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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CCSS.6.RP.A.1

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What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between numbers, even if the numbers themselves are different.

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CCSS.6.RP.A.3A

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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 factor (GCF).

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What is the ratio of 5 apples to 10 oranges?

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The ratio is 1:2, which can be simplified from 5:10.

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CCSS.6.RP.A.1

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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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CCSS.6.RP.A.1

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How can you find an equivalent ratio for 4:6?

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You can multiply or divide both terms by the same non-zero number. For example, multiplying by 2 gives 8:12.

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CCSS.6.RP.A.3A

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What is the ratio of school apps to game apps if Kelly has 5 school apps and 3 game apps?

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The ratio is 5:3.

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CCSS.6.RP.A.1

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If there are 12 stars and 8 squares, what is the ratio of stars to squares?

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The ratio is 3:2.

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CCSS.6.RP.A.1

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What is one equivalent ratio for 10:15?

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One equivalent ratio is 2:3.

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CCSS.6.RP.A.3A

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If a class has 20 boys and 15 girls, what is the ratio of boys to girls?

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The ratio is 4:3.

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CCSS.6.RP.A.1

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