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Fraction Multiplication by Toh Wee Teck

Fraction Multiplication by Toh Wee Teck
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2016-08-14 19:25
This example demonstrates the process of fraction multiplication. It involves the core mathematical concepts of fractions and multiplication. Using GeoGebra commands such as Sequence, Element, Segment, Midpoint, Polygon, etc., a geometric model of fraction multiplication can be constructed. Suitable for high-grade elementary or junior high school students to learn fraction multiplication.

GeoGebra Commands & Parameters

  1. Sequence(A + (i / n * (B - A)), i, 1, n) → ab
  2. Sequence(A + (i / m * (D - A)), i, 1, m) → da
  3. Element(da, p) → G1
  4. Segment(A, B) → a
  5. Segment(B, C) → b
  6. Segment(C, D) → c
  7. Segment(D, A) → d
  8. Sequence(D + (i / n * (C - D)), i, 1, n) → cd
  9. Sequence(B + (i / m * (C - B)), i, 1, m) → bc
  10. Sequence(Segment[Element[cd, i], Element[ab, i]], i, 1, n) → Column
  11. Sequence(Segment[Element[bc, i], Element[da, i]], i, 1, m) → Row
  12. Element(ab, q) → E
  13. Segment(AX, EX) → e
  14. Midpoint(e) → F
  15. Segment(AY, GY) → f
  16. Midpoint(f) → H
  17. Element(cd, q) → E1
  18. Element(bc, p) → G
  19. Polygon(A, B, G, G1) → Fraction1, a_1, b_1, g, g1
  20. Polygon(A, E, E1, D) → Fraction2, a_2, e_1, e1, d_1
  21. GCD(p, m) → FPB1
  22. GCD(q, n) → FPB2
  23. Segment(BY, GY1) → h
  24. Midpoint(h) → M
  25. Segment(DX, EX1) → i
  26. Midpoint(i) → N
  27. Textfield(p) → Numerator1
  28. Textfield(m) → Denominator1
  29. Textfield(q) → Numerator2
  30. Textfield(n) → Denominator2
  31. Textfield(j) → Length
  32. GCD(p1Xq1, m1Xn1) → FPB3
  33. IntersectPath(Fraction1, Fraction2) → Result, I, J, K, L, k, l, t, f_1
  34. Polygon(A, B, C, D) → Original, a_3, b_2, c_1, d_2
  35. Segment(J, E) → g_1
  36. Segment(K, I) → h_1
  37. Intersect(g_1, h_1) → O
  38. Segment(P, Q) → i_1
  39. Segment(R, S) → j_1
  40. Textfield(o) → InputBox1

AI Drawing Prompt Reference

Draw a geometric model of fraction multiplication, including quadrilateral ABCD, and a grid of smaller rectangles formed by dividing and connecting segments AB, BC, CD, and DA. Use these grids to construct two fraction multiplication result shapes, one represented by p/m and the other by q/n, and finally display their least common multiple.
The prompt above was compiled from the original drawing commands and is for reference only.