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This shows you the differences between two versions of the page.

--- lehrkraefte:blc:miniaufgaben [2021/09/15 20:57]
Ivo Blöchliger [13. September 2021 bis 17. September 2021]
+++ lehrkraefte:blc:miniaufgaben [2021/09/16 17:34]
Ivo Blöchliger [20. September 2021 bis 24. September 2021]
@@ Line 45: / Line 45: @@
 </hidden>
+==== 20. September 2021 bis 24. September 2021 ====
+=== Donnerstag 23. September 2021 ===
+Ausrechnen, Resultat als gekürzter Bruch:<JS>miniAufgabe("#exonumbercrunch2","#solnumbercrunch2",
+[["$\\displaystyle \\frac{\\frac{2}{\\frac{26}{17}}+\\frac{-5}{\\frac{13}{3}}}{\\frac{-\\frac{15}{4}}{-6}+\\frac{-\\frac{7}{2}}{4}}$", "$\\displaystyle \\frac{\\frac{2}{\\frac{26}{17}}+\\frac{-5}{\\frac{13}{3}}}{\\frac{-\\frac{15}{4}}{-6}+\\frac{-\\frac{7}{2}}{4}} = \\frac{2\\cdot\\frac{17}{26}+-5\\cdot\\frac{3}{13}}{-\\frac{15}{4}\\cdot-\\frac{1}{6}+-\\frac{7}{2}\\cdot\\frac{1}{4}}  = \\frac{\\frac{17}{13}-\\frac{15}{13}}{\\frac{5}{8}-\\frac{7}{8}}  = \\frac{\\frac{2}{13}}{-\\frac{1}{4}} = \\frac{2}{13} \\cdot -4 = -\\frac{8}{13}$"], ["$\\displaystyle \\frac{\\frac{-\\frac{10}{3}}{8}+\\frac{-4}{-\\frac{8}{3}}}{\\frac{3}{\\frac{12}{5}}+\\frac{\\frac{7}{2}}{-7}}$", "$\\displaystyle \\frac{\\frac{-\\frac{10}{3}}{8}+\\frac{-4}{-\\frac{8}{3}}}{\\frac{3}{\\frac{12}{5}}+\\frac{\\frac{7}{2}}{-7}} = \\frac{-\\frac{10}{3}\\cdot\\frac{1}{8}+-4\\cdot-\\frac{3}{8}}{3\\cdot\\frac{5}{12}+\\frac{7}{2}\\cdot-\\frac{1}{7}}  = \\frac{-\\frac{5}{12}+\\frac{3}{2}}{\\frac{5}{4}-\\frac{1}{2}}  = \\frac{\\frac{13}{12}}{\\frac{3}{4}} = \\frac{13}{12} \\cdot \\frac{4}{3} = \\frac{13}{9}$"], ["$\\displaystyle \\frac{\\frac{-\\frac{16}{7}}{-2}+\\frac{-9}{\\frac{7}{2}}}{\\frac{-\\frac{13}{2}}{-7}+\\frac{-\\frac{12}{7}}{-8}}$", "$\\displaystyle \\frac{\\frac{-\\frac{16}{7}}{-2}+\\frac{-9}{\\frac{7}{2}}}{\\frac{-\\frac{13}{2}}{-7}+\\frac{-\\frac{12}{7}}{-8}} = \\frac{-\\frac{16}{7}\\cdot-\\frac{1}{2}+-9\\cdot\\frac{2}{7}}{-\\frac{13}{2}\\cdot-\\frac{1}{7}+-\\frac{12}{7}\\cdot-\\frac{1}{8}}  = \\frac{\\frac{8}{7}-\\frac{18}{7}}{\\frac{13}{14}+\\frac{3}{14}}  = \\frac{-\\frac{10}{7}}{\\frac{8}{7}} = -\\frac{10}{7} \\cdot \\frac{7}{8} = -\\frac{5}{4}$"], ["$\\displaystyle \\frac{\\frac{\\frac{13}{2}}{5}+\\frac{-4}{\\frac{20}{9}}}{\\frac{-\\frac{20}{3}}{8}+\\frac{7}{\\frac{14}{3}}}$", "$\\displaystyle \\frac{\\frac{\\frac{13}{2}}{5}+\\frac{-4}{\\frac{20}{9}}}{\\frac{-\\frac{20}{3}}{8}+\\frac{7}{\\frac{14}{3}}} = \\frac{\\frac{13}{2}\\cdot\\frac{1}{5}+-4\\cdot\\frac{9}{20}}{-\\frac{20}{3}\\cdot\\frac{1}{8}+7\\cdot\\frac{3}{14}}  = \\frac{\\frac{13}{10}-\\frac{9}{5}}{-\\frac{5}{6}+\\frac{3}{2}}  = \\frac{-\\frac{1}{2}}{\\frac{2}{3}} = -\\frac{1}{2} \\cdot \\frac{3}{2} = -\\frac{3}{4}$"], ["$\\displaystyle \\frac{\\frac{\\frac{19}{4}}{-4}+\\frac{\\frac{7}{8}}{2}}{\\frac{\\frac{3}{5}}{-4}+\\frac{\\frac{3}{2}}{2}}$", "$\\displaystyle \\frac{\\frac{\\frac{19}{4}}{-4}+\\frac{\\frac{7}{8}}{2}}{\\frac{\\frac{3}{5}}{-4}+\\frac{\\frac{3}{2}}{2}} = \\frac{\\frac{19}{4}\\cdot-\\frac{1}{4}+\\frac{7}{8}\\cdot\\frac{1}{2}}{\\frac{3}{5}\\cdot-\\frac{1}{4}+\\frac{3}{2}\\cdot\\frac{1}{2}}  = \\frac{-\\frac{19}{16}+\\frac{7}{16}}{-\\frac{3}{20}+\\frac{3}{4}}  = \\frac{-\\frac{3}{4}}{\\frac{3}{5}} = -\\frac{3}{4} \\cdot \\frac{5}{3} = -\\frac{5}{4}$"], ["$\\displaystyle \\frac{\\frac{-\\frac{10}{3}}{-4}+\\frac{\\frac{16}{7}}{-3}}{\\frac{4}{\\frac{14}{3}}+\\frac{-\\frac{18}{7}}{4}}$", "$\\displaystyle \\frac{\\frac{-\\frac{10}{3}}{-4}+\\frac{\\frac{16}{7}}{-3}}{\\frac{4}{\\frac{14}{3}}+\\frac{-\\frac{18}{7}}{4}} = \\frac{-\\frac{10}{3}\\cdot-\\frac{1}{4}+\\frac{16}{7}\\cdot-\\frac{1}{3}}{4\\cdot\\frac{3}{14}+-\\frac{18}{7}\\cdot\\frac{1}{4}}  = \\frac{\\frac{5}{6}-\\frac{16}{21}}{\\frac{6}{7}-\\frac{9}{14}}  = \\frac{\\frac{1}{14}}{\\frac{3}{14}} = \\frac{1}{14} \\cdot \\frac{14}{3} = \\frac{1}{3}$"], ["$\\displaystyle \\frac{\\frac{\\frac{13}{2}}{-10}+\\frac{\\frac{7}{4}}{5}}{\\frac{\\frac{7}{6}}{-4}+\\frac{\\frac{15}{4}}{9}}$", "$\\displaystyle \\frac{\\frac{\\frac{13}{2}}{-10}+\\frac{\\frac{7}{4}}{5}}{\\frac{\\frac{7}{6}}{-4}+\\frac{\\frac{15}{4}}{9}} = \\frac{\\frac{13}{2}\\cdot-\\frac{1}{10}+\\frac{7}{4}\\cdot\\frac{1}{5}}{\\frac{7}{6}\\cdot-\\frac{1}{4}+\\frac{15}{4}\\cdot\\frac{1}{9}}  = \\frac{-\\frac{13}{20}+\\frac{7}{20}}{-\\frac{7}{24}+\\frac{5}{12}}  = \\frac{-\\frac{3}{10}}{\\frac{1}{8}} = -\\frac{3}{10} \\cdot 8 = -\\frac{12}{5}$"], ["$\\displaystyle \\frac{\\frac{\\frac{8}{21}}{-2}+\\frac{-\\frac{16}{7}}{-3}}{\\frac{3}{\\frac{7}{3}}+\\frac{-\\frac{15}{7}}{5}}$", "$\\displaystyle \\frac{\\frac{\\frac{8}{21}}{-2}+\\frac{-\\frac{16}{7}}{-3}}{\\frac{3}{\\frac{7}{3}}+\\frac{-\\frac{15}{7}}{5}} = \\frac{\\frac{8}{21}\\cdot-\\frac{1}{2}+-\\frac{16}{7}\\cdot-\\frac{1}{3}}{3\\cdot\\frac{3}{7}+-\\frac{15}{7}\\cdot\\frac{1}{5}}  = \\frac{-\\frac{4}{21}+\\frac{16}{21}}{\\frac{9}{7}-\\frac{3}{7}}  = \\frac{\\frac{4}{7}}{\\frac{6}{7}} = \\frac{4}{7} \\cdot \\frac{7}{6} = \\frac{2}{3}$"], ["$\\displaystyle \\frac{\\frac{\\frac{20}{7}}{-4}+\\frac{-10}{-\\frac{7}{2}}}{\\frac{-2}{-\\frac{7}{8}}+\\frac{-\\frac{15}{7}}{5}}$", "$\\displaystyle \\frac{\\frac{\\frac{20}{7}}{-4}+\\frac{-10}{-\\frac{7}{2}}}{\\frac{-2}{-\\frac{7}{8}}+\\frac{-\\frac{15}{7}}{5}} = \\frac{\\frac{20}{7}\\cdot-\\frac{1}{4}+-10\\cdot-\\frac{2}{7}}{-2\\cdot-\\frac{8}{7}+-\\frac{15}{7}\\cdot\\frac{1}{5}}  = \\frac{-\\frac{5}{7}+\\frac{20}{7}}{\\frac{16}{7}-\\frac{3}{7}}  = \\frac{\\frac{15}{7}}{\\frac{13}{7}} = \\frac{15}{7} \\cdot \\frac{7}{13} = \\frac{15}{13}$"], ["$\\displaystyle \\frac{\\frac{4}{\\frac{11}{5}}+\\frac{-\\frac{21}{11}}{3}}{\\frac{-3}{\\frac{8}{3}}+\\frac{-\\frac{7}{2}}{7}}$", "$\\displaystyle \\frac{\\frac{4}{\\frac{11}{5}}+\\frac{-\\frac{21}{11}}{3}}{\\frac{-3}{\\frac{8}{3}}+\\frac{-\\frac{7}{2}}{7}} = \\frac{4\\cdot\\frac{5}{11}+-\\frac{21}{11}\\cdot\\frac{1}{3}}{-3\\cdot\\frac{3}{8}+-\\frac{7}{2}\\cdot\\frac{1}{7}}  = \\frac{\\frac{20}{11}-\\frac{7}{11}}{-\\frac{9}{8}-\\frac{1}{2}}  = \\frac{\\frac{13}{11}}{-\\frac{13}{8}} = \\frac{13}{11} \\cdot -\\frac{8}{13} = -\\frac{8}{11}$"]],
+" <hr> ", " <hr> ");
+</JS>
+<HTML>
+<div id="exonumbercrunch2"></div>
+</HTML>
+<hidden Lösungen>
+<HTML>
+<div id="solnumbercrunch2"></div>
+</HTML>
+</hidden>
+=== Freitag 24. September 2021 ===
 ==== Aufgaben vom aktuellen Jahr ====
@@ Line 51: / Line 68: @@
   * [[lehrkraefte:blc:miniaufgaben:kw35-2021|KW35, 30. August 2021: Ausklammern]]
   * [[lehrkraefte:blc:miniaufgaben:kw37-2021|KW37, 13. September 2021: Potenzen, Produkte und Quotienten von ganzen Zahlen. Lineare Gleichungen mit Brüchen]]
+  * [[lehrkraefte:blc:miniaufgaben:kw38-2021|KW38, 20. September 2021: ]]