Ratios and Equivalent ratios

Front

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.1

CCSS.6.RP.A.2

Front

What does it mean for two ratios to be equivalent?

Back

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?

Back

No

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CCSS.6.RP.A.3A

Front

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

Back

Yes

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CCSS.6.RP.A.3A

Front

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

Front

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

Back

No

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CCSS.6.RP.A.3A

Front

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

Back

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?

Back

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