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Equivalent Fractions by Scaling

Generate equivalent fractions by multiplying numerator and denominator by a common factor, then count or pin them down under digit, range, or difference constraints.

grade 4–5 Fractions algebraicsystematic

Builds on: Part-Whole Fraction ReasoningMultiplication as Equal Groups

Progression (2)

g4 1. Scaling numerator and denominator keeps value Fractions · advanced
g4 2. Apply conditions step by step, then count Fractions · advanced

Bridges to competition (3)

Reasoning problems that extend this idea toward competition:

Building fractions from number cards Counting → Small-Domain Constrained Search
Finding equivalent fractions Pattern & rule → Multiplicative Ratio with Integrality Constraints
Equivalent fractions from a diagram Pattern & rule → Multiplicative Ratio with Integrality Constraints

Leads to competition types: Multiplicative Ratio with Integrality ConstraintsSmall-Domain Constrained Search