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Reducing Fractions Demo

Reducing Fractions Demo
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2015-02-15 03:39
Coordinate Geometry
In collections Fractions: Skills & Concepts Fractions: Skills & Concepts
This example demonstrates how to reduce fractions by finding the prime factors of the numerator and denominator. It involves core math concepts like prime factorization, GCD (Greatest Common Divisor), and reduction. GeoGebra commands and objects used include RandomElement, Random, GCD, PrimeFactors, If, Join, Point, Segment, Circle, Sequence, Sector, Translate, Vector, TableText. Suitable for middle school mathematics teaching to help students understand and master the method of reducing fractions.

GeoGebra Commands & Parameters

  1. RandomElement({2, 3, 5}) → k
  2. Random(2, 10) → denom_1
  3. Random(1, denom_1 - 1) → numer_1
  4. GCD(numer_1, denom_1) → t
  5. PrimeFactors(num) → list1
  6. If(Length[list1] ≟ 1 ∧ IsPrime[num], {1}, {}) → list7
  7. Join({list1, list7}) → list8
  8. Point(xAxis) → B
  9. Segment(B, A) → a
  10. Point(a) → C
  11. Circle(C, 4) → d
  12. Sequence(m, m, 1, denom - 1, 1) → list3
  13. Sequence(Segment[A, A + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / denom) → list2
  14. Sector(c, 0, ((numer * 360) * ° / denom)) → e
  15. Random(2, ceil(24 / denom)) → mult
  16. Translate(d, Vector[B, (f, 0)]) → d'_1
  17. Vector(B, (f, 0)) → u
  18. PrimeFactors(30) → list4
  19. Sequence(Segment[C, C + ((4 * cos(α°)), (4 * sin(α°)))], α, 0, 360, 360 / den) → list5
  20. Sector(d, 0, ((num * 360) * ° / den)) → h
  21. Translate(list5, u) → list2'
  22. Translate(h, u) → e'
  23. TableText({list8}, "h") → text2
  24. PrimeFactors(den) → list6
  25. TableText({list6}, "h") → text3
  26. PrimeFactors(numer) → list9
  27. PrimeFactors(denom) → list10
  28. TableText({PrimeFactors[numer]}, "h") → text5
  29. TableText({PrimeFactors[denom]}, "h") → text6
  30. If(PrimeFactors[numer] ≟ {}, {1}, PrimeFactors[numer]) → list11
  31. TableText({list11}, "h") → text14

AI Drawing Prompt Reference

Draw a diagram to demonstrate fraction reduction, including a point A on the x-axis and a point B to its left, a circle centered at point C with several equally divided line segments and sectors representing the numerator and denominator. Randomly generate the numerator and denominator, calculate their greatest common divisor, and show the prime factors of both to illustrate the reduction process.
The prompt above was compiled from the original drawing commands and is for reference only.