Understand Ratios

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What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number 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: as a fraction (e.g., 4/3), with a colon (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 the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

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

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

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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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How do you simplify a ratio?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of boys to girls if there are 5 boys and 7 girls?

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The ratio of boys to girls is 5:7.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If there are 6 buckets of vegetables for every 2 buckets of cereal, what is the ratio of vegetables to cereal?

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The ratio of vegetables to cereal is 6:2, which simplifies to 3:1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the ratio of green spaces to blue spaces on a spinner with 4 green and 6 blue spaces?

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The ratio of green to blue spaces is 4:6, which simplifies to 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find the total number of items based on a ratio?

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To find the total number of items, add the parts of the ratio together and multiply by the number of sets.

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If the ratio of red circles to blue stars is 7:4, how many blue stars are there if there are 21 red circles?

Back

If the ratio is 7:4, then for every 7 red circles, there are 4 blue stars. Therefore, if there are 21 red circles, there are (21/7) * 4 = 12 blue stars.