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?

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

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

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CCSS.7.RP.A.2C

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What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers.

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CCSS.6.RP.A.3A

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How do you find equivalent ratios?

Back

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

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CCSS.6.RP.A.3A

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What is the extended ratio?

Back

An extended ratio compares three or more quantities.

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CCSS.6.RP.A.3A

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How do you find the measures of angles in an extended ratio?

Back

To find the measures of angles in an extended ratio, first find the total parts of the ratio, then divide 180 degrees by the total parts to find the value of one part.

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CCSS.HSG.CO.C.9

Front

What is the ratio of oatmeal to chocolate chip cookies if there are 5 oatmeal and 6 chocolate chip cookies?

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5:6

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a triangle has angles in the ratio of 2:4:9, what are the measures of the angles?

Back

24°, 48°, 108°.

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CCSS.8.G.A.5