95:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000 Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000 . Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Proporción:@0.114122:0.106485:0.218548:0.106485:0.218548:0.086511:0.114122:0.086511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Susana y sus amigos necesitan hacer :@0.114122:0.138532:0.410599:0.138532:0.410599:0.120653:0.114122:0.120653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un pastel. La razón entre la cantidad :@0.114122:0.156637:0.410660:0.156637:0.410660:0.138758:0.114122:0.138758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de harina y azúcar es de 8 a 4. Si se :@0.114122:0.174742:0.410615:0.174742:0.410615:0.156863:0.114122:0.156863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 usan 24 porciones de harina, :@0.114122:0.192847:0.410599:0.192847:0.410599:0.174969:0.114122:0.174969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿cuántas porciones de azúcar se :@0.114122:0.210952:0.410639:0.210952:0.410639:0.193074:0.114122:0.193074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 deben añadir?:@0.114122:0.229058:0.228588:0.229058:0.228588:0.211179:0.114122:0.211179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para conocer cuántas porciones de :@0.114122:0.254284:0.410615:0.254284:0.410615:0.236405:0.114122:0.236405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 azúcar se deben utilizar, se analiza la :@0.114122:0.272389:0.410577:0.272389:0.410577:0.254510:0.114122:0.254510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguiente tabla.:@0.114122:0.290494:0.235722:0.290494:0.235722:0.272616:0.114122:0.272616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para 24 porciones de harina se deben utilizar 12 porciones de azúcar. :@0.114122:0.370036:0.716846:0.370036:0.716846:0.352157:0.114122:0.352157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Analicemos si existe una proporción entre la cantidad de harina y la :@0.114122:0.388141:0.716846:0.388141:0.716846:0.370263:0.114122:0.370263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cantidad de azúcar.:@0.114122:0.406247:0.268410:0.406247:0.268410:0.388368:0.114122:0.388368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.118834:0.430550:0.128644:0.430550:0.128644:0.412671:0.118834:0.412671:0.000000 4:@0.119035:0.451688:0.128845:0.451688:0.128845:0.433809:0.119035:0.433809:0.000000 24:@0.150858:0.430550:0.170297:0.430550:0.170297:0.412671:0.150858:0.412671:0.000000:0.000000 12:@0.150656:0.451688:0.170096:0.451688:0.170096:0.433809:0.150656:0.433809:0.000000:0.000000 =:@0.134539:0.441034:0.145576:0.441034:0.145576:0.424045:0.134539:0.424045:0.000000 o :@0.176112:0.440294:0.314480:0.440294:0.314480:0.422415:0.176112:0.422415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8: 4::24:12:@0.316983:0.437780:0.408250:0.437780:0.408250:0.419901:0.316983:0.419901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.411634:0.440294:0.420067:0.440294:0.420067:0.422415:0.411634:0.422415:0.000000:0.000000 Constante de proporcionalidad:@0.114122:0.478042:0.406970:0.478042:0.406970:0.458069:0.114122:0.458069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.118834:0.505582:0.128644:0.505582:0.128644:0.487703:0.118834:0.487703:0.000000 4:@0.119035:0.526720:0.128845:0.526720:0.128845:0.508841:0.119035:0.508841:0.000000 12 16:@0.149611:0.505582:0.208412:0.505582:0.208412:0.487703:0.149611:0.487703:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.155059:0.526720:0.164869:0.526720:0.164869:0.508841:0.155059:0.508841:0.000000 8:@0.194420:0.526720:0.204231:0.526720:0.204231:0.508841:0.194420:0.508841:0.000000 20:@0.230023:0.505582:0.249462:0.505582:0.249462:0.487703:0.230023:0.487703:0.000000:0.000000 10:@0.229399:0.526720:0.248839:0.526720:0.248839:0.508841:0.229399:0.508841:0.000000:0.000000 24:@0.271073:0.505582:0.290512:0.505582:0.290512:0.487703:0.271073:0.487703:0.000000:0.000000 12:@0.270872:0.526720:0.290311:0.526720:0.290311:0.508841:0.270872:0.508841:0.000000:0.000000 2 k = 2:@0.310962:0.515326:0.384639:0.515326:0.384639:0.497447:0.310962:0.497447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.134539:0.516065:0.106214:0.516065:0.106214:0.499077:0.134539:0.499077:0.000000 =:@0.173901:0.516065:0.145576:0.516065:0.145576:0.499077:0.173901:0.499077:0.000000 =:@0.213704:0.516065:0.183691:0.516065:0.183691:0.499077:0.213704:0.499077:0.000000 =:@0.254755:0.516065:0.224741:0.516065:0.224741:0.499077:0.254755:0.499077:0.000000 =:@0.296207:0.516065:0.307243:0.516065:0.307243:0.499077:0.296207:0.499077:0.000000 Propiedad fundamental de una proporción:@0.114122:0.651686:0.516749:0.651686:0.516749:0.631712:0.114122:0.631712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En toda proporción, el producto de los extremos siempre es igual al :@0.114122:0.676605:0.716885:0.676605:0.716885:0.658726:0.114122:0.658726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 producto de sus