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 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?

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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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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or words per minute.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

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If a car travels 150 miles in 3 hours, what is the rate of travel?

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The rate of travel is 50 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

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The ratio is 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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How do you convert feet to inches?

Back

To convert feet to inches, multiply the number of feet by 12, since there are 12 inches in a foot.

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CCSS.4.MD.A.1

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What is the simplified ratio of 2 feet to 30 inches?

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The simplified ratio is 4:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a bag of marbles with 3 blue, 2 red, and 5 yellow marbles, what is the ratio of red to yellow marbles?

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The ratio of red to yellow marbles is 2:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If there are 7 red circles and 4 blue stars, what is the ratio of red circles to blue stars?

Back

The ratio of red circles to blue stars is 7:4.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1