Ratios and Equivalent Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you write a ratio?

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Ratios can be written in three ways: as a fraction (e.g., 1/2), with a colon (e.g., 1:2), or with the word 'to' (e.g., 1 to 2).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What are equivalent ratios?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different (e.g., 1:2 is equivalent to 2:4).

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CCSS.6.RP.A.3A

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How do you find equivalent ratios?

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To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number.

Tags

CCSS.6.RP.A.3A

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If the ratio of boys to girls is 3:4, how many boys are there if there are 12 girls?

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There are 9 boys. (Using the equivalent ratio: 3/4 = x/12, solving gives x = 9.)

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What is the simplest form of the ratio 16:32?

Back

The simplest form of the ratio 16:32 is 1:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

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The ratio of sugar to flour is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you simplify the ratio 8:12?

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To simplify the ratio 8:12, divide both terms by their greatest common divisor, which is 4. The simplified ratio is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of 5 apples to 10 oranges?

Back

The ratio of 5 apples to 10 oranges is 1:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

Back

The ratio of girls to boys is 3:4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2