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Subtracting Fractions by venkuchimal

Subtracting Fractions by venkuchimal
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2017-11-05 17:50
Coordinate Geometry
This example demonstrates the process of subtracting fractions. It involves key mathematical concepts such as fractions and rational numbers. Using GeoGebra commands like Point, Circle, Segment, etc., it visually illustrates the steps of fraction subtraction. Suitable for high-grade elementary and junior high school students to learn fraction operations.

GeoGebra Commands & Parameters

  1. Point(c) → A
  2. Circle(A, squaresize) → d
  3. OrthogonalLine(A, c) → e
  4. Intersect(d, e, 2) → B_1
  5. Intersect(d, c, 2) → C
  6. Segment(B_1, C) → f
  7. Mirror(A, f) → A'
  8. Sequence((x(A) + (i * squareside / denominator2), y(A)), i, 1, denominator2) → DotsBottom
  9. Sequence((x(B_1) + (i * squareside / denominator2), y(B_1)), i, 1, denominator2) → DotsTop
  10. Polygon(A, (x(A) + (numerator2 * squaresize / denominator2), y(A)), (x(B_1) + (numerator2 * squaresize / denominator2), y(B_1)), B_1) → poly1, a, h, i, j
  11. Sequence(Segment[(x(A) + (i * squaresize / denominator2), y(A)), (x(B_1) + (i * squaresize / denominator2), y(B_1))], i, 1, denominator2) → DashedLines1
  12. Polygon(A, C, A', B_1) → poly2, a_1, c_1, a', b_1
  13. Point(c) → B
  14. Circle(B, squaresize) → g
  15. OrthogonalLine(B, c) → b
  16. Intersect(g, b, 2) → E
  17. Intersect(g, c, 2) → F
  18. OrthogonalLine(E, b) → k
  19. OrthogonalLine(F, c) → l
  20. Intersect(k, l) → G
  21. Sequence((x(B), y(B) + (i * squaresize / denominator1)), i, 1, denominator1) → DotsLeft
  22. Sequence((x(F), y(F) + (i * squaresize / denominator1)), i, 1, denominator1) → DotsRight
  23. Sequence(Segment[(x(B), y(B) + (i * squaresize / denominator1)), (x(F), y(F) + (i * squaresize / denominator1))], i, 1, denominator1) → DashedLines2
  24. Polygon(B, F, (x(F), y(F) + (numerator1 * squaresize / denominator1)), (x(B), y(B) + (numerator1 * squaresize / denominator1))) → poly3, d_1, f_1, m, n
  25. Polygon(B, F, G, E) → poly4, d_2, f_2, g_1, e_1
  26. GCD(MixedNum, commondenom) → ReduceBy
  27. Random(2, 10) → seeddenominator1
  28. Random(2, 10) → seeddenominator2