• Bruchrechnen: Erweitern und Kürzen
  • ttry-Katalog
  • 06.10.2020
  • Mathematik
  • 6
Um die Lizenzinformationen zu sehen, klicken Sie bitte den gewünschten Inhalt an.
  • 1
    Erweitere mit 2.
    • 1748=3496\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{17}{48} = \cloze{ \frac{34}{96} }
    • 221=442\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{2}{21} = \cloze{ \frac{4}{42} }
    • 2739=5478\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{27}{39} = \cloze{ \frac{54}{78} }
    • 1341=2682\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{13}{41} = \cloze{ \frac{26}{82} }
    • 254=508\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{25}{4} = \cloze{ \frac{50}{8} }
    • 4240=8480\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{40} = \cloze{ \frac{84}{80} }
    • 538=1076\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{5}{38} = \cloze{ \frac{10}{76} }
    • 299=5818\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{29}{9} = \cloze{ \frac{58}{18} }
    2
    Erweitere mit 5.
    • 215=1075\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{2}{15} = \cloze{ \frac{10}{75} }
    • 411=2055\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{4}{11} = \cloze{ \frac{20}{55} }
    • 87=4035\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{8}{7} = \cloze{ \frac{40}{35} }
    • 1119=5595\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{11}{19} = \cloze{ \frac{55}{95} }
    • 2019=10095\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{20}{19} = \cloze{ \frac{100}{95} }
    • 1817=9085\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{18}{17} = \cloze{ \frac{90}{85} }
    • 1711=8555\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{17}{11} = \cloze{ \frac{85}{55} }
    • 111=555\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{1}{11} = \cloze{ \frac{5}{55} }

    Für das Kürzen von Brüchen kann dieselbe Konfiguration benutzt werden wie in den vorherigen Aufgaben - nur, dass der erweiterte Bruch dieses Mal auf der linken Seite steht.

    3
    Kürze mit 3.
    • 8457=2819\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{84}{57} = \cloze{ \frac{28}{19} }
    • 3081=1027\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{30}{81} = \cloze{ \frac{10}{27} }
    • 5154=1718\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{51}{54} = \cloze{ \frac{17}{18} }
    • 660=220\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{6}{60} = \cloze{ \frac{2}{20} }
    • 1845=615\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{18}{45} = \cloze{ \frac{6}{15} }
    • 8145=2715\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{81}{45} = \cloze{ \frac{27}{15} }
    • 3336=1112\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{33}{36} = \cloze{ \frac{11}{12} }
    • 4257=1419\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{57} = \cloze{ \frac{14}{19} }
    4
    Kürze mit 7.
    • 9835=145\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{98}{35} = \cloze{ \frac{14}{5} }
    • 2870=410\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{28}{70} = \cloze{ \frac{4}{10} }
    • 112105=1615\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{112}{105} = \cloze{ \frac{16}{15} }
    • 7721=113\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{77}{21} = \cloze{ \frac{11}{3} }
    • 4963=79\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{49}{63} = \cloze{ \frac{7}{9} }
    • 4291=613\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{91} = \cloze{ \frac{6}{13} }
    • 4249=67\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{49} = \cloze{ \frac{6}{7} }
    • 7770=1110\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{77}{70} = \cloze{ \frac{11}{10} }
  • 5
    Erweitere mit der in Klammern angegebenen Zahl.
    • 185(4)=7220\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{18}{5} (4) = \cloze{ \frac{72}{20} }
    • 811(4)=3244\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{8}{11} (4) = \cloze{ \frac{32}{44} }
    • 186(3)=5418\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{18}{6} (3) = \cloze{ \frac{54}{18} }
    • 811(3)=2433\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{8}{11} (3) = \cloze{ \frac{24}{33} }
    • 619(2)=1238\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{6}{19} (2) = \cloze{ \frac{12}{38} }
    • 516(7)=35112\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{5}{16} (7) = \cloze{ \frac{35}{112} }
    • 813(5)=4065\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{8}{13} (5) = \cloze{ \frac{40}{65} }
    • 95(4)=3620\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{9}{5} (4) = \cloze{ \frac{36}{20} }
    • 1718(2)=3436\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{17}{18} (2) = \cloze{ \frac{34}{36} }
    • 103(5)=5015\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{10}{3} (5) = \cloze{ \frac{50}{15} }
    • 139(6)=7854\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{13}{9} (6) = \cloze{ \frac{78}{54} }
    • 817(6)=48102\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{8}{17} (6) = \cloze{ \frac{48}{102} }
    6
    Kürze mit der in Klammern angegebenen Zahl.
    • 4872(6)=812\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{48}{72} (6) = \cloze{ \frac{8}{12} }
    • 12102(6)=217\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{12}{102} (6) = \cloze{ \frac{2}{17} }
    • 981(9)=19\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{9}{81} (9) = \cloze{ \frac{1}{9} }
    • 140119(7)=2017\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{140}{119} (7) = \cloze{ \frac{20}{17} }
    • 66102(6)=1117\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{66}{102} (6) = \cloze{ \frac{11}{17} }
    • 7565(5)=1513\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{75}{65} (5) = \cloze{ \frac{15}{13} }
    • 436(2)=218\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{4}{36} (2) = \cloze{ \frac{2}{18} }
    • 4254(6)=79\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{54} (6) = \cloze{ \frac{7}{9} }
    • 1416(2)=78\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{14}{16} (2) = \cloze{ \frac{7}{8} }
    • 2055(5)=411\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{20}{55} (5) = \cloze{ \frac{4}{11} }
    • 4818(6)=83\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{48}{18} (6) = \cloze{ \frac{8}{3} }
    • 4251(3)=1417\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{51} (3) = \cloze{ \frac{14}{17} }

    Hier wird der gewürfelte Bruch (#z1/#n1) vor dem Kürzen noch mit einer zufälligen Zahl (#x) erweitert. So wird sicher gestellt, dass immer gekürzt werden kann.

    7
    Kürze soweit wie möglich.
    • 3042=57\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{30}{42} = \cloze{ \frac{5}{7} }
    • 4836=43\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{48}{36} = \cloze{ \frac{4}{3} }
    • 8872=119\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{88}{72} = \cloze{ \frac{11}{9} }
    • 24112=314\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{24}{112} = \cloze{ \frac{3}{14} }
    • 3020=32\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{30}{20} = \cloze{ \frac{3}{2} }
    • 112104=1413\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{112}{104} = \cloze{ \frac{14}{13} }
    • 10424=133\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{104}{24} = \cloze{ \frac{13}{3} }
    • 2488=311\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{24}{88} = \cloze{ \frac{3}{11} }
    • 1244=311\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{12}{44} = \cloze{ \frac{3}{11} }
    • 6630=115\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{66}{30} = \cloze{ \frac{11}{5} }
    • 4236=76\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{42}{36} = \cloze{ \frac{7}{6} }
    • 48104=613\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{48}{104} = \cloze{ \frac{6}{13} }