Fractions

This course is a part of Pre-algebra, a 10-course Topic series from Khan Academy.

Understanding fractions conceptually, using operations with fractions, and converting fractions.

This course contains 20 segments:

Fractions intro

Learn what a fraction is and identify unit fractions.

Fractions on the number line

Learn to identify fractions on a number line.

Equivalent fractions

Learn how to find equivalent fractions visually and by multiplying the numerator and denominator by the same number.

Comparing fractions

In this tutorial, we'll practice understanding what quantities fractions actually represent and comparing those to each other.

Common denominators

Using our knowledge of equivalent fractions, let's rewrite fractions to have the same denominator.

Decomposing fractions

See that a fraction can be broken up (or decomposed) into a bunch of other fractions.

Adding and subtracting fractions with like denominators

Learn how to add and subtract fractions. This is an introductory tutorial, so the fractions you add and subtract have the same denominators.

Mixed numbers

Learn how to write improper fractions as mixed numbers (and mixed numbers as improper fractions).

Adding and subtracting fractions with unlike denominators

Learn how to add and subtract fractions that have different denominators.

Adding and subtracting mixed number with unlike denominators

Learn how to add and subtract mixed numbers whose fractional parts have different denominators.

Adding and subtracting fractions word problems

Practice solving word problems by adding and subtracting fractions.

Multiplying whole numbers and fractions

Learn the art of multiplying whole numbers by fractions. See how 3 times 2/3 is the same as 6 times 1/3, which is the same as 6/3.

Multiplication as scaling

Learn to see multiplication as a way to grow (scale up) and shrink (scale down) other numbers.

Multiplying fractions

Learn how to multiply a fraction by a fraction.

Multiplying mixed numbers

Learn how to multiply mixed numbers.

Multiplying fractions word problems

Get some practice solving word problems by multiplying fractions.

Fractions as division

**Spoiler Alert!** The fraction bar and the division symbol are really saying the same thing.

Dividing unit fractions and whole numbers

Learn how to divide unit fractions by whole numbers. Example: 1/5 ÷ 3 = 1/15.

Dividing fractions by fractions

Learn how to divide fractions by other fractions.

Dividing fractions word problems

Practice solving word problems with fraction division.