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7. ročníkZlomkyPočetní operace

Početní operace se zlomky

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1) Vypočtěte

  1. 12+14=\frac{1}{2} + \frac{1}{4} =
  2. 23−13=\frac{2}{3} - \frac{1}{3} =
  3. 13⋅25=\frac{1}{3} \cdot \frac{2}{5} =
  1. 34:12=\frac{3}{4} : \frac{1}{2} =
  2. (12)2=(\frac{1}{2})^2 =
  3. 15+25=\frac{1}{5} + \frac{2}{5} =
  1. 56−16=\frac{5}{6} - \frac{1}{6} =
  2. 37⋅12=\frac{3}{7} \cdot \frac{1}{2} =
  3. 23:13=\frac{2}{3} : \frac{1}{3} =
  1. (13)2=(\frac{1}{3})^2 =
  2. 18+38=\frac{1}{8} + \frac{3}{8} =
  3. 710−210=\frac{7}{10} - \frac{2}{10} =

2) Vypočtěte

  1. 12+13=\frac{1}{2} + \frac{1}{3} =
  2. 34−12=\frac{3}{4} - \frac{1}{2} =
  3. 14⋅23=\frac{1}{4} \cdot \frac{2}{3} =
  1. 45:25=\frac{4}{5} : \frac{2}{5} =
  2. (23)2=(\frac{2}{3})^2 =
  3. 25+110=\frac{2}{5} + \frac{1}{10} =
  1. 58−14=\frac{5}{8} - \frac{1}{4} =
  2. 29⋅34=\frac{2}{9} \cdot \frac{3}{4} =
  3. 56:13=\frac{5}{6} : \frac{1}{3} =
  1. (34)2=(\frac{3}{4})^2 =
  2. 16+13=\frac{1}{6} + \frac{1}{3} =
  3. 79−13=\frac{7}{9} - \frac{1}{3} =

3) Vypočtěte

  1. 13+25=\frac{1}{3} + \frac{2}{5} =
  2. 56−14=\frac{5}{6} - \frac{1}{4} =
  3. 38⋅23=\frac{3}{8} \cdot \frac{2}{3} =
  1. 78:14=\frac{7}{8} : \frac{1}{4} =
  2. (15)2=(\frac{1}{5})^2 =
  3. 310+12=\frac{3}{10} + \frac{1}{2} =
  1. 712−13=\frac{7}{12} - \frac{1}{3} =
  2. 45⋅16=\frac{4}{5} \cdot \frac{1}{6} =
  3. 35:23=\frac{3}{5} : \frac{2}{3} =
  1. (25)2=(\frac{2}{5})^2 =
  2. 27+13=\frac{2}{7} + \frac{1}{3} =
  3. 89−23=\frac{8}{9} - \frac{2}{3} =

4) Vypočtěte

  1. 12+13+16=\frac{1}{2} + \frac{1}{3} + \frac{1}{6} =
  2. 34−18+12=\frac{3}{4} - \frac{1}{8} + \frac{1}{2} =
  3. 13⋅25⋅12=\frac{1}{3} \cdot \frac{2}{5} \cdot \frac{1}{2} =
  1. 34:12⋅23=\frac{3}{4} : \frac{1}{2} \cdot \frac{2}{3} =
  2. (12⋅13)2=(\frac{1}{2} \cdot \frac{1}{3})^2 =
  3. 25+110−14=\frac{2}{5} + \frac{1}{10} - \frac{1}{4} =
  1. 58−14+12=\frac{5}{8} - \frac{1}{4} + \frac{1}{2} =
  2. 29⋅34:12=\frac{2}{9} \cdot \frac{3}{4} : \frac{1}{2} =
  3. 56:13⋅25=\frac{5}{6} : \frac{1}{3} \cdot \frac{2}{5} =
  1. (34:12)2=(\frac{3}{4} : \frac{1}{2})^2 =
  2. 16+13−19=\frac{1}{6} + \frac{1}{3} - \frac{1}{9} =
  3. 79−13+29=\frac{7}{9} - \frac{1}{3} + \frac{2}{9} =

