53:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000 4. :@0.120102:0.397792:0.140547:0.397792:0.140547:0.379099:0.120102:0.379099:0.000000:0.000000:0.000000 En tu cuaderno :@0.153352:0.397792:0.280583:0.397792:0.280583:0.380698:0.153352:0.380698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcula:@0.280583:0.397792:0.338540:0.397792:0.338540:0.379657:0.280583:0.379657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el porcentaje de las siguientes cantidades. :@0.338540:0.397792:0.683501:0.397792:0.683501:0.380698:0.338540:0.380698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. :@0.120102:0.552923:0.140547:0.552923:0.140547:0.534230:0.120102:0.534230:0.000000:0.000000:0.000000 Relaciona:@0.153352:0.552923:0.234347:0.552923:0.234347:0.534788:0.153352:0.534788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las fracciones con los porcentajes.:@0.234347:0.552923:0.508466:0.552923:0.508466:0.535829:0.234347:0.535829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6. :@0.120102:0.724952:0.140547:0.724952:0.140547:0.706259:0.120102:0.706259:0.000000:0.000000:0.000000 Dados dos números, :@0.153352:0.724952:0.321794:0.724952:0.321794:0.707858:0.153352:0.707858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcula:@0.321794:0.724952:0.379751:0.724952:0.379751:0.706817:0.321794:0.706817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el tanto por ciento que representa el uno con respecto al otro.:@0.379751:0.724952:0.880586:0.724952:0.880586:0.707858:0.379751:0.707858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. :@0.120102:0.175974:0.140547:0.175974:0.140547:0.157281:0.120102:0.157281:0.000000:0.000000:0.000000 Calcula:@0.153352:0.175974:0.213822:0.175974:0.213822:0.157839:0.153352:0.157839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el porcentaje de las siguientes cantidades. :@0.213822:0.175974:0.558785:0.175974:0.558785:0.158880:0.213822:0.158880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. :@0.120102:0.101668:0.140547:0.101668:0.140547:0.082974:0.120102:0.082974:0.000000:0.000000:0.000000 En tu cuaderno :@0.153352:0.101668:0.280583:0.101668:0.280583:0.084574:0.153352:0.084574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escribe:@0.280583:0.101668:0.340490:0.101668:0.340490:0.083533:0.280583:0.083533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los porcentajes como fracción, como número decimal y :@0.340490:0.101668:0.794129:0.101668:0.794129:0.084574:0.340490:0.084574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 realiza:@0.794129:0.101668:0.848005:0.101668:0.848005:0.083533:0.794129:0.083533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la :@0.848005:0.101668:0.870199:0.101668:0.870199:0.084574:0.848005:0.084574:0.000000:0.000000:0.000000:0.000000 representación gráfica.:@0.153352:0.119773:0.334919:0.119773:0.334919:0.102679:0.153352:0.102679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.153352:0.144999:0.173777:0.144999:0.173777:0.126562:0.153352:0.126562:0.000000:0.000000:0.000000 72 %; 1 %; 0,5 %; 14 %; 63 %; 75 %; 57 %:@0.186602:0.144999:0.866803:0.144999:0.866803:0.127905:0.186602:0.127905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.264159:0.144999:0.281850:0.144999:0.281850:0.126562:0.264159:0.126562:0.000000:0.000000 c):@0.362804:0.144999:0.377881:0.144999:0.377881:0.126562:0.362804:0.126562:0.000000:0.000000 d):@0.472144:0.144999:0.489874:0.144999:0.489874:0.126562:0.472144:0.126562:0.000000:0.000000 e):@0.580639:0.144999:0.597063:0.144999:0.597063:0.126562:0.580639:0.126562:0.000000:0.000000 f):@0.687827:0.144999:0.702020:0.144999:0.702020:0.126562:0.687827:0.126562:0.000000:0.000000 g):@0.792785:0.144999:0.810354:0.144999:0.810354:0.126562:0.792785:0.126562:0.000000:0.000000 a):@0.149412:0.211988:0.165675:0.211988:0.165675:0.193551:0.149412:0.193551:0.000000:0.000000 :@0.165675:0.211988:0.170078:0.211988:0.170078:0.194894:0.165675:0.194894:0.000000 El 15 % de 1 000:@0.184993:0.214931:0.302782:0.214931:0.302782:0.199261:0.184993:0.199261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.316695:0.214931:0.324158:0.214931:0.324158:0.198569:0.316695:0.198569:0.000000 =:@0.324158:0.214931:0.339177:0.214931:0.339177:0.199261:0.324158:0.199261:0.000000:0.000000 e):@0.510954:0.268479:0.527378:0.268479:0.527378:0.250042:0.510954:0.250042:0.000000:0.000000 :@0.527378:0.268479:0.531781:0.268479:0.531781:0.251385:0.527378:0.251385:0.000000 El 12:@0.549478:0.278286:0.585117:0.277913:0.585117:0.262243:0.549478:0.262616:0.000000:0.000000:0.000000:0.000000:0.000000 1 :@0.586573:0.268979:0.605188:0.268979:0.605188:0.251885:0.586573:0.251885:0.000000:0.000000:0.000000 2:@0.586573:0.287628:0.600785:0.287628:0.600785:0.270533:0.586573:0.270533:0.000000:0.000000 % de 1 500 :@0.606372:0.278286:0.693922:0.278286:0.693922:0.262616:0.606372:0.262616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.703394:0.275520:0.710857:0.275520:0.710857:0.259159:0.703394:0.259159:0.000000 =:@0.710857:0.275520:0.725876:0.275520:0.725876:0.259850:0.710857:0.259850:0.000000:0.000000 c):@0.149387:0.344426:0.164464:0.344426:0.164464:0.325989:0.149387:0.325989:0.000000:0.000000 :@0.164464:0.344426:0.168867:0.344426:0.168867:0.327332:0.164464:0.327332:0.000000 El 40 % de 3 800:@0.184993:0.344660:0.302782:0.344660:0.302782:0.328990:0.184993:0.328990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.316695:0.344660:0.324158:0.344660:0.324158:0.328299:0.316695:0.328299:0.000000 =:@0.324158:0.344660:0.339177:0.344660:0.339177:0.328990:0.324158:0.328990:0.000000:0.000000 a):@0.151938:0.423836:0.168202:0.423836:0.168202:0.405399:0.151938:0.405399:0.000000:0.000000 El 50 % de 11 700 =:@0.168202:0.423836:0.355326:0.424582:0.355326:0.407487:0.168202:0.406742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.149392:0.273449:0.167083:0.273449:0.167083:0.255012:0.149392:0.255012:0.000000:0.000000 :@0.167083:0.273449:0.171485:0.273449:0.171485:0.256355:0.167083:0.256355:0.000000 El 10 % de 2 500:@0.184993:0.275519:0.302782:0.275519:0.302782:0.259849:0.184993:0.259849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.316695:0.275519:0.324158:0.275519:0.324158:0.259157:0.316695:0.259157:0.000000 =:@0.324158:0.275519:0.339177:0.275519:0.339177:0.259849:0.324158:0.259849:0.000000:0.000000 