Ratios, Rates, and Unit Conversion

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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

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., km/h).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total cost by the number of units.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for converting feet to inches?

Back

Multiply the number of feet by 12 to get the equivalent number of inches.

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CCSS.4.MD.A.1

Front

What is the simplest form of a fraction?

Back

The simplest form of a fraction is when the numerator and denominator are reduced to their smallest whole numbers.

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How do you express a ratio as a fraction?

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A ratio can be expressed as a fraction by placing the first quantity as the numerator and the second quantity as the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

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CCSS.6.RP.A.3A

Front

How do you convert a mixed number to an improper fraction?

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Multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the process for converting kilometers to miles?

Back

To convert kilometers to miles, multiply the number of kilometers by 0.621371.

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CCSS.6.RP.A.3D