Ratios, Rates and Unit 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 as 'a to b' or 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?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

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Front

What is a rate?

Back

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

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CCSS.6.RP.A.1

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour or $5 per item.

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CCSS.6.RP.A.1

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Front

If there are 4 red apples and 3 green apples, what is the ratio of red apples to green apples?

Back

4 red apples to 3 green apples.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a fruit bowl with 4 apples, 2 bananas, and 5 pears, what is the ratio of pears to all fruit?

Back

5:11.

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CCSS.6.RP.A.1

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You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

Back

$8 per pound.

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CCSS.6.RP.A.1

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Jack jumps 40 times in 4 minutes. How many times does he jump per 1 minute?

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10 times per minute.

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CCSS.6.RP.A.1

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Charles can type 675 words in 9 minutes. How many words can he type per minute?

Back

75 words per minute.

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CCSS.6.RP.A.1

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Front

What is the formula to find a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2