Ratios and Rates

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What is a ratio?

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A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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How do you simplify a ratio?

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To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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What is the ratio of 35 to 14 in simplest form?

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5 : 2

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How can a ratio be expressed as a fraction?

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A ratio can be expressed as a fraction by placing the first term over the second term.

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What is the simplest form of the ratio 15 girls to 6 boys?

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5/2

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What does it mean to compare quantities using a ratio?

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Comparing quantities using a ratio means expressing the relationship between the quantities in a way that shows how much of one exists relative to the other.

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If there are 4 red apples and 3 green apples, what is the ratio of red apples to green apples?

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The ratio of red apples to green apples is 4 : 3.

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How do you write the ratio of 12 dogs to 6 cats?

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The ratio of 12 dogs to 6 cats can be simplified to 2 : 1.

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What is the ratio of PS4 games to Nintendo games if Mr. Keys has 11 PS4 games and 13 Nintendo games?

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The ratio of PS4 games to Nintendo games is 11 : 13.

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What is the difference between a ratio and a rate?

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A ratio compares two quantities, while a rate compares two quantities with different units (e.g., speed is a rate comparing distance and time).

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