Ratios, Rates & Proportions

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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, expressed as 'a:b'.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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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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CCSS.6.RP.A.1

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What is a rate?

Back

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

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CCSS.6.RP.A.1

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as 'a:b = c:d'.

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CCSS.7.RP.A.2A

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If the ratio of boys to girls is 6:5 and there are 18 boys, how many girls are there?

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15 girls.

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How do you find the unit price of an item?

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To find the unit price, divide the total price by the quantity of the item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the unit price of Coca-Cola if it costs $1.29 for 1.25 L?

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$1.03 per liter.

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CCSS.6.RP.A.3B

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What is the unit price of Pepsi if it costs $2.49 for 2 L?

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$1.25 per liter.

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CCSS.6.RP.A.1

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Which is the better deal: Coca-Cola or Pepsi?

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Coca-Cola is the better deal.

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Write the ratio of Ella's balloons to Taylor's balloons if Ella has 5 and Taylor has 7.

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5:7.

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CCSS.6.RP.A.1

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