Simplifying Ratios

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What is a ratio?

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A ratio is a comparison of two quantities by division, 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 boy:girl ratio in a class with 15 boys and 20 girls?

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3:4

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of wins to losses for a team with 25 wins and 45 losses?

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5:9

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Simplify the ratio 12 to 16.

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3:4

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Write the ratio of 15 girls to 6 boys in simplest form.

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5:2

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of cats to dogs if there are 28 cats and 70 dogs?

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2:5

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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 have no common factors other than 1.

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CCSS.6.RP.A.3A

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

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2:3

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you express the ratio of 10 to 25 as a fraction?

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CCSS.6.RP.A.1

CCSS.6.RP.A.2