Ratios/Rates/Unit Rate

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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. It can be expressed in various forms such as fractions, decimals, or with a colon (e.g., 2:3).

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How do you express a ratio of 2 to 3?

Back

The ratio of 2 to 3 can be expressed as 2/3 or 2:3.

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What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if you travel 15 miles in 3 hours, the unit rate is 5 miles per hour.

Front

If 4 concert tickets cost $124, what is the cost of one ticket?

Back

The cost of one ticket is $31 (calculated as $124 ÷ 4).

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How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the number of items. For example, if 8 bottles of water cost $4.00, the unit price is $0.50 per bottle.

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What is the ratio of blue marbles to red marbles if there are 3 blue and 7 red?

Back

The ratio of blue marbles to red marbles is 3:7.

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How do you convert a rate to a unit rate?

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To convert a rate to a unit rate, divide the first quantity by the second quantity to find out how much of the first quantity corresponds to one unit of the second quantity.

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If you travel 15 miles in 2 hours, what is the unit rate in miles per hour?

Back

The unit rate is 7.5 miles per hour (calculated as 15 miles ÷ 2 hours).

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What is the formula to calculate a unit rate?

Back

The formula to calculate a unit rate is: Unit Rate = Total Quantity / Number of Units.