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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Give an example of a ratio in real life.

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4 meatballs : 1 cup of sauce.

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How do you write the ratio of red toy cars to all toy cars if there are 3 red cars and 7 total cars?

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The ratio is 3:7.

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What is an equivalent ratio?

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Equivalent ratios are two or more ratios that express the same relationship between numbers.

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CCSS.6.RP.A.3A

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Are the ratios 15:5 and 3:1 equivalent?

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Yes, they are equivalent because both simplify to the same ratio.

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CCSS.6.RP.A.3A

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If a recipe calls for 2 cups of flour and 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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How do you find equivalent ratios?

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You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same number.

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CCSS.6.RP.A.3A

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What is the ratio of 10 to 45 in simplest form?

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The simplest form of the ratio 10:45 is 2:9.

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If you have 5 apples and 10 oranges, what is the ratio of apples to oranges?

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The ratio of apples to oranges is 1:2.

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CCSS.6.RP.A.1

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What does it mean if two ratios are not equivalent?

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It means they do not represent the same relationship between the quantities.

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