Ratios, Unit Rates & Proportions

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What is a ratio?

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A ratio is a comparison of two quantities by division, expressed as 'a to b' or as a fraction a/b.

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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 divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

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A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the unit rate from a total?

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To find the unit rate, divide the total quantity by the number of units. For example, 48 cookies in 4 batches gives a unit rate of 12 cookies per batch.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportion?

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A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

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How do you solve a proportion?

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To solve a proportion, cross-multiply and then solve for the unknown variable.

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CCSS.7.RP.A.2C

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What is the formula for finding a unit rate?

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Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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x = 8.

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CCSS.7.RP.A.2C

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What is the simplified form of the ratio 10:5?

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The simplified form is 5:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2