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Interactive Fraction Division: Understanding Division via Reciprocal Multiplicat

Interactive Fraction Division: Understanding Division via Reciprocal Multiplicat
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2023-01-24 15:23
In collections Wiederholung: Rechnen mit Dezimalzahlen und Brüchen
① This GeoGebra example is an interactive exercise that demonstrates how to divide fractions by multiplying the dividend by the reciprocal of the divisor. ② The core mathematical concept is fraction division, specifically a/b ÷ c/d = a/b × d/c, emphasizing the key property that dividing by a number is equivalent to multiplying by its reciprocal. ③ Construction highlights: The Shuffle command is us

GeoGebra Commands & Parameters

  1. Shuffle(Sequence[i, i, 1, 9]) → aList, {4, 8, 6, 7, 1, 3, 5, 2, 9}
  2. Shuffle(Sequence[i, i, 2, 12] \ {a}) → cList, {7, 6, 3, 5, 9, 12, 2, 8, 10, 11}
  3. Shuffle(Union[Sequence[i, i, 2, 12] \ {c}, {(2 * c), (3 * c), (4 * c)}]) → bList, {11, 3, 8, 2, 28, 14, 10, 4, 9, 21, 6, 5, 12}
  4. Shuffle(Sequence[i, i, 2, 12] \ {c, a}) → dList, {10, 11, 8, 2, 9, 6, 3, 5, 12}
  5. If(modus ≟ 1, a / (b / c), a / d / (b / c)) → sol
  6. Numerator(sol) → solzaehler
  7. Denominator(sol) → solnenner
  8. Corner(AngabeText1, 3) → EckpunktAngabe1
  9. Textfield(input1) → InputBox1
  10. Textfield(input2) → InputBox2
  11. Textfield(input3) → InputBox3
  12. Textfield(input4) → InputBox4
  13. Polygon(VR1E1, VR1E2, VR1E3, VR1E4) → VR1, vre1, vre2, vre3, vre4
  14. Polygon(VR2E1, VR2E2, VR2E3, VR2E4) → VR2, vr2e1, vr2e2, vr2e3, vr2e4
  15. If(modus ≟ 1, zaehler2, helpproduct) → lastdigitnenner