Grade 3 · Number & Operations
Equivalent Fractions
Learn to reason about parts of a whole, equivalence, and fraction size through clear explanations, worked examples, an interactive model, and guided practice.
Lesson coverage
Learn the whole topic, not just one problem type.
This lesson and its practice bank deliberately rotate across these core facets so students build a connected understanding of the subject.
Interpret fractions as numbers and parts of wholes.
Generate, simplify, and recognize equivalent fractions.
Compare fractions and place them on number lines.
Use the operation named by the lesson with fractions.
Solve fraction word problems and check reasonableness.
Build the idea
Equivalent Fractions is part of the establish multiplication/division, fractions as numbers, area, perimeter, measurement, and data interpretation. Start by identifying what each quantity, symbol, diagram, or graph represents before calculating.
Meaning & models
Interpret fractions as numbers and parts of wholes. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.
Equivalence
Generate, simplify, and recognize equivalent fractions. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.
Compare & locate
Compare fractions and place them on number lines. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.
Operations
Use the operation named by the lesson with fractions. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.
Applications
Solve fraction word problems and check reasonableness. Use a representation that fits the idea, connect it to the relevant mathematical relationship, and explain how the representation supports the result.
Use a reliable strategy
Write the relationship in a consistent form, identify what stays equivalent, then scale or simplify while preserving that relationship.
Check and explain
A correct answer is only part of mathematical understanding. Check units, signs, scale, and whether the result makes sense. Then explain the relationship in words so you can recognize the same structure when the numbers or context change.
Key terms
Words to know
- Equivalent Fractions
- The central skill or relationship explored in this lesson.
- Numerator
- The top number showing how many parts are considered.
- Denominator
- The bottom number showing how many equal parts make a whole.
- Equivalent
- Different representations with the same value.
Interactive math lab · 🧱 blocks
Change it. See it. Understand it.
Move along the number line and connect position with magnitude.
| One less | 3 |
|---|---|
| Number | 4 |
| One more | 5 |
Worked examples
See the idea in action.
Multiply numerator and denominator by the same nonzero factor.
With the same denominator, compare numerators.
Guided practice
20 questions drawn from a 150-question lesson bank.
Each practice session mixes the major skills in this lesson so you practice the whole topic, not just one repeated problem type.
In 1/3, what does the numerator 1 tell you?
Curriculum reference
Built as a continuous K–12 progression.
The sequence follows widely used K–12 mathematics progressions and references the Common Core mathematics framework. Explanations, examples, interactive models, and practice questions are original FreeLearnHub material.