Ratios and proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or as a fraction a/b.

Tags

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, expressed as a/b = c/d.

Front

How do you solve a proportion?

Back

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 is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

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CCSS.6.RP.A.3A

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Back

The cross products are equal, meaning 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?

Back

The simplest form of a ratio is when the two quantities are expressed in their lowest terms, with no common factors.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Tags

CCSS.6.RP.A.3A

Front

What is the relationship between ratios and fractions?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Back

x = 40.

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CCSS.7.RP.A.2B

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Back

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CCSS.6.RP.A.3A