Ratios and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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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 numbers, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

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CCSS.6.RP.A.3A

Front

What is the ratio of 10 to 20?

Back

1 to 2 (10:20 simplifies to 1:2).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 28 girls?

Back

There are 21 boys (3/4 = x/28, so x = 21).

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CCSS.7.RP.A.3

Front

What is the simplest form of the ratio 8:12?

Back

2:3 (dividing both terms by 4).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Are the ratios 6:9 and 4:6 equivalent?

Back

No, they are not equivalent (6:9 simplifies to 2:3, while 4:6 simplifies to 2:3).

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CCSS.6.RP.A.3A

Front

What is the ratio of red apples to green apples if there are 8 red apples and 4 green apples?

Back

2 to 1 (8:4 simplifies to 2:1).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 15 cups of flour?

Back

10 cups of sugar (2/3 = x/15, so x = 10).

Front

What is the ratio of 5 to 15?

Back

1 to 3 (5:15 simplifies to 1:3).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2