积极 AI Logo 积极 AI

化简复分数

化简复分数
几何画板及绘图内容加载中，请稍等……
2015-11-11 04:46
解析几何复数
所属专题 CCSS Support Math II Unit 4
本示例演示如何化简复分数 [math] rac{ rac{3}{4}}{ rac{11}{12}}[/math]。涉及的核心数学概念包括分数的简化和算术运算。通过使用 GeoGebra 命令如 LaTeX、GCD 等，可以清晰地展示分数化简的过程。适合初中及以上学生学习分数运算。

GeoGebra 命令及参数

  1. LaTeX((("\text{" * val2) * "}")) → Equaliservalue2
  2. LaTeX((("\text{" * val3) * "}")) → Equaliservalue3
  3. LaTeX((("\text{" * val4) * "}")) → Equaliservalue4
  4. LaTeX((("\text{" * val1) * "}")) → Equaliservalue1
  5. LaTeX("\text{Simplify the complex fraction}") → QuestionText
  6. LaTeX("\text{\textcolor{#000099}{-}.}") → text3
  7. LaTeX("\text{Rewrite the complex fraction as a division problem.}") → QuestionText_1
  8. LaTeX("\text{Rewrite the division problem as a multiplication problem.}") → QuestionText_2
  9. LaTeX("\text{Find the product.}") → QuestionText_3
  10. LaTeX("\text{Expression from the previous step}") → QuestionText_4
  11. LaTeX((((("\text{=\textcolor{#000099}{\frac{" * value1) * "}{") * value2) * "}}}")) → text4_6
  12. LaTeX((((((((((((("\text{The product of \textcolor{#000099}{\frac{" * val1) * "}{") * val2) * "}} and \textcolor{#000099}{\frac{") * val4) * "}{") * val3) * "}} is \textcolor{#000099}{\frac{") * value1) * "}{") * value2) * "}}.}")) → text4_7
  13. LaTeX("\text{Reduce the fraction to lowest terms.}") → QuestionText_6
  14. LaTeX("\text{Divide the numerator and the denominator by the greatest common factor to reduce the fraction.}") → text4_8
  15. LaTeX("\text{Expression from the previous step}") → QuestionText_7
  16. LaTeX((((("\text{\textcolor{#000099}{\frac{" * value1) * "}{") * value2) * "}}}")) → text4_{10}
  17. LaTeX("\text{Simplify.}") → QuestionText_9
  18. GCD(value1, value2) → value3
  19. LaTeX("\text{The simplified form of the complex fraction}") → text4_{13}
  20. LaTeX("\text{\textcolor{#000099}{-}}") → text3_1
  21. LaTeX((((("\text{is \textcolor{#000099}{\frac{" * value4) * "}{") * value5) * "}}.}")) → text4_{14}
  22. LaTeX((((((((("\text{=\textcolor{#000099}{\frac{" * value1) * "÷") * value3) * "}{") * value2) * "÷") * value3) * "}}}")) → text4_{11}
  23. LaTeX("\text{\mathbf{Complex\; fraction} a fraction in which the numerator or the denominator or both }") → text5
  24. LaTeX((((((((("\text{To write the complex fraction as a division problem,divide the numerator by the denominator,or \textcolor{#000099}{\frac{" * val1) * "}{") * val2) * "}}÷\textcolor{#000099}{\frac{") * val3) * "}{") * val4) * "}}.}")) → text4
  25. LaTeX((((((((((((("\text{To write\textcolor{#000099}{\frac{" * val1) * "}{") * val2) * "}}÷\textcolor{#000099}{\frac{") * val3) * "}{") * val4) * "}} as a multiplication problem,first find the reciprocal of the divisor,\textcolor{#000099}{\frac{") * val3) * "}{") * val4) * "}}.}")) → text4_1
  26. LaTeX((((((((((((("\text{and the reciprocal of \textcolor{#000099}{\frac{" * val3) * "}{") * val4) * "}} is \textcolor{#000099}{\frac{") * val1) * "}{") * val2) * "}}•\textcolor{#000099}{\frac{") * val4) * "}{") * val3) * "}}.}")) → text4_3
  27. LaTeX((((((((("\text{Multiply the numerators of the expression \textcolor{#000099}{\frac{" * val1) * "}{") * val2) * "}}•\textcolor{#000099}{\frac{") * val4) * "}{") * val3) * "}},and then multiply the denominators.}")) → text4_4
  28. LaTeX((((((((("\text{\textcolor{#000099}{\frac{" * val1) * "}{") * val2) * "}}•\textcolor{#000099}{\frac{") * val4) * "}{") * val3) * "}} }")) → text4_5
  29. LaTeX("\text{Multiply the numerators,and then multiply the denominators.}") → QuestionText_5
  30. LaTeX((((((("\text{Both the numerator,\textcolor{#000099}{" * value1) * "},and the denominator,\textcolor{#000099}{") * value2) * "},have a common factor of \textcolor{#000099}{") * value3) * "}.}")) → text4_9
  31. LaTeX("\text{Divide the numerator and the denominator by \textcolor{#000099}4.}") → QuestionText_8
  32. LaTeX((((("\text{=\textcolor{#000099}{\frac{" * value4) * "}{") * value5) * "}}}")) → text4_{12}
  33. LaTeX((((((((((((("\text{The reciprocal of \textcolor{#000099}{\frac{" * val3) * "}{") * val4) * "}} is \textcolor{#000099}{\frac{") * val4) * "}{") * val3) * "}},so the expression that represents the product of the numerator,\textcolor{#000099}{\frac{") * val1) * "}{") * val2) * "}},}")) → text4_2
  34. LaTeX("\mathbf{Numerator's\;Numerator}") → text6
  35. LaTeX("\mathbf{Numerator's\;Denominator}") → text6_1
  36. LaTeX("\mathbf{Denominator's\;Numerator}") → text6_2
  37. LaTeX("\mathbf{Denominator's\;Denominator }") → text6_3
  38. LaTeX("\text{contain one or more fractions.}") → text5_1