Ratios, Rates, and Percentages

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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

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 by their greatest common factor (GCF).

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CCSS.6.RP.A.1

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What is the ratio of boys to girls if there are 21 boys and 6 girls?

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The ratio of boys to girls is 21:6, which simplifies to 7:2.

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CCSS.6.RP.A.1

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What is a rate?

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A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a percentage?

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A percentage is a way of expressing a number as a fraction of 100, often used to compare proportions.

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How do you convert a fraction to a percentage?

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To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

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What is the simplest form of the ratio 40:70?

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The simplest form of the ratio 40:70 is 4:7.

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CCSS.6.RP.A.1

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If there are 6 goats and 12 total animals, what is the ratio of goats to total animals?

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The ratio of goats to total animals is 6:12, which simplifies to 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the total number of items from a ratio?

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To find the total number of items from a ratio, add the parts of the ratio together and multiply by the common factor.

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What is the ratio of 6th graders to 7th graders if there are 32 6th graders and 8 7th graders?

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The ratio of 6th graders to 7th graders is 32:8, which simplifies to 4:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2