Curriculum placement
Grade 4. This describes the skill, not a learner estimate.
Generating equivalent fractions
Generate equivalent fractions by scaling numerator and denominator
Problem types
- Rename with smaller pieces
- Rename with larger pieces
- Different pieces, same amount
- Fractions on a number line
- Select the equivalent fractions
Builds on
- Recognizing equivalent fractions
- One-digit multiplication facts
- Factors, multiples, primes, and composites · Useful idea
Dividing the numerator and denominator by a common factor gives an equivalent fraction in lower terms.
Leads to
- Tenths and hundredths as decimals
- Comparing fractions with benchmarks
- Adding and subtracting unlike fractions
- Multiplying fractions
- Understanding ratios · Extend the idea
Equivalent fractions and equivalent ratios both come from multiplying the two parts by one number. Checking whether a group keeps a ratio uses the same scaling that checks a fraction.
Related skills
- Patterns in the operations · Shared foundations
- Comparing fractions · Shared foundations
- Quotients from related facts · Shared foundations
- Equal multiplication and division equations · Shared foundations
- Multiplying by a multiple of 10 · Shared foundations
Open the interactive map to explore lessons and skill connections.