Ratio Language and Equivalent Ratios

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What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:5), as a fraction (e.g., 3/5), or in words (e.g., 3 to 5).

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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?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they simplify to the same fraction.

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CCSS.6.RP.A.3A

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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 is the ratio of cats to total animals if Molly has 2 dogs and 3 cats?

Back

The ratio of cats to total animals is 3:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of tenants to cars is 3:5 and there are 30 tenants, how many cars are there?

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If there are 30 tenants, there are 50 cars.

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What is the simplest form of the ratio 16:40?

Back

The simplest form of the ratio 16:40 is 2:5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you find a missing number in a ratio?

Back

To find a missing number in a ratio, set up a proportion and solve for the unknown value.

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What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios.

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How can you check if two ratios are equivalent?

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To check if two ratios are equivalent, cross-multiply and see if the products are equal.

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CCSS.6.RP.A.3A