Ratios, Rates & Unit Rates

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or 'a:b'.

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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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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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CCSS.6.RP.A.1

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What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour or $2 per candy bar.

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CCSS.6.RP.A.1

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Front

If there are 10 apples and 5 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 2:1.

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What is the price per item if 12 items cost $24?

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The price per item is $2.

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CCSS.6.RP.A.1

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If a car travels 150 miles using 5 gallons of gas, what is the mileage in miles per gallon?

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The mileage is 30 miles per gallon.

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CCSS.6.RP.A.1

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What is the ratio of 3 red marbles to 5 blue marbles?

Back

The ratio is 3:5.

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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.

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CCSS.6.RP.A.1

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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 2:3.

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