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Chapter 6. Ratios, Proportions, and Variation

• 6.1 Definitions

• 6.2 Comparing Ratios to Fractions and Percents

• 6.3 Variation and Proportion

Definitions

In this section, ratios and proportions are defined.

Ratios depict the relation between two similar values with respect to the number of times the first contains the second. A ratio represents a comparison between two quantities. For example, if the ratio between apples and oranges in a fruit bowl is 3 to 2, then for every 3 applies there are 2 oranges.

• Ratios are written 3 to 2, 3:2, and 3/2.

• The difference between ratios and fractions is that fractions represent part-per-whole, and ratios represent part-per-part.

Proportions are a comparative relation between the size, quantity, etc., of objects ...

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