Division of a Fraction by a Whole Number

Division of a Fraction by a Whole Number
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2016-06-03 13:25
This example demonstrates the division of a fraction by a whole number through geometric construction. Key mathematical concepts include fraction division and geometric construction. Commands used include Intersect, Point, Polygon, Segment, etc. Suitable for high-grade elementary or junior high school students to learn the concept of fraction division.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → U
  2. Point(xAxis) → R
  3. Point(yAxis) → T
  4. Polygon(U, R, S, T) → poly1, q, r, s, t
  5. Polygon(T, X1, X2, U) → poly2, t_1, f1, f2, q_1
  6. Segment(B2, B1) → f
  7. Segment(C2, C1) → g
  8. Segment(D2, D1) → h
  9. Segment(E2, E1) → i
  10. Segment(F2, F1) → j
  11. Segment(G2, G1) → k
  12. Segment(H2, H1) → l
  13. Segment(I2, I1) → m
  14. Segment(A2_1, A1_1) → n
  15. Segment(B1_1, B2_1) → p
  16. Segment(C2_1, C1_1) → a_1
  17. Segment(D2_1, D1_1) → b_1
  18. Segment(E2_1, E1_1) → c_1
  19. Segment(F2_1, F1_1) → d_1
  20. Segment(G2_1, G1_1) → e_1
  21. Segment(H2_1, H1_1) → f_1
  22. Segment(M, M1) → g_1
  23. Segment(N, N1) → h_1
  24. Segment(O, O1) → i_1
  25. Segment(P, P1) → j_1
  26. Polygon(M, M1, X2, U) → poly3, m_1, m1, x2, q_2
  27. Segment(Q1, Q) → k_1
  28. Segment(M1, M_1) → l_1
  29. Segment(N1, N_1) → n_1
  30. Segment(O1, O_1) → p_1
  31. Segment(P1, P_1) → r_1
  32. Segment(Q1, Q_1) → s_1

AI Drawing Prompt Reference

Draw a triangle in a coordinate system where two lines intersect. One vertex is on the x-axis, another on the y-axis, and the third at the intersection point. Connect these points and draw line segments from the intersection to the x-axis and y-axis. Keep the drawing clear and simple for beginners.
The prompt above was compiled from the original drawing commands and is for reference only.