Rates, Ratios and Unit Rates

Front

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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How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or in words (e.g., 3 to 2).

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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 of one.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 14 inches of snow fell in 5 hours, the unit rate is 14 inches ÷ 5 hours = 2.8 inches per hour.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

Front

What is the simplest form of the ratio 35:14?

Back

The simplest form of the ratio 35:14 is 5:2.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the ratio of flames to arms on a candle if there are 3 flames and 2 arms?

Back

The ratio of flames to arms is 3:2.

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How do you express a ratio as a fraction?

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To express a ratio as a fraction, place the first quantity over the second quantity. For example, the ratio 18 ounces to 3 cups can be expressed as 18/3.

Front

What is the unit rate if 60 miles are traveled in 3 hours?

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The unit rate is 60 miles ÷ 3 hours = 20 miles per hour.