Writing and Simplifying Ratios

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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 express a ratio?

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A ratio can be expressed in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or in words (e.g., '2 to 3').

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What is the simplest form of a ratio?

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The simplest form of a ratio is when the numbers are reduced to their lowest terms, meaning they have no common factors other than 1.

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How do you simplify the ratio 14:21?

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To simplify 14:21, divide both numbers by their greatest common divisor, which is 7. Thus, 14:21 simplifies to 2:3.

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What is the ratio of birds to total animals if there are 4 birds and 6 snakes?

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The ratio of birds to total animals is 4 to (4+6) = 4 to 10, which simplifies to 2:5.

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What is the greatest common divisor (GCD)?

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The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder.

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How can you represent the ratio 20:45 in simplest form?

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To simplify 20:45, divide both numbers by their GCD, which is 5. Thus, 20:45 simplifies to 4:9.

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What does it mean to write a ratio in lowest terms?

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Writing a ratio in lowest terms means reducing it so that the two numbers have no common factors other than 1.

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Can a ratio be expressed as a decimal?

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Yes, a ratio can be expressed as a decimal by dividing the first number by the second number.

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What is an example of a ratio that cannot be simplified?

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The ratio 1:2 cannot be simplified further because 1 and 2 have no common factors other than 1.

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