Equivalent Fractions
Different names for the same amount.
Equivalent fractions are different names for the same amount: two quarters is one half. Seeing them land on the same point of a number line — rather than being told to multiply top and bottom — is what makes equivalence meaningful. Typically ages seven to eight.
Play this lesson with narration →½ = ²⁄₄ = ⁴⁄₈
Take one half. Split each half in two — now it's two quarters. Split each quarter in two — now it's four eighths. Same amount every time.
The rule
To make an equivalent fraction, multiply the top and bottom by the same number. That's why one over two equals two over four.
What parents should watch for
- Treating the numerator and denominator as two separate whole numbers.
- Believing more pieces always means more amount.
- Comparing fractions of different-sized wholes.
- Learning the times-the-same-number rule without any picture behind it.
Land 45 · Fraction Line Falls — 10 levels for ages 6–8 in the fractions strand. Mapped to 3.NF.A.2 (Common Core), Numbers (UK EYFS/KS1) and P2 Fractions (Singapore Math).
Play Fraction Line Falls in the Yaze Adventure Map — games built on this exact skill.
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