lehrkraefte:blc:miniaufgaben:kw47-2024 [https://fginfo.ksbg.ch Fachgruppe Informatik der KSBG]

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  miniaufgabe.js
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==== 18. November 2024 bis 22. November 2024 ====
=== Dienstag 19. November 2024 ===
Keine Miniaufgabe (Verspätung meinerseits)
=== Donnerstag 21. November 2024 ===



Berechnen Sie (alle Brüche im Resultat vollständig gekürzt angeben):
<JS>miniAufgabe("#exovecmulsumeasy","#solvecmulsumeasy",
[["$-\\frac{2}{3} \\cdot \\begin{pmatrix} -\\frac{36}{35}\\\\ \\frac{39}{40}\\\\ -\\frac{15}{8} \\end{pmatrix} - \\left(-\\frac{7}{8}\\right) \\cdot \\begin{pmatrix} \\frac{24}{35}\\\\ -\\frac{24}{35}\\\\ -\\frac{2}{3} \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{24}{35}\\\\ -\\frac{13}{20}\\\\ \\frac{5}{4} \\end{pmatrix} - \\begin{pmatrix} -\\frac{3}{5}\\\\ \\frac{3}{5}\\\\ \\frac{7}{12} \\end{pmatrix} = \\begin{pmatrix} \\frac{9}{7}\\\\ -\\frac{5}{4}\\\\ \\frac{2}{3} \\end{pmatrix}$"], ["$-\\frac{7}{6} \\cdot \\begin{pmatrix} -\\frac{15}{7}\\\\ -\\frac{11}{28}\\\\ \\frac{53}{35} \\end{pmatrix} - \\left(-\\frac{3}{4}\\right) \\cdot \\begin{pmatrix} -\\frac{10}{9}\\\\ -\\frac{10}{9}\\\\ -\\frac{6}{5} \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{5}{2}\\\\ \\frac{11}{24}\\\\ -\\frac{53}{30} \\end{pmatrix} - \\begin{pmatrix} \\frac{5}{6}\\\\ \\frac{5}{6}\\\\ \\frac{9}{10} \\end{pmatrix} = \\begin{pmatrix} \\frac{5}{3}\\\\ -\\frac{3}{8}\\\\ -\\frac{8}{3} \\end{pmatrix}$"], ["$-\\frac{3}{4} \\cdot \\begin{pmatrix} -\\frac{11}{18}\\\\ -\\frac{12}{35}\\\\ \\frac{5}{18} \\end{pmatrix} - \\frac{5}{6} \\cdot \\begin{pmatrix} -\\frac{9}{20}\\\\ -\\frac{48}{35}\\\\ -1 \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{11}{24}\\\\ \\frac{9}{35}\\\\ -\\frac{5}{24} \\end{pmatrix} - \\begin{pmatrix} -\\frac{3}{8}\\\\ -\\frac{8}{7}\\\\ -\\frac{5}{6} \\end{pmatrix} = \\begin{pmatrix} \\frac{5}{6}\\\\ \\frac{7}{5}\\\\ \\frac{5}{8} \\end{pmatrix}$"], ["$-\\frac{3}{8} \\cdot \\begin{pmatrix} \\frac{22}{27}\\\\ \\frac{28}{3}\\\\ \\frac{7}{5} \\end{pmatrix} - \\frac{2}{3} \\cdot \\begin{pmatrix} \\frac{2}{3}\\\\ -\\frac{5}{4}\\\\ \\frac{9}{10} \\end{pmatrix}$", "$\\begin{pmatrix} -\\frac{11}{36}\\\\ -\\frac{7}{2}\\\\ -\\frac{21}{40} \\end{pmatrix} - \\begin{pmatrix} \\frac{4}{9}\\\\ -\\frac{5}{6}\\\\ \\frac{3}{5} \\end{pmatrix} = \\begin{pmatrix} -\\frac{3}{4}\\\\ -\\frac{8}{3}\\\\ -\\frac{9}{8} \\end{pmatrix}$"], ["$-\\frac{6}{5} \\cdot \\begin{pmatrix} -\\frac{7}{27}\\\\ -\\frac{1}{21}\\\\ -\\frac{47}{24} \\end{pmatrix} - \\frac{5}{4} \\cdot \\begin{pmatrix} -\\frac{32}{45}\\\\ -\\frac{32}{35}\\\\ \\frac{32}{25} \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{14}{45}\\\\ \\frac{2}{35}\\\\ \\frac{47}{20} \\end{pmatrix} - \\begin{pmatrix} -\\frac{8}{9}\\\\ -\\frac{8}{7}\\\\ \\frac{8}{5} \\end{pmatrix} = \\begin{pmatrix} \\frac{6}{5}\\\\ \\frac{6}{5}\\\\ \\frac{3}{4} \\end{pmatrix}$"], ["$\\frac{5}{3} \\cdot \\begin{pmatrix} -\\frac{1}{10}\\\\ -\\frac{4}{5}\\\\ -\\frac{43}{50} \\end{pmatrix} - \\left(-\\frac{7}{4}\\right) \\cdot \\begin{pmatrix} -\\frac{1}{3}\\\\ -\\frac{5}{21}\\\\ \\frac{10}{21} \\end{pmatrix}$", "$\\begin{pmatrix} -\\frac{1}{6}\\\\ -\\frac{4}{3}\\\\ -\\frac{43}{30} \\end{pmatrix} - \\begin{pmatrix} \\frac{7}{12}\\\\ \\frac{5}{12}\\\\ -\\frac{5}{6} \\end{pmatrix} = \\begin{pmatrix} -\\frac{3}{4}\\\\ -\\frac{7}{4}\\\\ -\\frac{3}{5} \\end{pmatrix}$"], ["$\\frac{2}{3} \\cdot \\begin{pmatrix} \\frac{7}{10}\\\\ -\\frac{27}{40}\\\\ -\\frac{18}{35} \\end{pmatrix} - \\left(-\\frac{7}{5}\\right) \\cdot \\begin{pmatrix} -\\frac{9}{7}\\\\ -\\frac{3}{14}\\\\ \\frac{6}{7} \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{7}{15}\\\\ -\\frac{9}{20}\\\\ -\\frac{12}{35} \\end{pmatrix} - \\begin{pmatrix} \\frac{9}{5}\\\\ \\frac{3}{10}\\\\ -\\frac{6}{5} \\end{pmatrix} = \\begin{pmatrix} -\\frac{4}{3}\\\\ -\\frac{3}{4}\\\\ \\frac{6}{7} \\end{pmatrix}$"], ["$-\\frac{7}{4} \\cdot \\begin{pmatrix} -\\frac{39}{49}\\\\ -\\frac{19}{42}\\\\ \\frac{2}{7} \\end{pmatrix} - \\frac{5}{3} \\cdot \\begin{pmatrix} -\\frac{18}{35}\\\\ \\frac{7}{10}\\\\ \\frac{27}{50} \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{39}{28}\\\\ \\frac{19}{24}\\\\ -\\frac{1}{2} \\end{pmatrix} - \\begin{pmatrix} -\\frac{6}{7}\\\\ \\frac{7}{6}\\\\ \\frac{9}{10} \\end{pmatrix} = \\begin{pmatrix} \\frac{9}{4}\\\\ -\\frac{3}{8}\\\\ -\\frac{7}{5} \\end{pmatrix}$"], ["$-\\frac{3}{4} \\cdot \\begin{pmatrix} -\\frac{48}{35}\\\\ -\\frac{7}{15}\\\\ -\\frac{13}{30} \\end{pmatrix} - \\left(-\\frac{5}{3}\\right) \\cdot \\begin{pmatrix} -\\frac{9}{35}\\\\ \\frac{6}{25}\\\\ -\\frac{21}{50} \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{36}{35}\\\\ \\frac{7}{20}\\\\ \\frac{13}{40} \\end{pmatrix} - \\begin{pmatrix} \\frac{3}{7}\\\\ -\\frac{2}{5}\\\\ \\frac{7}{10} \\end{pmatrix} = \\begin{pmatrix} \\frac{3}{5}\\\\ \\frac{3}{4}\\\\ -\\frac{3}{8} \\end{pmatrix}$"], ["$-\\frac{7}{6} \\cdot \\begin{pmatrix} -\\frac{13}{21}\\\\ -\\frac{39}{35}\\\\ \\frac{37}{14} \\end{pmatrix} - \\frac{3}{8} \\cdot \\begin{pmatrix} \\frac{28}{9}\\\\ \\frac{28}{15}\\\\ -\\frac{10}{9} \\end{pmatrix}$", "$\\begin{pmatrix} \\frac{13}{18}\\\\ \\frac{13}{10}\\\\ -\\frac{37}{12} \\end{pmatrix} - \\begin{pmatrix} \\frac{7}{6}\\\\ \\frac{7}{10}\\\\ -\\frac{5}{12} \\end{pmatrix} = \\begin{pmatrix} -\\frac{4}{9}\\\\ \\frac{3}{5}\\\\ -\\frac{8}{3} \\end{pmatrix}$"]],
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