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Converting Decimals to Fractions by Cina

Converting Decimals to Fractions by Cina
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2020-07-07 22:27
SequenceProbability & Statistics
This example demonstrates how to convert decimals to fractions. Key mathematical concepts include fractions and division. Using GeoGebra commands such as RandomDiscrete, Random, If, GCD, etc., a dynamic conversion process is constructed. Suitable for middle school and above students to learn the method of converting decimals to fractions.

GeoGebra Commands & Parameters

  1. RandomDiscrete({10, 100, 1000}, {1, 3, 2}) → Rawd_2
  2. Random(1, Rawd_2 - 1) → Rawn_2
  3. RandomDiscrete({10, 100, 1000}, {1, 3, 2}) → Rawd_1
  4. Random(1, Rawd_1 - 1) → Rawn_1
  5. RandomDiscrete({10, 100, 1000}, {1, 3, 2}) → XRawd_1
  6. Random(1, XRawd_1 - 1) → XRawn_1
  7. If(Mod[Rawn_1, 100] ≟ 0, Rawd_1 / 100, If[Mod[Rawn_1, 10] ≟ 0, Rawd_1 / 10, Rawd_1]) → d_1
  8. If(Mod[Rawn_1, 100] ≟ 0, Rawn_1 / 100, If[Mod[Rawn_1, 10] ≟ 0, Rawn_1 / 10, Rawn_1]) → n_1
  9. GCD(n_1, d_1) → HCF_1
  10. Textfield(Sd_1) → inputBox2
  11. Textfield(Sn_1) → inputBox1
  12. Intersect(xAxis, yAxis) → B
  13. Line(B, C) → a
  14. OrthogonalLine(A, a) → b
  15. Point(b) → D
  16. OrthogonalLine(D, b) → c
  17. Point(c) → E
  18. Textfield(SAn_1) → inputBox3
  19. Textfield(SAd_1) → inputBox4
  20. Point(c) → F
  21. Point(c) → G
  22. FromBase(SAn_1, 10) → Simn_1
  23. FromBase(SAd_1, 10) → Simd_1
  24. If(Mod[XRawn_1, 100] ≟ 0, XRawd_1 / 100, If[Mod[XRawn_1, 10] ≟ 0, XRawd_1 / 10, XRawd_1]) → Xd
  25. If(Mod[XRawn_1, 100] ≟ 0, XRawn_1 / 100, If[Mod[XRawn_1, 10] ≟ 0, XRawn_1 / 10, XRawn_1]) → Xn
  26. GCD(Xn, Xd) → XHCF
  27. If(Mod[Rawn_2, 100] ≟ 0, Rawd_2 / 100, If[Mod[Rawn_2, 10] ≟ 0, Rawd_2 / 10, Rawd_2]) → d_2
  28. If(Mod[Rawn_2, 100] ≟ 0, Rawn_2 / 100, If[Mod[Rawn_2, 10] ≟ 0, Rawn_2 / 10, Rawn_2]) → n_2
  29. GCD(n_2, d_2) → HCF_2
  30. Textfield(Sd_2) → inputBox2_1
  31. Textfield(Sn_2) → inputBox1_1
  32. Textfield(SAn_2) → inputBox3_1
  33. Textfield(SAd_2) → inputBox4_1
  34. FromBase(SAn_2, 10) → Simn_2
  35. FromBase(SAd_2, 10) → Simd_2
  36. Mod(n_1, Simn_1) → Modn_1
  37. Mod(n_2, Simn_2) → Modn_2
  38. Mod(d_1, Simd_1) → Modd_1
  39. Mod(d_2, Simd_2) → Modd_2

AI Drawing Prompt Reference

Draw a dynamic process of converting fractions to decimals. First, generate three random numbers representing the denominator and numerator. Convert the numerator and denominator to their simplest form by checking remainders. Then, plot these numbers in a coordinate system, including lines, perpendicular lines, and points. Finally, display the converted fraction and decimal, and their relationships.
The prompt above was compiled from the original drawing commands and is for reference only.