Solving Ratios and Proportions

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What is a ratio?

Back

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

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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 find the cross products of two ratios?

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Multiply the numerator of the first ratio by the denominator of the second ratio and vice versa.

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CCSS.6.RP.A.3A

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine if two ratios form a proportion?

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Two ratios form a proportion if their cross products are equal.

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CCSS.7.RP.A.2A

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What is the unit rate for 100 books and 5 boxes?

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20 books per box.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the unit rate for 360 dollars for 6 hours?

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$60 per hour.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1

Front

If the ratios 35:16 and 5:2 are compared, what do you check to see if they form a proportion?

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Check if the cross products are equal.

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CCSS.7.RP.A.2A

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What are equivalent ratios?

Back

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

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CCSS.6.RP.A.3A

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How can you simplify a ratio?

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Divide both terms of the ratio by their greatest common factor.

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CCSS.6.RP.A.2

CCSS.6.RP.A.1