Ratios and Equivalent ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, using a colon, or in words. For example, the ratio of 2 to 3 can be written as 2:3 or 2/3.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

Front

Are the ratios 2:1 and 13:7 equivalent?

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No

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CCSS.6.RP.A.3A

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Are the ratios 4/1 and 20/5 equivalent?

Back

Yes

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CCSS.6.RP.A.3A

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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?

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5:11

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Are the ratios 1:2 and 4:7 equivalent?

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No

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CCSS.6.RP.A.3A

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Are the ratios 10:20 and 1:2 equivalent?

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Yes

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CCSS.6.RP.A.3A

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How do you simplify the ratio 8:12?

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To simplify 8:12, divide both numbers by their greatest common divisor, which is 4. The simplified ratio is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of 3 red marbles to 5 blue marbles?

Back

3:5

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

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6 cups of sugar (the ratio remains 2:3).