Division by a Fraction

Division by a Fraction
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2018-05-10 19:03
In collections Fractions and decimals
This example demonstrates how to understand the concept of dividing by a fraction through geometric construction. Key mathematical concepts include fractions and division. Commands used include Point, If, Polygon, Sequence, FractionText, Rotate, etc. Suitable for middle school and above students to learn the geometric meaning of fraction division.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → C
  3. Point(xAxis) → D
  4. If(p ≟ false, j, 1) → allparts
  5. Point(xAxis) → B
  6. Polygon(A, B, 4) → polígono1, a, b, c, d, E, F
  7. Polygon(C, D, 4) → poly1, c_1, d_1, e, f, G, H
  8. Polygon(L, J, K, I) → poly1_1, l_1, j_2, k_1, i_1
  9. Sequence(Segment[(0, (5 * g / h)), (5, (5 * g / h))], g, 0, h) → lista1
  10. Sequence(Segment[(7, (5 * g / h)), (12, (5 * g / h))], g, 0, h) → lista6
  11. Sequence(Segment[(0 + (5 * i / j), 0), (0 + (5 * i / j), 5)], i, 0, j) → lista5
  12. Sequence(Segment[(7, (5 * i / j)), (12, (5 * i / j))], i, 0, j) → lista3
  13. FractionText(y(J) - (5 * g / h)) → vertdist
  14. Point(Circle[M, Segment[L, J]]) → N
  15. Rotate(N + (Segment[J, K], 0), Angle[K - J] + Angle[N - M] - Angle[J - L], N) → O
  16. Rotate(O + (Segment[K, I], 0), Angle[I - K] + Angle[O - N] - Angle[K - J], O) → P
  17. Polygon(V, W, Z, A_1) → q2, v, w, z_1, a_1
  18. Polygon(R, S, T, U) → q1, r, s, t, u
  19. Polygon(B_1, C_1, D_1, E_1) → q3, b_1, c_2, d_2, e_1
  20. Polygon(F_1, G_1, H_1, I_1) → q4, f_1, g_1, h_1, i_2
  21. Polygon(J_1, K_1, L_1, M_1) → q5, j_1, k_2, l_2, m_1
  22. Polygon(N_1, O_1, P_1, Q_1) → q6, n_1, o_1, p_1, q_1
  23. Polygon(R_1, S_1, T_1, U_1) → q7, r_2, s_2, t_2, u_2
  24. Polygon(V_1, W_1, Z_1, A_2) → q8, v_2, w_2, z_2, a_3

AI Drawing Prompt Reference

Draw a figure to illustrate the concept of dividing by a fraction. Start by creating points A, B, C, and D on the x-axis. Construct quadrilateral ABCD and quadrilateral EFGH. Create a series of parallel line segments on the x-axis to represent fraction division. Rotate points N, O, and P, and construct polygons q1 to q8 to demonstrate the geometric meaning of fraction division.
The prompt above was compiled from the original drawing commands and is for reference only.