5) Vypočtěte

  1. 23+14=\frac{2}{3} + \frac{1}{4} =
  2. 78−13=\frac{7}{8} - \frac{1}{3} =
  3. 56⋅310=\frac{5}{6} \cdot \frac{3}{10} =
  1. 89:23=\frac{8}{9} : \frac{2}{3} =
  2. (35)2=(\frac{3}{5})^2 =
  3. 14+38=\frac{1}{4} + \frac{3}{8} =
  1. 910−25=\frac{9}{10} - \frac{2}{5} =
  2. 12⋅47=\frac{1}{2} \cdot \frac{4}{7} =
  3. 45:110=\frac{4}{5} : \frac{1}{10} =
  1. (14)2=(\frac{1}{4})^2 =
  2. 37+12=\frac{3}{7} + \frac{1}{2} =
  3. 56−13=\frac{5}{6} - \frac{1}{3} =

6) Vypočtěte

  1. 15+23=\frac{1}{5} + \frac{2}{3} =
  2. 1112−12=\frac{11}{12} - \frac{1}{2} =
  3. 27⋅78=\frac{2}{7} \cdot \frac{7}{8} =
  1. 67:314=\frac{6}{7} : \frac{3}{14} =
  2. (45)2=(\frac{4}{5})^2 =
  3. 310+25=\frac{3}{10} + \frac{2}{5} =
  1. 79−16=\frac{7}{9} - \frac{1}{6} =
  2. 38⋅49=\frac{3}{8} \cdot \frac{4}{9} =
  3. 59:13=\frac{5}{9} : \frac{1}{3} =
  1. (56)2=(\frac{5}{6})^2 =
  2. 18+23=\frac{1}{8} + \frac{2}{3} =
  3. 45−14=\frac{4}{5} - \frac{1}{4} =

7) Vypočtěte

  1. 12+23−14=\frac{1}{2} + \frac{2}{3} - \frac{1}{4} =
  2. 56−13+12=\frac{5}{6} - \frac{1}{3} + \frac{1}{2} =
  3. 14⋅23:16=\frac{1}{4} \cdot \frac{2}{3} : \frac{1}{6} =
  1. 35:23⋅59=\frac{3}{5} : \frac{2}{3} \cdot \frac{5}{9} =
  2. (13+16)2=(\frac{1}{3} + \frac{1}{6})^2 =
  3. 38−14+58=\frac{3}{8} - \frac{1}{4} + \frac{5}{8} =
  1. 710+15−12=\frac{7}{10} + \frac{1}{5} - \frac{1}{2} =
  2. 27⋅13:221=\frac{2}{7} \cdot \frac{1}{3} : \frac{2}{21} =
  3. 49:23⋅38=\frac{4}{9} : \frac{2}{3} \cdot \frac{3}{8} =
  1. (25−110)2=(\frac{2}{5} - \frac{1}{10})^2 =
  2. 19+23−59=\frac{1}{9} + \frac{2}{3} - \frac{5}{9} =
  3. 1112−14+16=\frac{11}{12} - \frac{1}{4} + \frac{1}{6} =

8) Vypočtěte

  1. 34+16=\frac{3}{4} + \frac{1}{6} =
  2. 1011−12=\frac{10}{11} - \frac{1}{2} =
  3. 49⋅35=\frac{4}{9} \cdot \frac{3}{5} =
  1. 710:15=\frac{7}{10} : \frac{1}{5} =
  2. (27)2=(\frac{2}{7})^2 =
  3. 512+13=\frac{5}{12} + \frac{1}{3} =
  1. 89−14=\frac{8}{9} - \frac{1}{4} =
  2. 58⋅25=\frac{5}{8} \cdot \frac{2}{5} =
  3. 37:614=\frac{3}{7} : \frac{6}{14} =
  1. (18)2=(\frac{1}{8})^2 =
  2. 25+16=\frac{2}{5} + \frac{1}{6} =
  3. 1115−13=\frac{11}{15} - \frac{1}{3} =

