Educational Curriculum

Learn About Ratios

Original educational guides created to build deep proportional reasoning and mathematical intuition.

What Is a Ratio?

Understand the fundamental mathematical definition of a ratio, standard notation forms (colon, word, fraction), and how ratios differ from counts.

Learn how to formulate a ratio from raw numbers, survey data, or measurements with worked examples and common unit conversion rules.

Step-by-step guide to reducing ratios to lowest terms using the Greatest Common Divisor (GCD) and handling decimal inputs.

Master algebraic cross-multiplication (A/B = C/D), find missing terms, and understand inverse versus direct proportionality.

Discover how to simplify, scale, and divide ratios with three or more terms (A:B:C) using multi-term GCD factoring.

A repeatable 4-step framework for tackling classroom and standardized test word problems, part-to-part and part-to-whole questions.

Understand the conceptual and mathematical differences between ratios (part-to-part) and percentages (parts per hundred).

Clear breakdown of when to represent quantities as comparative ratios versus parts of a unified fraction.

Try our interactive practice problem sets with instant feedback and step-by-step checks.