Ratios and 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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How do you write a ratio?

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Ratios can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

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CCSS.6.RP.A.3A

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If the ratio of red apples to green apples is 4 to 3, how many red apples are there if there are 12 green apples?

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There are 16 red apples. (4:3 means for every 4 red apples, there are 3 green apples. If there are 12 green apples, then 12/3 * 4 = 16 red apples.)

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What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5:11.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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.

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CCSS.6.RP.A.3A

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What is the ratio of 15 to 25 in simplest form?

Back

The simplest form of the ratio 15:25 is 3:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What does it mean if two ratios are not equivalent?

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If two ratios are not equivalent, it means they do not represent the same relationship between the quantities.

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CCSS.6.RP.A.3A

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How can you represent the ratio of 10 to 5?

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The ratio of 10 to 5 can be represented as 10:5, 10/5, or 10 to 5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2