Ratios and Rates

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form '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 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

Front

How do you calculate the cost per session if you know the total cost and number of sessions?

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Divide the total cost by the number of sessions. For example, $70.50 for 6 sessions is $70.50 ÷ 6 = $11.75 per session.

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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 12:30?

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The simplest form of 12:30 is 2:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the total cost for a different number of items based on a known rate?

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Multiply the rate per item by the number of items. For example, if 4 tickets cost $124, the cost for 7 tickets is ($124/4) * 7 = $217.

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CCSS.6.RP.A.3B

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Which of the following is not a correct way to write a ratio?

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X and Y is not a correct way to write a ratio.

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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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An equivalent ratio is a ratio that expresses the same relationship between quantities, even if the numbers are different, such as 12:4 and 3:1.

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CCSS.6.RP.A.3A

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How do you express a ratio in words?

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A ratio can be expressed in words as 'X to Y'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean to express a ratio in simplest form?

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Expressing a ratio in simplest form means reducing it to the smallest whole numbers that maintain the same relationship.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2