9) Vypočtěte

  1. 25+13+115=\frac{2}{5} + \frac{1}{3} + \frac{1}{15} =
  2. 78−14−12=\frac{7}{8} - \frac{1}{4} - \frac{1}{2} =
  3. 23⋅34⋅15=\frac{2}{3} \cdot \frac{3}{4} \cdot \frac{1}{5} =
  1. 56:13:52=\frac{5}{6} : \frac{1}{3} : \frac{5}{2} =
  2. (34−12)2=(\frac{3}{4} - \frac{1}{2})^2 =
  3. 16+29−13=\frac{1}{6} + \frac{2}{9} - \frac{1}{3} =
  1. 910−12+15=\frac{9}{10} - \frac{1}{2} + \frac{1}{5} =
  2. 38⋅29:112=\frac{3}{8} \cdot \frac{2}{9} : \frac{1}{12} =
  3. 712:16⋅27=\frac{7}{12} : \frac{1}{6} \cdot \frac{2}{7} =
  1. (12+14)2=(\frac{1}{2} + \frac{1}{4})^2 =
  2. 47+13−521=\frac{4}{7} + \frac{1}{3} - \frac{5}{21} =
  3. 58−16+124=\frac{5}{8} - \frac{1}{6} + \frac{1}{24} =

10) Vypočtěte

  1. 56+14=\frac{5}{6} + \frac{1}{4} =
  2. 910−23=\frac{9}{10} - \frac{2}{3} =
  3. 13⋅58=\frac{1}{3} \cdot \frac{5}{8} =
  1. 914:37=\frac{9}{14} : \frac{3}{7} =
  2. (58)2=(\frac{5}{8})^2 =
  3. 37+14=\frac{3}{7} + \frac{1}{4} =
  1. 1115−15=\frac{11}{15} - \frac{1}{5} =
  2. 29⋅310=\frac{2}{9} \cdot \frac{3}{10} =
  3. 815:45=\frac{8}{15} : \frac{4}{5} =
  1. (310)2=(\frac{3}{10})^2 =
  2. 16+38=\frac{1}{6} + \frac{3}{8} =
  3. 712−18=\frac{7}{12} - \frac{1}{8} =

11) Vypočtěte

  1. 13+35−115=\frac{1}{3} + \frac{3}{5} - \frac{1}{15} =
  2. 1112−23+14=\frac{11}{12} - \frac{2}{3} + \frac{1}{4} =
  3. 37⋅12:314=\frac{3}{7} \cdot \frac{1}{2} : \frac{3}{14} =
  1. 89:23⋅14=\frac{8}{9} : \frac{2}{3} \cdot \frac{1}{4} =
  2. (23+19)2=(\frac{2}{3} + \frac{1}{9})^2 =
  3. 59−13+718=\frac{5}{9} - \frac{1}{3} + \frac{7}{18} =
  1. 12+310−25=\frac{1}{2} + \frac{3}{10} - \frac{2}{5} =
  2. 45⋅58:12=\frac{4}{5} \cdot \frac{5}{8} : \frac{1}{2} =
  3. 611:322⋅14=\frac{6}{11} : \frac{3}{22} \cdot \frac{1}{4} =
  1. (56−13)2=(\frac{5}{6} - \frac{1}{3})^2 =
  2. 27+14−528=\frac{2}{7} + \frac{1}{4} - \frac{5}{28} =
  3. 1316−14+38=\frac{13}{16} - \frac{1}{4} + \frac{3}{8} =

