Ratios & Ratio Tables

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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.

Tags

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 factor (GCF).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a ratio table?

Back

A ratio table is a table that displays equivalent ratios, showing how two quantities change in relation to each other.

Front

If the ratio of A to B is 2:3, what is the value of B if A = 8?

Back

B = 12, because 8 is 2/5 of the total ratio (2+3), and B is 3/5 of the total.

Front

What is a proportion?

Back

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

Tags

CCSS.7.RP.A.2A

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How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the missing value.

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CCSS.7.RP.A.2C

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

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CCSS.6.RP.A.3A

Front

Back

c = 10, because cross-multiplying gives 2 * 25 = 5 * c.

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CCSS.3.NF.A.3A

CCSS.3.NF.A.3B

CCSS.4.NF.A.1

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What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Tags

CCSS.6.RP.A.3A

Front

How can you find a missing value in a ratio table?

Back

You can find a missing value by using equivalent ratios or proportions.