• Rechnen mit Brüchen - Addition und Subtraktion
  • anonym
  • 30.06.2020
  • Mittlere Reife
  • Mathematik
  • 6
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1
Ad­die­re und sub­tra­hie­re die Brü­che. Achte dar­auf, das Er­geb­nis zu kür­zen.
  • 34+64\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{3}{4}+\frac{6}{4}
  • 12+24+48\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{2}+\frac{2}{4}+\frac{4}{8}
  • 730+38\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{7}{30}+\frac{3}{8}
  • 415+13\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{4}{15}+\frac{1}{3}
  • 112+5126\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{12}+\frac{5}{126}
  • 12+16+215\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{2}+\frac{1}{6}+\frac{2}{15}
  • 38+115\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{3}{8}+\frac{1}{15}
  • 712314\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{7}{12}-\frac{3}{14}
  • 1213\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{2}-\frac{1}{3}
  • 91638\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{9}{16}-\frac{3}{8}
  • 2530628\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{25}{30}-\frac{6}{28}
  • 111215\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{11}{12}-\frac{1}{5}
2
Be­rech­ne. Kürze, wenn mög­lich.
  • 234+127\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 2\frac{3}{4}+1\frac{2}{7}
  • 1734+3147\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 17\frac{3}{4}+31\frac{4}{7}
  • 12+23\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{2}+\frac{2}{3}
  • 1416\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{4}-\frac{1}{6}
  • 1214+18110\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{10}
  • 782714\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{7}{8}-\frac{2}{7}-\frac{1}{4}
  • 712314\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 7\frac{1}{2}-3\frac{1}{4}
  • 323+226449\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 3\frac{2}{3}+2\frac{2}{6}-4\frac{4}{9}
  • 925+113456\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 9\frac{2}{5}+1\frac{1}{3}-4\frac{5}{6}
  • 453110\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{4}{5}-3\frac{1}{10}
  • 1116534\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 11\frac{1}{6}-5\frac{3}{4}
  • 956(45181812)623\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 9\frac{5}{6}-(4\frac{5}{18}-1\frac{8}{12})-6\frac{2}{3}
  • 56+3498\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{5}{6}+\frac{3}{4}-\frac{9}{8}
3
Be­rech­ne
  • (45)[((32)+(710))65]\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} -(\frac{4}{5})-[-(-(\frac{3}{2})+(\frac{7}{10}))-\frac{6}{5}]
4
Ein Ku­chen wird an drei Kin­der ver­teilt.

Max er­hält 13\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{1}{3} vom Ku­chen, Franz er­hält 721\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{7}{21} vom Ku­chen, Ju­li­an wünscht sich 39\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{3}{9} vom Ku­chen.
  • Kann der Wunsch von Ju­li­an er­füllt wer­den?
  • Bleibt von dem Ku­chen noch etwas übrig und wenn ja wie viel?
5
Be­rech­ne.
  • 0,9650,83\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}965−0{,}83
  • 0,450,29\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}45−0{,}29
  • 4,9132,911\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 4{,}913−2{,}911
  • 9,33+4\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 9{,}33+4
  • 1,7820,234\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 1{,}782−0{,}234
  • 2,3+3,2\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 2{,}3+3{,}2
  • 1,8180,08\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 1{,}8-\frac{1}{8}-0{,}08
  • 22+7,535+0,093\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 22+7{,}535+0{,}093
  • 630,23\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} \frac{6}{3}-0{,}23
  • 1,0412\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 1{,}04-\frac{1}{2}
  • 0,44+0,234\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}44+0{,}234
  • 34,981,061\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 34{,}98−1{,}061
  • 2,983+0,230\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 2{,}983+0{,}230
  • 0,983+2,78+11,673\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}983+2{,}78+11{,}673
  • 11,6937,777\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 11{,}693−7{,}777
  • 2,0431,921\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 2{,}043−1{,}921
  • 0,00034+0,032\gdef\cloze#1{{\raisebox{-.05em}{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}}}} 0{,}00034+0{,}032
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