Rates and Equivalent Ratios

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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.

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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 numbers, meaning they can be simplified to the same fraction.

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CCSS.6.RP.A.3A

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How do you simplify a ratio?

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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 formula to find a missing number in a ratio?

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If you have a ratio a:b and you know one of the values, you can find the missing value using the formula: missing value = (known value * b) / a.

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How do you express a ratio in simplest form?

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To express a ratio in simplest form, divide both parts of the ratio by their greatest common factor.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between rates and ratios?

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Rates are a specific type of ratio that compares two quantities with different units, such as speed (miles per hour).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If an ostrich runs 50 miles in 60 minutes, what is its speed in miles per minute?

Back

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you convert a rate to find time taken for a distance?

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To find the time taken for a distance, use the formula: time = distance / rate.

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CCSS.6.RP.A.3B

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What is the ratio of 10 bicycles to 46 total people in simplest form?

Back

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you determine if two ratios are equivalent?

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To determine if two ratios are equivalent, cross-multiply and compare the products.

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CCSS.6.RP.A.3A