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Addition of Fractions with Unlike Denominators

Addition of Fractions with Unlike Denominators
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2014-08-03 12:38
Coordinate GeometryGeometric Construction
This example demonstrates the process of adding fractions with unlike denominators, visually illustrating the importance of finding a common denominator. It involves core math concepts such as fraction addition, finding a common unit, and the concept of equivalent fractions. The construction uses GeoGebra commands like Polygon, Segment, Point, and OrthogonalLine. Suitable for middle school mathematics education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Segment(E, F) → e
  3. Segment(G, H) → g
  4. Segment(I, J) → h
  5. Segment(K, L) → i
  6. Segment(M, N) → j
  7. Segment(O, P) → k
  8. Segment(Q, R) → l
  9. Polygon(A_2, B_2, C_2, D_2) → poly2, a_2, b_2, c_2, d_2
  10. Segment(E_2, F_2) → f_1
  11. Segment(G_2, H_2) → g_1
  12. Segment(J_2, K_2) → h_1
  13. Segment(L_2, M_2) → i_1
  14. Segment(N_2, O_2) → j_1
  15. Segment(P_2, Q_2) → k_1
  16. Segment(R_2, S_2) → l_1
  17. Segment(T_2, U_2) → m_1
  18. Segment(V_2, W_2) → n_1
  19. Segment(Z_2, A_3) → r_1
  20. Segment(B_3, C_3) → s_1
  21. Segment(D_3, E_3) → t_1
  22. Segment(F_3, G_3) → e_2
  23. Segment(H_3, I_3) → f_2
  24. Segment(J_3, K_3) → g_2
  25. Segment(L_3, M_3) → h_2
  26. Segment(N_3, O_3) → i_2
  27. Segment(K_5, L_5) → m
  28. Segment(M_5, N_5) → n
  29. Segment(O_5, P_5) → p
  30. Point(yAxis) → S_1
  31. OrthogonalLine(S_1, yAxis) → q
  32. Point(q) → T_1
  33. OrthogonalLine(T_1, q) → r
  34. Point(r) → U_1
  35. Segment(U_1, T_1) → s
  36. Segment(Q_5, R_5) → t
  37. Segment(S_5, T_5) → a_1
  38. Segment(U_5, V_5) → b_1
  39. Segment(W_5, Z_5) → c_1
  40. Segment(A_6, B_6) → d_1
  41. Polygon(A_2, J_2, K_2, D_2) → poly3, a_3, j_2, k_2, d_3
  42. Polygon(A, I, J, D) → poly4, a_4, i_3, j_3, d_4
  43. Segment(C_6, D_6) → e_1
  44. Segment(E_6, F_6) → l_2
  45. Segment(G_6, H_6) → m_2
  46. Segment(I_6, J_6) → n_2
  47. Segment(K_6, L_6) → r_2
  48. Segment(M_6, N_6) → s_2
  49. Segment(O_6, P_6) → t_2
  50. Segment(Q_6, R_6) → b_3
  51. Segment(S_6, T_6) → c_3
  52. Segment(U_6, V_6) → e_3
  53. Segment(W_6, Z_6) → f_3
  54. Segment(A_7, B_7) → g_3
  55. Segment(C_7, D_7) → h_3
  56. Segment(E_7, F_7) → k_3
  57. Segment(G_7, H_7) → l_3
  58. Segment(I_7, J_7) → m_3
  59. Segment(K_7, L_7) → n_3
  60. Segment(M_7, N_7) → q_3
  61. Segment(O_7, P_7) → r_3
  62. Segment(Q_7, R_7) → s_3
  63. Segment(S_7, T_7) → t_3
  64. Segment(U_7, V_7) → b_4
  65. Segment(W_7, Z_7) → c_4
  66. Segment(A_8, B_8) → e_4
  67. Segment(C_8, D_8) → f_4
  68. Segment(E_8, F_8) → g_4
  69. Segment(G_8, H_8) → h_4
  70. Segment(I_8, J_8) → i_4
  71. Segment(K_8, L_8) → j_4
  72. Segment(M_8, N_8) → k_4
  73. Segment(O_8, P_8) → l_4
  74. Segment(Q_8, R_8) → m_4
  75. Segment(S_8, T_8) → n_4
  76. Segment(U_8, V_8) → p_4
  77. Segment(W_8, Z_8) → q_4
  78. Segment(A_9, B_9) → r_4
  79. Segment(C_9, D_9) → s_4
  80. Segment(E_9, F_9) → t_4
  81. Segment(G_9, H_9) → a_5
  82. Segment(I_9, J_9) → b_5
  83. Segment(K_9, L_9) → c_5
  84. Segment(M_9, N_9) → d_5
  85. Segment(O_9, P_9) → e_5
  86. Segment(Q_9, R_9) → f_5
  87. Segment(S_9, T_9) → g_5
  88. Segment(U_9, V_9) → h_5
  89. Segment(W_9, Z_9) → i_5
  90. Segment(A_10, A_11) → j_5
  91. Segment(C_11, D_11) → k_5
  92. Segment(E_11, F_11) → l_5