Ratios & Ratio Tables

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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CCSS.6.RP.A.1

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).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of pears to bananas and apples in a fruit bowl with 4 apples, 2 bananas, and 5 pears?

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5:6

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the simplified ratio of girls to boys if there are 10 girls and 15 boys?

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2 to 3

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the total number of items in a ratio?

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Add the parts of the ratio together to find the total number of items.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of pears to all fruit in a bowl with 4 apples, 2 bananas, and 5 pears?

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5:11

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Which ratio simplifies to 4 to 7?

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8 to 14.

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CCSS.6.RP.A.3A

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What does it mean if a ratio is expressed as '3 to 5'?

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It means for every 3 parts of one quantity, there are 5 parts of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

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4 cups of sugar (because 2/3 of 6 is 4).

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What is a ratio table?

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A ratio table is a table that shows equivalent ratios, helping to visualize the relationship between two quantities.