Ratios & Equivalent Ratios

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What is a ratio?

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A ratio is a relationship between two quantities, 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 of the ratio 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 an equivalent ratio?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

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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, 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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What is the ratio of boys to girls if there are 16 boys and 32 girls?

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The ratio of boys to girls is 1:2 when simplified.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a class has 16 boys and 32 girls, what is the ratio of girls to boys?

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The ratio of girls to boys is 2:1 when simplified.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio as a fraction?

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A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the total number of employees if 4 took the bus, 10 walked, 10 biked, 12 carpooled, and 10 drove alone?

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The total number of employees is 46.

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CCSS.2.OA.A.1

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What is the ratio of people who commuted by bicycle to all employees?

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The ratio of people who commuted by bicycle to all employees is 5:23 when simplified.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you predict the number of items based on a ratio?

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To predict the number of items based on a ratio, set up a proportion using the known ratio and solve for the unknown quantity.