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Improper to Mixed Fractions Converter

Improper to Mixed Fractions Converter
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2017-06-15 15:57
FunctionCoordinate GeometryGeometric ConstructionSlider Animation
This example demonstrates the conversion of improper fractions to mixed numbers, showcasing the dynamic process of fraction decomposition. Core math concepts include basic fraction operations, division (Div), modulus (Mod), and fraction representation. GeoGebra commands used are If, Sequence, Div, Mod, lt, LaTeX; objects include k, A, b, a, r, p1, frs, nmbs, db, p2, p3, secs, c, a1, a2, b2, si, la, d, text2, e1a, e1b, e1c, e2a, e2c, text3, numbers, text1. Suitable for middle school and above learners to understand fraction operations and dynamic geometric constructions.

GeoGebra Commands & Parameters

  1. If(a > 12, 14 / (a + 2), 1) → r
  2. Sequence(A + (((1.2 * r) * (i - (k * Mod[i - 1, b]) - ((k * (b - 1)) * Div[i - 1, b]))), 0), i, 1, a) → p1
  3. Sequence(Rotate[Translate[Element[p1, i], Vector[(0, r / 2)]], 3.141592653589793 / b + (((2 * 3.141592653589793) * k) * Mod[i - 1, b] / b), Element[p1, i]], i, 1, a) → p2
  4. Sequence(Rotate[Translate[Element[p1, i], Vector[(0, r / 2)]], -3.141592653589793 / b + (((2 * 3.141592653589793) * k) * Mod[i - 1, b] / b), Element[p1, i]], i, 1, a) → p3
  5. Sequence(CircleSector[Element[p1, i], Element[p3, i], Element[p2, i]], i, 1, a) → secs
  6. Div(a, b) → c
  7. Mod(a, b) → a1
  8. lt("=") → e1b
  9. If(si, TableText[{{e1a, e1b, e1c}, {e2a, e1b, e2c}}, "rcl"], TableText[{{e1a, e2a}}]) → text3
  10. Sequence(Text[If[Mod[i, b] ≟ 0, rt["" + (i)], bt["" + (i)]], (-0.09, -0.2) + Element[p1, i], true, true], i, 1, a) → numbers
  11. LaTeX(lm[frc["\blue{" + a + "}", "\red{" + b + "}"]]) → text1