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Subtracting Fractions by Halil Güldiken

Subtracting Fractions by Halil Güldiken
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2014-09-23 03:17
FunctionSequenceCalculus
This example demonstrates the process of subtracting fractions. It involves the core mathematical concept of fraction subtraction. Using GeoGebra commands such as Sequence, Segment, Polygon, etc., it dynamically shows the steps of fraction subtraction. Suitable for high-grade elementary or junior high school students to learn fraction operations.

GeoGebra Commands & Parameters

  1. Sequence((x(A_1) + (i * (x(C_1) - x(A_1)) / f), y(A_1)), i, 0, f) → liste3
  2. Sequence((x(B_1) + (i * (x(D_1) - x(B_1)) / f), y(D_1)), i, 0, f) → liste4
  3. Segment(A, B) → b
  4. Segment(B, D) → c
  5. Segment(A, C) → d
  6. Segment(D, C) → e
  7. Segment(A_1, B_1) → b_1
  8. Segment(B_1, D_1) → c_1
  9. Segment(A_1, C_1) → d_1
  10. Segment(D_1, C_1) → e_1
  11. Sequence((x(A) + (i * (x(C) - x(A)) / n), y(A)), i, 0, n) → liste1
  12. Sequence((x(B) + (i * (x(D) - x(B)) / n), y(D)), i, 0, n) → liste2
  13. LaTeX(f, true, true) → metin1
  14. Sequence(Segment[Element[liste1, i], Element[liste2, i]], i, 1, n) → liste5
  15. Polygon(Element[liste3, 1], Element[liste3, k + 1], Element[liste4, k + 1], Element[liste4, 1]) → çokgen1, g, h, i, j
  16. Sequence(Segment[Element[liste3, i], Element[liste4, i]], i, 1, f) → liste6
  17. Polygon(Element[liste1, 1], Element[liste1, m + 1], Element[liste2, m + 1], Element[liste2, 1]) → çokgen2, l, p, q, r
  18. Sequence((x(A) + (i * (x(C) - x(A)) / s), y(A)), i, 0, s) → liste7
  19. Sequence((x(B) + (i * (x(D) - x(B)) / s), y(D)), i, 0, s) → liste8
  20. Sequence(Segment[Element[liste7, i], Element[liste8, i]], i, 1, s) → liste9
  21. Sequence((x(A_1) + (i * (x(C_1) - x(A_1)) / o), y(A_1)), i, 0, o) → liste10
  22. Sequence((x(B_1) + (i * (x(D_1) - x(B_1)) / o), y(D_1)), i, 0, o) → liste11
  23. Sequence(Segment[Element[liste10, i], Element[liste11, i]], i, 1, o) → liste12
  24. Intersect(d, p) → F
  25. Point(p) → E
  26. Intersect(d_1, h) → G
  27. Point(h) → H
  28. Polygon(E, F, G, H) → çokgen3, e_2, f_1, g_1, h_1
  29. LCM(A2:B2) → B4
  30. Textfield(k) → MetinAlanı1
  31. Textfield(f) → MetinAlanı2
  32. Textfield(m) → MetinAlanı3
  33. Textfield(n) → MetinAlanı4
  34. GCD(A9:B9) → B10
  35. Polygon(I, J, K, L) → çokgen4, ı, j_1, k_1, l_1

AI Drawing Prompt Reference

Draw a diagram for subtracting fractions, including two fractions A/B and C/D, and their difference E/F. First, draw the representations of fractions A/B and C/D, then draw their difference E/F. Next, draw the representation of the least common multiple of the denominators of A/B and C/D, and the greatest common divisor of their numerators. Finally, draw the polygon representing the difference of the fractions.
The prompt above was compiled from the original drawing commands and is for reference only.