Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a relationship between two quantities, indicating how many times the first quantity contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio?

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A ratio can be expressed in three ways: using a colon (e.g., 4:3), as a fraction (e.g., 4/3), or in words (e.g., '4 to 3').

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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Equivalent ratios are ratios that express the same relationship between quantities, even if the numbers are different (e.g., 2:3 is equivalent to 4:6).

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CCSS.6.RP.A.3A

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How do you find equivalent ratios?

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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 red apples to green apples if there are 4 red apples and 3 green apples?

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The ratio of red apples to green apples is 4:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If there are 6 red dots, 3 green dots, and 5 orange dots, what is the ratio of green dots to orange dots?

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The ratio of green dots to orange dots is 3:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Give a real-life example of a ratio.

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An example of a real-life ratio is 4 meatballs to 1 cup of sauce.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If Patrick has 2 black, 3 red, and 5 white toy cars, what is the ratio of red toy cars to all toy cars?

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The ratio of red toy cars to all toy cars is 3:10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a fruit bowl with 4 apples, 2 bananas, and 5 pears, what is the ratio of pears to all fruit?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the total number of items if the ratio of red to green apples is 4:3?

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The total number of items is 4 + 3 = 7.