Ratios and Equivalent Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows 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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A ratio can be written in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or in words (e.g., '2 to 3').

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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 quantities, even if the numbers 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 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 32:16?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of boys to girls is 6:5 and there are 18 boys, how many girls are there?

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There are 15 girls.

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What is the ratio of girls to boys in a class with 21 boys and 6 girls?

Back

The ratio of girls to boys is 2:7.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find equivalent ratios?

Back

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

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CCSS.6.RP.A.3A

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If there are 23 animals consisting of 9 goats, 6 sheep, and the rest dogs, what is the ratio of dogs to goats?

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The ratio of dogs to goats is 8:9.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2