Ratios and Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating 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

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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) until no further simplification is possible.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

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 can you determine if two ratios form a proportion?

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Two ratios form a proportion if the cross products are equal (i.e., a/b = c/d implies a*d = b*c).

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CCSS.7.RP.A.2A

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What is the simplest form of a ratio?

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The simplest form of a ratio is when the two quantities are expressed in their lowest terms, meaning they have no common factors other than 1.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, and vice versa; both represent a comparison of two quantities.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

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How do you solve for a missing value in a proportion?

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To solve for a missing value in a proportion, use cross-multiplication and then isolate the variable.

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CCSS.7.RP.A.2C

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What is the GCD and how is it used in simplifying ratios?

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The GCD (Greatest Common Divisor) is the largest number that divides two or more numbers without leaving a remainder, used to simplify ratios.

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If a ratio is 4:8, what is its simplest form?

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The simplest form of the ratio 4:8 is 1:2.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio of 10 to 15 in simplest form?

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2