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 write a ratio?

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A ratio can be written in three ways: using a colon (e.g., 4:5), as a fraction (e.g., 4/5), or with the word 'to' (e.g., 4 to 5).

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What does it mean to simplify a ratio?

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

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What is the ratio of 7 rainy days out of 28 days?

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7:28, which simplifies to 1:4.

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What is the ratio of 4 classrooms with 120 students?

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4:120, which simplifies to 1:30.

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What is the ratio of 2 boxes that can hold 14 books?

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2:14, which simplifies to 1:7.

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What is the ratio of 7 cell phone covers for 56 dollars?

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7:56, which simplifies to 1:8.

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What is the ratio of 36 dimes out of 60 coins?

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36:60, which simplifies to 3:5.

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What is a rate?

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

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How do you convert a ratio to a rate?

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To convert a ratio to a rate, ensure that the two quantities being compared have different units and express it in terms of one unit.

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