Equivalent Ratios

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What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Tags

CCSS.6.RP.A.3A

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Tags

CCSS.6.RP.A.3A

Front

Back

No, they are not equivalent.

Tags

CCSS.6.RP.A.3A

Front

Which ratio is equivalent to 5 to 4?

Back

25 to 20 is equivalent to 5 to 4.

Tags

CCSS.6.RP.A.3A

Front

Are the ratios 2:3 and 8:12 equivalent?

Back

Yes, they are equivalent.

Tags

CCSS.6.RP.A.3A

Front

Are the ratios 3:4 and 6:12 equivalent?

Back

No, they are not equivalent.

Tags

CCSS.6.RP.A.3A

Front

If 18 vocab words are learned in 2 hours, how many vocab words are learned in 3 hours if the ratios are equivalent?

Back

27 vocab words are learned in 3 hours.

Front

What is the relationship between equivalent ratios and scaling?

Back

Equivalent ratios can be obtained by scaling both terms of a ratio by the same factor.

Tags

CCSS.6.RP.A.3A

Front

What is the simplest form of the ratio 10:15?

Back

The simplest form of the ratio 10:15 is 2:3.

Tags

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 many cups of sugar are needed for 4 cups of flour?

Back

6 cups of sugar are needed for 4 cups of flour.