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Fraction Division < 1 with Common Denominator

Fraction Division < 1 with Common Denominator
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2016-01-19 08:22
Coordinate GeometryGeometric Construction
In collections Division Concepts
This example demonstrates the division of two proper fractions using the common denominator method. Key math concepts include fraction division, least common multiple (LCM), and ratio relationships. Construction highlights involve using GeoGebra commands like LCM for calculating the least common denominator, DivPoint for division operations, Polygon and Segment for visualizing fraction representations, Textfield for displaying results, and Sequence for creating sequences. Suitable for middle school mathematics education to understand the principles of fraction division and the common denominator approach.

GeoGebra Commands & Parameters

  1. LCM(b, d) → o
  2. DivPoint(B, C, o) → list8
  3. DivPoint(A, D, o) → list7
  4. Polygon(E, F, G, H) → poly2, e, f_2, g, h
  5. Segment(I, J) → i
  6. Segment(K, L) → j
  7. Textfield(a) → InputBox1
  8. Textfield(b) → InputBox2
  9. Textfield(c) → InputBox3
  10. Textfield(d) → InputBox4
  11. Polygon(A, D, C, B) → poly1, a_1, d_1, c_1, b_1
  12. DivPoint(A, D, b) → list1
  13. DivPoint(B, C, b) → list2
  14. DivPoint(E, F, d) → list3
  15. DivPoint(H, G, d) → list4
  16. Sequence(Segment[Element[list1, i], Element[list2, i]], i, 1, b) → list5
  17. Sequence(Segment[Element[list3, i], Element[list4, i]], i, 1, d) → list6
  18. Polygon(A, Element[list1, a], Element[list2, a], B) → poly3, a_2, k, l, b_2
  19. Polygon(E, Element[list3, c], Element[list4, c], H) → poly4, e_1, m, n, h_1
  20. DivPoint(E, F, o) → list9
  21. DivPoint(H, G, o) → list10
  22. Sequence(Segment[Element[list7, i], Element[list8, i]], i, 1, o) → list11
  23. Sequence(Segment[Element[list9, i], Element[list10, i]], i, 1, o) → list12
  24. Polygon(A, Element[list7, t], Element[list8, t], B) → poly5, q, r, f_1, g_1
  25. Sequence(Polygon[Element[list7, (t * i)], Element[list7, (t * (i + 1))], Element[list8, (t * (i + 1))], Element[list8, (t * i)]], i, 1, p - 1) → list13