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Fraction Simplification

Fraction Simplification
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2020-04-01 20:22
Geometric Construction
This example demonstrates the process of simplifying fractions. Key mathematical concepts include the properties of fractions and the application of the greatest common divisor. Using GeoGebra commands such as Sequence, Rotate, CircleSector, and GCD, the steps of fraction simplification are visually illustrated. Suitable for high-grade elementary and junior high school students learning fraction operations.

GeoGebra Commands & Parameters

  1. Sequence(Rotate[B, ((i * 360) * ° / denom), A], i, 1, denom) → liste1
  2. Sequence(Segment[A, Element[liste1, i]], i, 1, denom) → liste3
  3. Rotate(B, ((num * 360) * ° / denom), A) → B'_1
  4. CircleSector(A, B, B'_1) → d
  5. GCD(num, denom) → PGCD
  6. Circle(A, B) → e
  7. Circle(A, B) → c
  8. Sequence(Segment[A, Element[liste1, i]], i, 1, denom) → liste2
  9. Circle(A, B) → h
  10. Vector(A, C) → u
  11. Translate(h, u) → h'
  12. Translate(B, u) → D
  13. Rotate(D, ((num * 360) * ° / denom), C) → D'
  14. Sequence(Rotate[D, (((PGCD * i) * 360) * ° / denom), C], i, 1, denom / PGCD) → liste4
  15. CircleSector(C, D, D') → k
  16. Sequence(Segment[C, Element[liste4, i]], i, 1, denom / PGCD) → liste5
  17. CircleSector(C, D, D') → f
  18. Sequence(Rotate[B, (((PGCD * i) * 360) * ° / denom), A], i, 1, denom / PGCD) → liste4b
  19. Sequence(Segment[A, Element[liste4b, i]], i, 1, denom / PGCD) → liste6
  20. Segment(E, F) → i
  21. Segment(G, H) → j