d):@0.510954:0.211663:0.528685:0.211663:0.528685:0.193226:0.510954:0.193226:0.000000:0.000000 :@0.528685:0.211663:0.533087:0.211663:0.533087:0.194569:0.528685:0.194569:0.000000 El 25 % de 780:@0.562515:0.214931:0.668658:0.214931:0.668658:0.199261:0.562515:0.199261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.701901:0.214931:0.709364:0.214931:0.709364:0.198569:0.701901:0.198569:0.000000 =:@0.709364:0.214931:0.724383:0.214931:0.724383:0.199261:0.709364:0.199261:0.000000:0.000000 a):@0.148588:0.763703:0.164851:0.763703:0.164851:0.745266:0.148588:0.745266:0.000000:0.000000 ¿Qué tanto por ciento de 18 es 2?:@0.164851:0.763703:0.455624:0.764048:0.455624:0.746954:0.164851:0.746609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.522126:0.764048:0.530268:0.764048:0.530268:0.746199:0.522126:0.746199:0.000000 =:@0.530268:0.764048:0.546652:0.764048:0.546652:0.746954:0.530268:0.746954:0.000000:0.000000 c):@0.148574:0.858044:0.163652:0.858044:0.163652:0.839607:0.148574:0.839607:0.000000:0.000000 ¿Qué tanto por ciento es 10 de 40?:@0.163652:0.858044:0.465434:0.857445:0.465434:0.840351:0.163652:0.840950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.518568:0.857445:0.526710:0.857445:0.526710:0.839597:0.518568:0.839597:0.000000 =:@0.526710:0.857445:0.543093:0.857445:0.543093:0.840351:0.526710:0.840351:0.000000:0.000000 b):@0.148574:0.809195:0.166265:0.809195:0.166265:0.790758:0.148574:0.790758:0.000000:0.000000 ¿Qué tanto por ciento es 8 de 25?:@0.166265:0.809195:0.455624:0.811113:0.455624:0.794018:0.166265:0.792101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.520940:0.811113:0.529082:0.811113:0.529082:0.793264:0.520940:0.793264:0.000000 =:@0.529082:0.811113:0.545466:0.811113:0.545466:0.794018:0.529082:0.794018:0.000000:0.000000 d):@0.148574:0.905108:0.166305:0.905108:0.166305:0.886671:0.148574:0.886671:0.000000:0.000000 ¿Qué tanto por ciento de 1 060 es 318?:@0.166305:0.905108:0.503670:0.904510:0.503670:0.887416:0.166305:0.888014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.518568:0.904510:0.526710:0.904510:0.526710:0.886661:0.518568:0.886661:0.000000 =:@0.526710:0.904510:0.543093:0.904510:0.543093:0.887416:0.526710:0.887416:0.000000:0.000000 e):@0.568202:0.447883:0.584626:0.447883:0.584626:0.429446:0.568202:0.429446:0.000000:0.000000 :@0.584626:0.447883:0.589029:0.447883:0.589029:0.430789:0.584626:0.430789:0.000000 El 8 % de :@0.600040:0.443531:0.676592:0.443531:0.676592:0.426436:0.600040:0.426436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 :@0.676590:0.433383:0.695205:0.433383:0.695205:0.416289:0.676590:0.416289:0.000000:0.000000:0.000000 4:@0.676590:0.452031:0.690803:0.452031:0.690803:0.434937:0.676590:0.434937:0.000000:0.000000 =:@0.770631:0.442300:0.782613:0.442300:0.782613:0.425205:0.770631:0.425205:0.000000 f):@0.568215:0.500855:0.582408:0.500855:0.582408:0.482418:0.568215:0.482418:0.000000:0.000000 :@0.582408:0.500855:0.586811:0.500855:0.586811:0.483760:0.582408:0.483760:0.000000 El 32 % de 5 680 :@0.600040:0.504920:0.758750:0.504918:0.758750:0.487824:0.600040:0.487825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 :@0.642093:0.492471:0.660709:0.492471:0.660709:0.475377:0.642093:0.475377:0.000000:0.000000:0.000000 