Ratios & Equivalent Ratios

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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

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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

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of 15 to 5?

Back

The ratio of 15 to 5 is 3:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the equivalent ratio of 12:20?

Back

The equivalent ratio of 12:20 is 6:10.

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CCSS.6.RP.A.3A

Front

If the ratio is 1:3, what is the missing number in 6:_?

Back

The missing number is 18.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, 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 gold coins to total coins if there are 12 gold coins and 4 silver coins?

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The ratio of gold coins to total coins is 12:16.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If you have a ratio of 2:1, what is the missing number in 8:_?

Back

The missing number is 4.

Front

What is the first step in comparing two ratios?

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The first step is to simplify both ratios to their lowest terms.

Tags

CCSS.6.RP.A.3A