Rates, 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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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

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What does it mean for two ratios to be equivalent?

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Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be expressed as a fraction that simplifies to the same value.

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CCSS.6.RP.A.3A

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal. For example, if a:b = c:d, then a*d = b*c.

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CCSS.7.RP.A.2A

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Write the ratio of 42 to 6 in simplest form.

Back

7:1

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Write the ratio of 27 to 12 in simplest form.

Back

9:4

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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 can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

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CCSS.6.RP.A.3A

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Write the ratio of 120 to 5 in simplest form.

Back

24:1

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Determine if the ratios 5 dogs to 6 cats and 20 dogs to 24 cats are equivalent.

Back

Yes, they are equivalent.

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CCSS.6.RP.A.3A