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Decimal to Fraction Conversion

Decimal to Fraction Conversion
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2023-05-08 16:35
In collections Wiederholung II: Erweitern & Kürzen, Darstellungsarten Bruchzahlen in endliche Dezimalzahlen umrechnen
This example demonstrates how to convert decimal numbers to fractions. It involves the key mathematical concepts of fraction representation and conversion between decimal and fraction forms. The construction points include using GeoGebra's Shuffle, Append, Remove commands to generate random fractions and decimal numbers. Suitable for middle school math education, particularly for students learning

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[Random[1, 99], i, 1, 100]) → randomNosForX, {60, 50, 46, 34, 33, 98, 86, 7, 63, 76, 75, 68, 5, 27, 69, 93, 97, 45, 55, 12, 8, 10, 7, 46, 94, 33, 33, 57, 57, 9, 88, 25, 58, 93, 35, 27, 92, 10, 30, 20, 87, 93, 56, 91, 49, 14, 35, 56, 60, 30, 31, 79, 21, 32, 3, 98, 18, 64, 24, 82, 27, 44, 62, 82, 16, 72, 55, 72, 14, 46, 69, 3, 32, 55, 12, 99, 17, 66, 88, 89, 74, 53, 3, 36, 65, 16, 61, 86, 27, 89, 70, 43, 18, 7, 36, 22, 12, 92, 38, 5}
  2. Shuffle(Sequence[Random[1, 9], i, 1, 100]) → randomNosForY, {2, 1, 3, 8, 6, 9, 9, 9, 8, 6, 7, 8, 9, 3, 6, 8, 8, 3, 7, 4, 8, 8, 3, 7, 8, 7, 8, 1, 7, 9, 3, 3, 1, 4, 5, 2, 2, 7, 3, 8, 8, 1, 6, 1, 3, 6, 3, 1, 4, 6, 2, 2, 5, 7, 9, 9, 1, 2, 8, 7, 1, 6, 9, 2, 8, 1, 9, 5, 4, 7, 7, 5, 2, 8, 7, 6, 7, 4, 3, 3, 9, 3, 5, 4, 6, 5, 7, 8, 1, 3, 2, 3, 4, 3, 8, 7, 9, 7, 3, 7}
  3. Shuffle(Sequence[Random[1, 3], i, 1, 100]) → randomNosForZ, {1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 3, 1, 3, 3, 2, 2, 1, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 3, 2, 2, 3, 3, 2, 1, 3, 3, 1, 2, 1, 2, 1, 2, 3, 3, 1, 3, 3, 2, 3, 1, 1, 3, 2, 2, 2, 1, 3, 3, 1, 2, 3, 1, 3, 1, 3, 1, 1, 1, 3, 1, 3, 2, 2, 2, 3, 2, 2, 1, 3, 2, 1, 3, 2, 3, 2, 2, 1, 1, 1, 3, 2, 1, 3, 2, 2, 2, 2, 2, 2, 1}
  4. Append(true, Sequence[If[randomNosForZ(i) ≟ randomNosForZ(i - 1), false, true], i, 2, 100]) → stayZ
  5. Remove(Sequence[If[stayZ(i), randomNosForZ(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForZwithoutRepeat
  6. Element(randomNosForZwithoutRepeat, Mod[questionCount, 100] + 1) → numZ
  7. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  8. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  9. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  10. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  11. If(numZ ≟ 1, Element[randomNosForXwithoutRepeat, Mod[questionCount, 100] + 1], If[numZ ≟ 2, Element[randomNosForYwithoutRepeat, Mod[questionCount, 100] + 1], (Element[randomNosForYwithoutRepeat, Mod[questionCount, 100] + 1] * 10)]) → numX
  12. Textfield(input2) → AInputBox1
  13. Textfield(input1) → AInputBox2
  14. Corner(zahlText, 3) → Corner
  15. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  16. Defined((input1 * input2)) → fixed
  17. Segment(Corner + (0.03, -0.275), Corner + (1, -0.275)) → bruchstrich
  18. Denominator(dez) → nenner
  19. Numerator(dez) → zaehler
  20. If(Mod[numX, 10] ≟ 0, numX / 10 ≟ saveZaehler, numX ≟ saveZaehler) → correct1
  21. If(numX < 10, 1000, If[numX ≥ 10 ∧ numX < 100, 100, If[numX ≥ 100, 10]]) → gesuchterNenner