Ratios & Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Tags

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., 3:4), as a fraction (e.g., 3/4), or in words (e.g., 3 to 4).

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

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The ratio of sugar to flour is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you find a missing value in a ratio table?

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You can find a missing value in a ratio table by using equivalent ratios or cross-multiplication.

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In a ratio of 3:4, if there are 12 total parts, how many parts correspond to each quantity?

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In a ratio of 3:4, there are 3 parts of the first quantity and 4 parts of the second quantity, making a total of 7 parts. If there are 12 total parts, the first quantity is (3/7)*12 = 5.14 (approximately 5) and the second quantity is (4/7)*12 = 6.86 (approximately 7).

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What is the ratio of chocolate chips to flour in a recipe that uses 3 cups of flour and 2 cups of chocolate chips?

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The ratio of chocolate chips to flour is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of blue to red Jolly Ranchers is 3:4 and there are 15 blue Jolly Ranchers, how many red Jolly Ranchers are there?

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If the ratio is 3:4, then for every 3 blue Jolly Ranchers, there are 4 red ones. If there are 15 blue Jolly Ranchers, then there are (15/3)*4 = 20 red Jolly Ranchers.

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What is the purpose of using tape diagrams in solving ratio problems?

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Tape diagrams visually represent ratios and help in understanding the relationship between different quantities.

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How do you simplify a ratio?

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2