Fractions
Understand, compare, and calculate with parts of a whole.
More than parts of a whole.
From your first unit fraction to multiplying and dividing, explore the ideas that connect fractions. These sections form a flexible pathway, not a required checklist.
All 13 lessons include explanations, worked examples, interactive models, practice with instant feedback, and a mastery check. The starting-point check adapts to your answers and builds a personal pathway. Sign in to save progress to a learner profile across devices.
Start with understanding. Build connections.
Fundamental Understanding
Build a clear picture of what fractions mean.
F01Understanding unit fractions
Interpret one equal part of a whole using visual models.
Non-unit fractions and fractions greater than one
Build fractions from unit fractions, including amounts beyond one whole.
Fractions on number lines
Locate fractions as numbers and measure distances from zero.
Comparison and Equivalence
Discover different representations of the same amount.
F04Comparing fractions with the same numerator or denominator
Reason about the number and size of equal parts.
Recognizing equivalent fractions
Recognize when different fractions represent the same quantity.
Generating equivalent fractions
Multiply or divide numerator and denominator by the same nonzero number.
Comparing fractions with different numerators and denominators
Use benchmarks and equivalent fractions to compare amounts.
Addition and Subtraction
Combine and separate fractional quantities.
F08Adding fractions with like denominators
Combine equal-sized fractional parts.
Subtracting fractions with like denominators
Find the difference between quantities with equal-sized parts.
Adding and subtracting fractions with unlike denominators
Use equivalent fractions to work with a common unit.
Multiplication and Division
Explore groups, scaling, and sharing with fractions.
F11Multiplying whole numbers by fractions
Connect repeated addition to groups of fractional quantities.
Multiplying fractions
Interpret a fraction of a fraction through area and scaling.
Dividing fractions
Reason about how many fractional groups fit into a quantity.