• Brüche, Dezimalbrüche und Dezimalzahlen
  • ttry-Katalog
  • 06.10.2020
  • Mathematik
  • 5, 6
Um die Lizenzinformationen zu sehen, klicken Sie bitte den gewünschten Inhalt an.
  • 1
    Schreibe die Dezimalbrüche als Kommazahlen.
    • 210=0,2\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{2}{10} = \cloze{0, 2}
    • 87100=0,87\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{87}{100} = \cloze{0{,}87}
    • 36100=0,36\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{36}{100} = \cloze{0{,}36}
    • 810=0,8\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{8}{10} = \cloze{0, 8}
    • 410=0,4\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{4}{10} = \cloze{0, 4}
    • 15100=0,15\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{15}{100} = \cloze{0{,}15}
    • 51100=0,51\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{51}{100} = \cloze{0{,}51}
    • 14100=0,14\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{14}{100} = \cloze{0{,}14}
    • 7100=0,07\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{7}{100} = \cloze{0{,}07}
    2
    Schreibe die Dezimalzahl als Dezimalbruch.
    • 0,07=7100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}07 = \cloze{ \frac{7}{100} }
    • 0,81=81100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}81 = \cloze{ \frac{81}{100} }
    • 0,60=60100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}60 = \cloze{ \frac{60}{100} }
    • 0,4=410\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0, 4 = \cloze{ \frac{4}{10} }
    • 0,6=610\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0, 6 = \cloze{ \frac{6}{10} }
    • 0,58=58100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}58 = \cloze{ \frac{58}{100} }
    • 0,71=71100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}71 = \cloze{ \frac{71}{100} }
    • 0,54=54100\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}54 = \cloze{ \frac{54}{100} }
    • 0,2=210\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0, 2 = \cloze{ \frac{2}{10} }

    Die folgenden beiden Aufgaben sind so konfiguriert, dass im Nenner des gegebenen (bzw. gesuchten) Bruchs stets ein echter Teiler von 100 steht. Die Brüche werden außerdem bereits gekürzt ausgegeben (ausgehend von 50tel oder 20tel).

    3
    Wandle die Brüche zunächst in Hundertstel um, indem du passend erweiterst und schreibe dann als Dezimalzahl.
    • 15=20100=0,20\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{1}{5} = \frac{ \cloze{20} }{100} = \cloze{0{,}20}
    • 2150=42100=0,42\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{21}{50} = \frac{ \cloze{42} }{100} = \cloze{0{,}42}
    • 725=28100=0,28\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{7}{25} = \frac{ \cloze{28} }{100} = \cloze{0{,}28}
    • 12=50100=0,50\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{1}{2} = \frac{ \cloze{50} }{100} = \cloze{0{,}50}
    • 750=14100=0,14\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{7}{50} = \frac{ \cloze{14} }{100} = \cloze{0{,}14}
    • 710=70100=0,70\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{7}{10} = \frac{ \cloze{70} }{100} = \cloze{0{,}70}
    • 720=35100=0,35\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{7}{20} = \frac{ \cloze{35} }{100} = \cloze{0{,}35}
    • 45=80100=0,80\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} \frac{4}{5} = \frac{ \cloze{80} }{100} = \cloze{0{,}80}
  • 4
    Schreibe die Dezimalzahl zuerst als Dezimalbruch und kürze anschließend so weit wie möglich.
    • 0,35=35100=720\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}35 = \frac{ \cloze{35} }{100} = \cloze{ \frac{7}{20} }
    • 0,95=95100=1920\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}95 = \frac{ \cloze{95} }{100} = \cloze{ \frac{19}{20} }
    • 0,14=14100=750\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}14 = \frac{ \cloze{14} }{100} = \cloze{ \frac{7}{50} }
    • 0,55=55100=1120\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}55 = \frac{ \cloze{55} }{100} = \cloze{ \frac{11}{20} }
    • 0,20=20100=15\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}20 = \frac{ \cloze{20} }{100} = \cloze{ \frac{1}{5} }
    • 0,25=25100=14\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}25 = \frac{ \cloze{25} }{100} = \cloze{ \frac{1}{4} }
    • 0,04=4100=125\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}04 = \frac{ \cloze{4} }{100} = \cloze{ \frac{1}{25} }
    • 0,70=70100=710\gdef\cloze#1{\colorbox{none}{\color{transparent}{\large{$\displaystyle #1$}}}} 0{,}70 = \frac{ \cloze{70} }{100} = \cloze{ \frac{7}{10} }