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, 1:2 and 2:4 are equivalent ratios.

Tags

CCSS.6.RP.A.3A

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 2:3, multiply both terms by 2 to get 4:6.

Tags

CCSS.6.RP.A.3A

Front

Which ratio is equivalent to 10:100?

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1:10

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CCSS.6.RP.A.3A

Front

Which ratio is equivalent to 8:6?

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4:3

Tags

CCSS.6.RP.A.3A

Front

Which ratio is equivalent to 9:12?

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3:4

Tags

CCSS.6.RP.A.3A

Front

Which ratio is equivalent to 3:4?

Back

6:8

Tags

CCSS.6.RP.A.3A

Front

Which ratio is equivalent to 10:2?

Back

5:1

Tags

CCSS.6.RP.A.3A

Front

What is the simplest form of a ratio?

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The simplest form of a ratio is when the two numbers are reduced to their smallest whole number values. For example, the simplest form of 8:12 is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to divide both terms of the ratio by their greatest common divisor (GCD) to get the smallest equivalent ratio.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a ratio is 4:5, what is an equivalent ratio if both terms are multiplied by 3?

Back

12:15

Tags

CCSS.6.RP.A.3A