Fraction Guides
Comprehensive guides explaining fraction concepts, operations, and conversions. Each guide covers the theory, common methods, practical applications, and frequently asked questions about the topic.
How to Add Fractions
Learn the complete method for adding fractions, including finding common denominators, adding numerators, and simplifying results. Covers both proper fractions and mixed numbers.
Essential foundation skill for all fraction work
How to Divide Fractions
Master fraction division using the multiply-by-reciprocal method. Includes explanation of why this method works and how to handle whole numbers and mixed numbers.
Often considered the trickiest fraction operation
Fractions to Decimals and Percent
Convert between fractions, decimals, and percentages with confidence. Covers division methods, common conversions to memorize, and when to use each format.
Critical for real-world applications and comparisons
What's in Each Guide
Every guide on this site follows a consistent structure designed to take you from basic understanding to confident application:
Concept Introduction
Clear explanation of what the operation means and why it's useful in mathematics and everyday situations.
Step-by-Step Method
The standard algorithm broken down into manageable steps with examples showing each stage of the process.
Common Scenarios
Real-world situations where you'd use this skill, from cooking measurements to construction calculations.
Common Mistakes
Typical errors to watch out for, with explanations of why these mistakes happen and how to avoid them.
Practice Resources
Links to relevant calculators and worked examples for immediate practice and application of the concepts.
How to Use These Guides
These guides work best when used alongside the calculators and worked examples:
- Start with the Guide: Read through to understand the method and reasoning
- Try the Examples: Follow along with worked examples to see the method in action
- Use the Calculator: Practice with your own numbers using the relevant calculator
- Review as Needed: Return to the guide when you encounter unfamiliar situations
The guides assume basic familiarity with whole numbers and simple arithmetic. If you're completely new to fractions, start with the "How to Add Fractions" guide, as it establishes fundamental concepts used throughout fraction mathematics.
Different textbooks and curricula may teach these concepts in different orders or with different notation. The methods shown here are widely accepted standard approaches, but always check that they align with what your instructor or textbook expects.