4:@0.642093:0.511119:0.656306:0.511119:0.656306:0.494025:0.642093:0.494025:0.000000:0.000000 =:@0.770631:0.501388:0.782613:0.501388:0.782613:0.484293:0.770631:0.484293:0.000000 20 %:@0.280128:0.685806:0.315730:0.685806:0.315730:0.670136:0.280128:0.670136:0.000000:0.000000:0.000000:0.000000 ≈ 33,3 %:@0.151020:0.685806:0.213840:0.685806:0.213840:0.670136:0.151020:0.670136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 50 %:@0.391446:0.685806:0.427048:0.685806:0.427048:0.670136:0.391446:0.670136:0.000000:0.000000:0.000000:0.000000 25 %:@0.502764:0.685806:0.538366:0.685806:0.538366:0.670136:0.502764:0.670136:0.000000:0.000000:0.000000:0.000000 75 %:@0.728234:0.685806:0.763836:0.685806:0.763836:0.670136:0.728234:0.670136:0.000000:0.000000:0.000000:0.000000 30 %:@0.840872:0.685806:0.876475:0.685806:0.876475:0.670136:0.840872:0.670136:0.000000:0.000000:0.000000:0.000000 40 %:@0.614542:0.685806:0.650145:0.685806:0.650145:0.670136:0.614542:0.670136:0.000000:0.000000:0.000000:0.000000 1 :@0.168466:0.585052:0.187082:0.585052:0.187082:0.567958:0.168466:0.567958:0.000000:0.000000:0.000000 2:@0.168466:0.603701:0.182679:0.603701:0.182679:0.586606:0.168466:0.586606:0.000000:0.000000 2 :@0.844908:0.585052:0.863523:0.585052:0.863523:0.567958:0.844908:0.567958:0.000000:0.000000:0.000000 5:@0.844908:0.603701:0.859121:0.603701:0.859121:0.586606:0.844908:0.586606:0.000000:0.000000 3 :@0.731216:0.585052:0.749831:0.585052:0.749831:0.567958:0.731216:0.567958:0.000000:0.000000:0.000000 10:@0.731216:0.603701:0.750837:0.603701:0.750837:0.586606:0.731216:0.586606:0.000000:0.000000 3 :@0.617049:0.585052:0.635664:0.585052:0.635664:0.567958:0.617049:0.567958:0.000000:0.000000:0.000000 4:@0.617049:0.603701:0.631261:0.603701:0.631261:0.586606:0.617049:0.586606:0.000000:0.000000 1 :@0.505032:0.585052:0.523647:0.585052:0.523647:0.567958:0.505032:0.567958:0.000000:0.000000:0.000000 5:@0.505032:0.603701:0.519245:0.603701:0.519245:0.586606:0.505032:0.586606:0.000000:0.000000 1 :@0.391576:0.585052:0.410192:0.585052:0.410192:0.567958:0.391576:0.567958:0.000000:0.000000:0.000000 4:@0.391576:0.603701:0.405789:0.603701:0.405789:0.586606:0.391576:0.586606:0.000000:0.000000 1 :@0.278779:0.585052:0.297394:0.585052:0.297394:0.567958:0.278779:0.567958:0.000000:0.000000:0.000000 3:@0.278779:0.603701:0.292992:0.603701:0.292992:0.586606:0.278779:0.586606:0.000000:0.000000 :@0.482461:0.343017:0.486623:0.343017:0.486623:0.324580:0.482461:0.324580:0.000000 :@0.510947:0.343017:0.515350:0.343017:0.515350:0.325923:0.510947:0.325923:0.000000 x:@0.701898:0.361204:0.709361:0.361204:0.709361:0.344842:0.701898:0.344842:0.000000 =:@0.709361:0.361204:0.724380:0.361204:0.724380:0.345534:0.709361:0.345534:0.000000:0.000000 El 80 % de :@0.549501:0.361121:0.632702:0.361121:0.632702:0.345451:0.549501:0.345451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 :@0.632695:0.352570:0.651311:0.352570:0.651311:0.335476:0.632695:0.335476:0.000000:0.000000:0.000000 80:@0.632695:0.371218:0.652316:0.371218:0.652316:0.354124:0.632695:0.354124:0.000000:0.000000 f):@0.518169:0.361125:0.532362:0.361125:0.532362:0.342687:0.518169:0.342687:0.000000:0.000000