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, 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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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, even if the numbers are different.

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CCSS.6.RP.A.3A

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How can you find an equivalent ratio?

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To find an equivalent ratio, 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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If the ratio of A to B is 3:4, what is the ratio of B to A?

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The ratio of B to A is 4:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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

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There are 20 red Jolly Ranchers.

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What is the simplified form of the ratio 10:15?

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The simplified form of the ratio 10:15 is 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express the ratio of moons to suns if there are 4 moons and 8 suns?

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The ratio of moons to suns is 4:8, which simplifies to 1:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the value of x in the ratio 5:x = 10:20?

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The value of x is 10.

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If the ratio of cats to dogs is 2:5, how many dogs are there if there are 10 cats?

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There are 25 dogs.