Ratios - CHECK IN!

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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).

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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 to 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 for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

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Determine if the ratios 4:6 and 2:3 are equivalent.

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Yes, they are equivalent because both simplify to 2:3.

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CCSS.6.RP.A.3A

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If there are 5 apples for every 2 oranges, how many apples are there if there are 10 oranges?

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There are 25 apples.

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CCSS.6.RP.A.3B

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What is the ratio of black squares to gray squares if there are 3 black squares and 6 gray squares?

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The ratio is 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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In a class of 30 students, if the ratio of boys to girls is 2:3, how many boys are there?

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There are 12 boys.

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If a car travels 60 miles in 1 hour, what is the ratio of distance to time?

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The ratio of distance to time is 60 miles to 1 hour, or 60:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find a missing value in a ratio?

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You can set up a proportion and cross-multiply to find the missing value.