Ratios and proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

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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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

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How do you solve a proportion?

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To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

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CCSS.7.RP.A.2C

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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

Front

What is the ratio of 4 to 8?

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The ratio of 4 to 8 is 1:2 when simplified.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

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To find the amount of sugar needed, use the ratio: (2/3) * 6 = 4 cups of sugar.

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CCSS.6.RP.A.3B

Front

What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How can you express the ratio 5:10 in simplest form?

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The simplest form of the ratio 5:10 is 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an example of a non-equivalent ratio to 1/2?

Back

An example of a non-equivalent ratio to 1/2 is 6/10.

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CCSS.6.RP.A.3A