• Bruchrechnen: Erweitern und Kürzen
  • ttry-Katalog
  • 06.10.2020
  • Mathematik
  • 6
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1
Erweitere mit 2.
  • 1748=3496\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{17}{48} = \cloze{ \frac{34}{96} }
  • 221=442\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{2}{21} = \cloze{ \frac{4}{42} }
  • 2739=5478\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{27}{39} = \cloze{ \frac{54}{78} }
  • 1341=2682\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{13}{41} = \cloze{ \frac{26}{82} }
  • 254=508\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{25}{4} = \cloze{ \frac{50}{8} }
  • 4240=8480\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{42}{40} = \cloze{ \frac{84}{80} }
  • 538=1076\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{5}{38} = \cloze{ \frac{10}{76} }
  • 299=5818\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{29}{9} = \cloze{ \frac{58}{18} }
2
Erweitere mit 5.
  • 215=1075\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{2}{15} = \cloze{ \frac{10}{75} }
  • 411=2055\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{4}{11} = \cloze{ \frac{20}{55} }
  • 87=4035\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{8}{7} = \cloze{ \frac{40}{35} }
  • 1119=5595\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{11}{19} = \cloze{ \frac{55}{95} }
  • 2019=10095\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{20}{19} = \cloze{ \frac{100}{95} }
  • 1817=9085\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{18}{17} = \cloze{ \frac{90}{85} }
  • 1711=8555\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{17}{11} = \cloze{ \frac{85}{55} }
  • 111=555\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{84}{57} = \cloze{ \frac{28}{19} }
  • 3081=1027\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{30}{81} = \cloze{ \frac{10}{27} }
  • 5154=1718\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{51}{54} = \cloze{ \frac{17}{18} }
  • 660=220\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{6}{60} = \cloze{ \frac{2}{20} }
  • 1845=615\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{18}{45} = \cloze{ \frac{6}{15} }
  • 8145=2715\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{81}{45} = \cloze{ \frac{27}{15} }
  • 3336=1112\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{33}{36} = \cloze{ \frac{11}{12} }
  • 4257=1419\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{42}{57} = \cloze{ \frac{14}{19} }
4
Kürze mit 7.
  • 9835=145\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{98}{35} = \cloze{ \frac{14}{5} }
  • 2870=410\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{28}{70} = \cloze{ \frac{4}{10} }
  • 112105=1615\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{112}{105} = \cloze{ \frac{16}{15} }
  • 7721=113\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{77}{21} = \cloze{ \frac{11}{3} }
  • 4963=79\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{49}{63} = \cloze{ \frac{7}{9} }
  • 4291=613\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{42}{91} = \cloze{ \frac{6}{13} }
  • 4249=67\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{42}{49} = \cloze{ \frac{6}{7} }
  • 7770=1110\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{77}{70} = \cloze{ \frac{11}{10} }
5
Erweitere mit der in Klammern angegebenen Zahl.
  • 185(4)=7220\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{18}{5} (4) = \cloze{ \frac{72}{20} }
  • 811(4)=3244\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{8}{11} (4) = \cloze{ \frac{32}{44} }
  • 186(3)=5418\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{18}{6} (3) = \cloze{ \frac{54}{18} }
  • 811(3)=2433\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{8}{11} (3) = \cloze{ \frac{24}{33} }
  • 619(2)=1238\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{6}{19} (2) = \cloze{ \frac{12}{38} }
  • 516(7)=35112\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{5}{16} (7) = \cloze{ \frac{35}{112} }
  • 813(5)=4065\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{8}{13} (5) = \cloze{ \frac{40}{65} }
  • 95(4)=3620\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{9}{5} (4) = \cloze{ \frac{36}{20} }
  • 1718(2)=3436\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{17}{18} (2) = \cloze{ \frac{34}{36} }
  • 103(5)=5015\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{10}{3} (5) = \cloze{ \frac{50}{15} }
  • 139(6)=7854\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{13}{9} (6) = \cloze{ \frac{78}{54} }
  • 817(6)=48102\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{48}{72} (6) = \cloze{ \frac{8}{12} }
  • 12102(6)=217\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{12}{102} (6) = \cloze{ \frac{2}{17} }
  • 981(9)=19\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{9}{81} (9) = \cloze{ \frac{1}{9} }
  • 140119(7)=2017\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{140}{119} (7) = \cloze{ \frac{20}{17} }
  • 66102(6)=1117\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{66}{102} (6) = \cloze{ \frac{11}{17} }
  • 7565(5)=1513\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{75}{65} (5) = \cloze{ \frac{15}{13} }
  • 436(2)=218\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{4}{36} (2) = \cloze{ \frac{2}{18} }
  • 4254(6)=79\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{42}{54} (6) = \cloze{ \frac{7}{9} }
  • 1416(2)=78\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{14}{16} (2) = \cloze{ \frac{7}{8} }
  • 2055(5)=411\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{20}{55} (5) = \cloze{ \frac{4}{11} }
  • 4818(6)=83\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{48}{18} (6) = \cloze{ \frac{8}{3} }
  • 4251(3)=1417\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\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{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{30}{42} = \cloze{ \frac{5}{7} }
  • 4836=43\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{48}{36} = \cloze{ \frac{4}{3} }
  • 8872=119\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{88}{72} = \cloze{ \frac{11}{9} }
  • 24112=314\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{24}{112} = \cloze{ \frac{3}{14} }
  • 3020=32\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{30}{20} = \cloze{ \frac{3}{2} }
  • 112104=1413\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{112}{104} = \cloze{ \frac{14}{13} }
  • 10424=133\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{104}{24} = \cloze{ \frac{13}{3} }
  • 2488=311\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{24}{88} = \cloze{ \frac{3}{11} }
  • 1244=311\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{12}{44} = \cloze{ \frac{3}{11} }
  • 6630=115\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{66}{30} = \cloze{ \frac{11}{5} }
  • 4236=76\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{42}{36} = \cloze{ \frac{7}{6} }
  • 48104=613\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{526060}{\large{$\displaystyle #1$}}}}}} \frac{48}{104} = \cloze{ \frac{6}{13} }