Essential Math: Ratios and Proportions

Ratios and proportions are the building blocks of quantitative reasoning, used everywhere from cooking to finance. This course provides a clear, step-by-step introduction to these fundamental concepts. By the end of this text-only program, you will be able to confidently set up, simplify, and solve complex proportional problems, mastering the techniques required for scaling recipes, calculating mixtures, and analyzing rates of change. What you'll learn: Understand the definitions of ratio, rate, and proportion and how they differ. Simplify and compare ratios, including ratios involving three or more quantities. Apply unit rates and scaling factors to perform accurate unit conversions and adjustments. Solve direct and inverse proportion problems using both unitary method and cross-multiplication. Practice dividing quantities proportionally, such as splitting costs, profits, or ingredients accurately. Configure complex proportional chains and compound ratios found in quantitative data analysis. The material begins with foundational definitions and basic simplification techniques, gradually advancing to solving applied word problems and complex proportional relationships through worked examples and practice exercises. This course is designed specifically for absolute beginners who need a solid foundation in quantitative mathematics. No prior mathematical knowledge beyond basic arithmetic is required. Start building your foundational math skills today.