squares is 3:4.

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CCSS.6.RP.A.1

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How can you express the ratio 2:4 in simplest form?

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The simplest form of the ratio 2:4 is 1:2.

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CCSS.6.RP.A.1

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

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The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the total number of items if the ratio of apples to oranges is 3:2 and there are 9 apples?

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If there are 9 apples, then there are 6 oranges, making a total of 15 items.