12) Vypočtěte

  1. 38+16=\frac{3}{8} + \frac{1}{6} =
  2. 1315−25=\frac{13}{15} - \frac{2}{5} =
  3. 512⋅310=\frac{5}{12} \cdot \frac{3}{10} =
  1. 1021:57=\frac{10}{21} : \frac{5}{7} =
  2. (79)2=(\frac{7}{9})^2 =
  3. 15+37=\frac{1}{5} + \frac{3}{7} =
  1. 1720−14=\frac{17}{20} - \frac{1}{4} =
  2. 411⋅2224=\frac{4}{11} \cdot \frac{22}{24} =
  3. 916:38=\frac{9}{16} : \frac{3}{8} =
  1. (415)2=(\frac{4}{15})^2 =
  2. 512+19=\frac{5}{12} + \frac{1}{9} =
  3. 1924−13=\frac{19}{24} - \frac{1}{3} =

13) Vypočtěte

  1. 29+12−518=\frac{2}{9} + \frac{1}{2} - \frac{5}{18} =
  2. 710−15+34=\frac{7}{10} - \frac{1}{5} + \frac{3}{4} =
  3. 16⋅38:116=\frac{1}{6} \cdot \frac{3}{8} : \frac{1}{16} =
  1. 1013:526⋅14=\frac{10}{13} : \frac{5}{26} \cdot \frac{1}{4} =
  2. (14+28)2=(\frac{1}{4} + \frac{2}{8})^2 =
  3. 415−16+310=\frac{4}{15} - \frac{1}{6} + \frac{3}{10} =
  1. 512+13−724=\frac{5}{12} + \frac{1}{3} - \frac{7}{24} =
  2. 59⋅310:16=\frac{5}{9} \cdot \frac{3}{10} : \frac{1}{6} =
  3. 1114:17⋅211=\frac{11}{14} : \frac{1}{7} \cdot \frac{2}{11} =

14) Vypočtěte

  1. 415+16=\frac{4}{15} + \frac{1}{6} =
  2. 1921−27=\frac{19}{21} - \frac{2}{7} =
  3. 716⋅421=\frac{7}{16} \cdot \frac{4}{21} =
  1. 1225:45=\frac{12}{25} : \frac{4}{5} =
  2. (811)2=(\frac{8}{11})^2 =
  3. 29+512=\frac{2}{9} + \frac{5}{12} =
  1. 1415−16=\frac{14}{15} - \frac{1}{6} =
  2. 310⋅512=\frac{3}{10} \cdot \frac{5}{12} =
  3. 1522:311=\frac{15}{22} : \frac{3}{11} =
  1. (712)2=(\frac{7}{12})^2 =
  2. 18+56=\frac{1}{8} + \frac{5}{6} =
  3. 1118−14=\frac{11}{18} - \frac{1}{4} =

15) Vypočtěte

  1. 512+18−16=\frac{5}{12} + \frac{1}{8} - \frac{1}{6} =
  2. 1318−29+512=\frac{13}{18} - \frac{2}{9} + \frac{5}{12} =
  3. 215⋅58:34=\frac{2}{15} \cdot \frac{5}{8} : \frac{3}{4} =
  1. 916:38⋅23=\frac{9}{16} : \frac{3}{8} \cdot \frac{2}{3} =
  2. (12−13)2=(\frac{1}{2} - \frac{1}{3})^2 =
  3. 710+14−35=\frac{7}{10} + \frac{1}{4} - \frac{3}{5} =
  1. 49−16+518=\frac{4}{9} - \frac{1}{6} + \frac{5}{18} =
  2. 57⋅13:1021=\frac{5}{7} \cdot \frac{1}{3} : \frac{10}{21} =
  3. 1115:25⋅411=\frac{11}{15} : \frac{2}{5} \cdot \frac{4}{11} =
  1. (34−16)2=(\frac{3}{4} - \frac{1}{6})^2 =
  2. 13+512−14=\frac{1}{3} + \frac{5}{12} - \frac{1}{4} =
  3. 1924−18+12=\frac{19}{24} - \frac{1}{8} + \frac{1}{2} =
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