ratio and extended ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b', where 'a' and 'b' are the quantities being compared.

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 8:12 simplifies to 2:3.

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What is an extended ratio?

Back

An extended ratio compares three or more quantities. For example, the ratio of boys to girls to teachers can be expressed as 2:3:1.

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CCSS.6.RP.A.1

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If Molly has 2 dogs and 3 cats, what is the ratio of dogs to cats?

Back

2:3

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If Charles has 7 baseball cards and Tracy has 10, what is the ratio of Charles's cards to Tracy's cards?

Back

7:10

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CCSS.6.RP.A.1

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What is the ratio of squares to triangles if there are 3 squares and 9 triangles?

Back

3:9, which simplifies to 1:3.

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CCSS.6.RP.A.1

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If Molly has 2 dogs and 3 cats, what is the ratio of cats to total animals?

Back

3:5 (3 cats out of a total of 5 animals).

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CCSS.6.RP.A.1

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Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all toy cars?

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3:10 (3 red out of a total of 10 toy cars).

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CCSS.6.RP.A.1

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What does it mean if a ratio is expressed as 1:4?

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It means for every 1 unit of the first quantity, there are 4 units of the second quantity.

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CCSS.6.RP.A.1

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How can ratios be used in real-life situations?

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Ratios can be used in cooking (ingredient proportions), finance (income to expenses), and in comparing quantities in various fields.