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Ratios & Proportions

Free lessons and practice worksheets for ratios & proportions — worked examples, common mistakes, and step-by-step solutions.

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Ratios & Proportions3 min read
Ratios & Proportions
A ratio expresses the relationship between two quantities by showing how many times one contains the other, written as a:b or a/b. Proportions occur when two ratios are equal, such as 3:4 = 6:8, forming the foundation for solving problems involving scaling, rates, and comparisons. The cross-multiplication method (if a/b = c/d, then a×d = b×c) provides a systematic way to find unknown values in proportional relationships.