Ratios

Understand and work with ratios

Start with the basics and progress through 3 lessons. Each lesson builds on the previous one.

Test Your Knowledge

10 questions, new mix each time (from 47)

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In This Topic (3 lessons)

Ratios compare quantities using division. From recipes to maps to financial analysis, ratios appear everywhere in daily life. Understanding how to write, simplify, and interpret ratios is a foundational mathematical skill.

What You'll Learn

  • Write ratios in different forms
  • Simplify ratios to lowest terms
  • Find equivalent ratios
  • Interpret ratios in context
  • Solve ratio word problems

Frequently Asked Questions

What is a ratio?

A ratio compares two quantities. The ratio of a to b can be written as a:b, a/b, or "a to b". Order matters: 3:4 is different from 4:3.

How do I simplify a ratio?

Divide both parts by their greatest common factor. 12:18 simplifies to 2:3 (divide both by 6).

What is the difference between a ratio and a fraction?

A ratio compares any two quantities (3 boys to 4 girls = 3:4). A fraction shows a part of a whole (3 boys out of 7 total students = 3/7).