Simplifying 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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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 simplest form of the ratio 10:60?

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1:6

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the simplest form of the ratio 21:45?

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7:15

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the simplest form of the ratio 46:92?

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1:2

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CCSS.6.RP.A.1

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What is the simplest form of the ratio 12:40?

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3:10

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CCSS.6.RP.A.1

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What is the simplest form of the ratio 15:45?

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1:3

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean for a ratio to be in simplest form?

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A ratio is in simplest form when the two numbers cannot be divided by any common factor other than 1.

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CCSS.6.RP.A.3A

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If a ratio is 4:8, what is its simplest form?

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1:2

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the GCD of 30 and 45?

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15