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. It can be expressed in three ways: as a fraction, with a colon, or in words.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you write the ratio of 3 to 5?

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The ratio of 3 to 5 can be written as 3:5, 3/5, or '3 to 5'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean to simplify a ratio?

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Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of 4 apples to 2 bananas?

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The ratio of 4 apples to 2 bananas is 4:2, which simplifies to 2:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If there are 5 pears and 6 apples, what is the ratio of pears to all fruit?

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The total number of fruits is 5 pears + 6 apples = 11 fruits. 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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What is a ratio table?

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A ratio table is a table that displays pairs of numbers that form equivalent ratios. It helps in finding missing values in proportional relationships.

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How do you find a missing value in a ratio table?

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To find a missing value in a ratio table, you can use equivalent ratios to set up a proportion and solve for the unknown.

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What is the value of A if the ratio is 2:4 and A is the first term?

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If the ratio is 2:4, then A = 2.

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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? 8 to 14, 16 to 17, 20 to 27, or 40 to 77?

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The ratio 8 to 14 simplifies to 4 to 7.

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CCSS.6.RP.A.3A

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What is the value of 8 in the ratio table if the ratio is 1:2?

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If the ratio is 1:2, then for every 1 unit of the first quantity, there are 2 units of the second quantity. If the first quantity is 4, then the second quantity is 8.