Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

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How do you write a ratio?

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A ratio can be written in three ways: as a fraction (e.g., 1/2), with a colon (e.g., 1:2), or in words (e.g., '1 to 2').

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What are equivalent ratios?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different (e.g., 1:2 and 2:4).

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How do you find equivalent ratios?

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To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number.

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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 two numbers are reduced to their smallest whole number values while maintaining the same relationship.

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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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If a class has 16 boys and 32 girls, what is the ratio of girls to boys in simplest form?

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What is the relationship between ratios and fractions?

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Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

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How can you use a ratio table?

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A ratio table helps to organize equivalent ratios and can be used to find missing values in a proportional relationship.

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What is a proportion?

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