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Simple Fraction Division

Simple Fraction Division
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2018-12-15 03:08
Probability & StatisticsGeometric Construction
This example demonstrates how to perform division with simple fractions. It involves the core mathematical concept of basic fraction operations. Using GeoGebra commands such as Segment, VertBars, and HorzBars, the visualization of simple fraction division is constructed. Suitable for high-grade elementary or low-grade middle school students to learn fraction division.

GeoGebra Commands & Parameters

  1. Segment(F, B) → r
  2. VertBars(A, (x(A) + (n_2 * SqrSize / d_2), SqrSize + y(A)), n_2) → poly1, e, f, g, h, llista1
  3. VertBars((x(A) + (n_2 * SqrSize / d_2), y(A)), (x(A) + SqrSize, SqrSize + y(A)), d_2 - n_2) → poly2, i, j, k, l, llista2
  4. HorzBars(C, (SqrSize + x(C), (n_1 * SqrSize / d_1)), n_1) → poly3, a, b, c, d, llista3
  5. HorzBars((x(C), (n_1 * SqrSize / d_1)), (SqrSize + x(C), SqrSize), d_1 - n_1) → poly4, m, n, p, q, llista4
  6. If(Distance[A, C] < 0.01, true, false) → Over
  7. Translate(llista3, (7, 0)) → llista3'
  8. Translate(llista4, (7, 0)) → llista4'
  9. Translate(poly3, (7, 0)) → poly3'
  10. Translate(poly4, (7, 0)) → poly4'
  11. Segment(H, I) → a_1
  12. Polygon(K, D, L, J) → Polígon1, k_1, d_3, l_1, j_1
  13. Segment(K, I) → s
  14. Segment(J, M) → t
  15. Translate(llista1, (0, -7)) → llista1'
  16. Translate(llista2, (0, -7)) → llista2'
  17. Translate(poly1, (0, -7)) → poly1'
  18. Translate(poly2, (0, -7)) → poly2'
  19. Segment(N, O) → b_1
  20. Polygon(P, I, M, Q) → Polígon2, p_1, i_1, m_1, q_1
  21. Polygon(O, I, R, S) → Polígon3, o, i_2, r_1, s_1
  22. Midpoint(Q, P) → T
  23. Midpoint(G, S) → U

AI Drawing Prompt Reference

Create a visual example of simple fraction division using rectangles divided by vertical and horizontal lines to represent the numerator and denominator. Start with a long line segment, then divide it into parts with vertical bars to show the fractions. Do the same on another line segment. Translate and combine the parts to illustrate the division clearly, helping students understand fraction operations.
The prompt above was compiled from the original drawing commands and is for reference only.