---
title: Fractions
description: Fractions represent parts of a whole or ratios between numbers. You will understand how to perform basic arithmetic operations—addition, subtraction, multiplication, and division—on fractional values and apply them to solve real-world division problems.
category: mathematics
subcategory: arithmetic-and-pre-algebra
difficulty: beginner, intermediate, advanced
url: /subject/fractions
---

# Fractions

Fractions represent parts of a whole or ratios between numbers. You will understand how to perform basic arithmetic operations—addition, subtraction, multiplication, and division—on fractional values and apply them to solve real-world division problems.

## Available Resources

3 Books • 2 Courses • 2 Websites

## Websites

### 1. Khan Academy Fractions

Free interactive Khan Academy unit on fractions with short videos and practice exercises covering equivalent fractions, comparing and ordering, adding and subtracting with unlike denominators, and multiplying and dividing fractions and mixed numbers.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://www.khanacademy.org/math/arithmetic-home/arith-review-fractions

**Tags:** fractions, arithmetic, equivalent-fractions, mixed-numbers

### 2. mathsisfun.com

MathIsFun.com is a beginner-friendly math site that explains concepts with clear, step-by-step lessons and interactive activities. It covers topics from algebra and linear equations to geometry, fractions, data, and more, with practice problems, worksheets, and quizzes.

**Difficulty:** Intermediate | **Language:** English | **Price:** Free

**Link:** https://mathsisfun.com

**Tags:** websites, mathematics-statistics, algebra

## Courses

### 1. Pre-Algebra

Master fractions with Sal Khan's Pre-Algebra course! Build a strong foundation for algebra and beyond.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://www.khanacademy.org/math/pre-algebra

**Tags:** pre-algebra, fractions, ratios, negative-numbers, arithmetic

### 2. Arithmetic

Master basic arithmetic! Learn addition, subtraction, multiplication, and division with expert instruction from Sal Khan.

**Difficulty:** Beginner | **Price:** Free

**Link:** https://www.khanacademy.org/math/arithmetic

**Tags:** arithmetic, addition, subtraction, multiplication, division, fractions

## Books

### 1. Teaching Fractions and Ratios for Understanding (5th Edition)

**Author:** Susan J. Lamon

Research-based account of rational-number reasoning: ratio, rate, unit rate, relative versus absolute comparison and proportional-reasoning strategies, developed through activities meant to be solved by reasoning rather than algorithms, with student work samples analysed chapter by chapter. The right pick for a tutor, parent or serious self-learner who wants to know why learners fail at proportions.

**Difficulty:** Advanced | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/1032936002?tag=edmonddante07-20

**Tags:** proportional-reasoning, rational-numbers, fractions, ratios, mathematics-education

### 2. Basic Math and Pre-Algebra For Dummies

**Author:** Mark Zegarelli

Plain-language review of the arithmetic that algebra depends on: whole-number operations, negative numbers, fractions, decimals, percents, ratios, basic geometry and measurement, and an introduction to variables and simple equations. Includes worked examples and practice problems.

**Difficulty:** Beginner | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/0470288175?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, arithmetic--pre-algebra

### 3. Arithmetic

**Author:** Paul Lockhart

Mathematician Paul Lockhart's conceptual history of counting and calculation, from tally marks and number systems to place value, fractions, and the algorithms of arithmetic. Explains why the standard procedures work, building number sense rather than drill.

**Difficulty:** Beginner | **Language:** English | **Price:** Paid

**Link:** https://www.amazon.com/dp/067423751X?tag=edmonddante07-20

**Tags:** books, mathematics-statistics, arithmetic--pre-algebra

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