medios.:@0.114122:0.694710:0.311589:0.694710:0.311589:0.676832:0.114122:0.676832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.115227:0.724532:0.125037:0.724532:0.125037:0.706653:0.115227:0.706653:0.000000 4:@0.115428:0.745670:0.125238:0.745670:0.125238:0.727791:0.115428:0.727791:0.000000 24:@0.147251:0.724532:0.166691:0.724532:0.166691:0.706653:0.147251:0.706653:0.000000:0.000000 12:@0.147050:0.745670:0.166490:0.745670:0.166490:0.727791:0.147050:0.727791:0.000000:0.000000 =:@0.130933:0.735016:0.141969:0.735016:0.141969:0.718027:0.130933:0.718027:0.000000 extremos: 8 × 12 = 96; medios: 4 × 24 = 96. Entonces: 96 = 96.:@0.172505:0.733024:0.700425:0.733024:0.700425:0.715145:0.172505:0.715145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 = 2. El valor de la razón es igual.:@0.114127:0.770834:0.384179:0.770829:0.384179:0.752950:0.114127:0.752955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuarto desconocido:@0.114122:0.808573:0.302457:0.808573:0.302457:0.788599:0.114122:0.788599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es cualquiera de los términos de una proporción. Se representa con :@0.114122:0.833492:0.716806:0.833492:0.716806:0.815614:0.114122:0.815614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cualquier letra minúscula del alfabeto.:@0.114122:0.851598:0.417629:0.851598:0.417629:0.833719:0.114122:0.833719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.118624:0.875887:0.128736:0.875887:0.128736:0.858039:0.118624:0.858039:0.000000 8:@0.118624:0.897025:0.128434:0.897025:0.128434:0.879146:0.118624:0.879146:0.000000 6:@0.155694:0.875887:0.165504:0.875887:0.165504:0.858009:0.155694:0.858009:0.000000 24:@0.150467:0.897025:0.169907:0.897025:0.169907:0.879146:0.150467:0.879146:0.000000:0.000000 =:@0.134121:0.886371:0.145157:0.886371:0.145157:0.869382:0.134121:0.869382:0.000000 :@0.176115:0.900719:0.206933:0.900719:0.206933:0.882840:0.176115:0.882840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.209855:0.885632:0.219967:0.885632:0.219967:0.867783:0.209855:0.867783:0.000000 68:@0.240532:0.875887:0.276516:0.875887:0.276516:0.858009:0.240532:0.858009:0.000000:0.000000 24:@0.248392:0.897025:0.267831:0.897025:0.267831:0.879146:0.248392:0.879146:0.000000:0.000000 48:@0.298971:0.875887:0.318410:0.875887:0.318410:0.858009:0.298971:0.858009:0.000000:0.000000 24:@0.298348:0.897025:0.317787:0.897025:0.317787:0.879146:0.298348:0.879146:0.000000:0.000000 2 .:@0.338429:0.885632:0.354492:0.886889:0.354492:0.869010:0.338429:0.867753:0.000000:0.000000:0.000000 =:@0.223783:0.886371:0.234819:0.886371:0.234819:0.869382:0.223783:0.869382:0.000000 ×:@0.252992:0.876624:0.264029:0.876624:0.264029:0.859636:0.252992:0.859636:0.000000 =:@0.281785:0.886371:0.292821:0.886371:0.292821:0.869382:0.281785:0.869382:0.000000 =:@0.323659:0.886371:0.334695:0.886371:0.334695:0.869382:0.323659:0.869382:0.000000 Harina:@0.143530:0.319207:0.201266:0.319207:0.201266:0.300770:0.143530:0.300770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.272832:0.319207:0.282642:0.319207:0.282642:0.301329:0.272832:0.301329:0.000000 12:@0.362893:0.319207:0.382513:0.319207:0.382513:0.301329:0.362893:0.301329:0.000000:0.000000 16:@0.457859:0.319207:0.477479:0.319207:0.477479:0.301329:0.457859:0.301329:0.000000:0.000000 20:@0.552825:0.319207:0.572445:0.319207:0.572445:0.301329:0.552825:0.301329:0.000000:0.000000 24:@0.649861:0.319207:0.669482:0.319207:0.669482:0.301329:0.649861:0.301329:0.000000:0.000000 Azúcar:@0.142465:0.340586:0.202271:0.340586:0.202271:0.322149:0.142465:0.322149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.272812:0.340586:0.282622:0.340586:0.282622:0.322708:0.272812:0.322708:0.000000 6:@0.367778:0.340586:0.377588:0.340586:0.377588:0.322708:0.367778:0.322708:0.000000 8:@0.462744:0.340586:0.472554:0.340586:0.472554:0.322708:0.462744:0.322708:0.000000 10:@0.552805:0.340586:0.572425:0.340586:0.572425:0.322708:0.552805:0.322708:0.000000:0.000000 12:@0.649841:0.340586:0.669462:0.340586:0.669462:0.322708:0.649841:0.322708:0.000000:0.000000 A&A Matemática.:@0.726117:0.177394:0.726117:0.125779:0.714206:0.125779:0.714206:0.177394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una proporción es la igualdad entre dos fracciones que tienen igual :@0.124039:0.559598:0.706399:0.559598:0.706399:0.541719:0.124039:0.541719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 razón. :@0.124039:0.577703:0.176407:0.577703:0.176407:0.559825:0.124039:0.559825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.128540:0.598430:0.138652:0.598430:0.138652:0.580581:0.128540:0.580581:0.000000 b:@0.128339:0.619568:0.138451:0.619568:0.138451:0.601719:0.128339:0.601719:0.000000 c:@0.161851:0.598430:0.170214:0.598430:0.170214:0.580581:0.161851:0.580581:0.000000 d:@0.160805:0.619568:0.170917:0.619568:0.170917:0.601719:0.160805:0.601719:0.000000 =:@0.144036:0.608913:0.155073:0.608913:0.155073:0.591925:0.144036:0.591925:0.000000 ó a:b::c:d; entonces y son extremos, y son medios.:@0.177648:0.606922:0.673425:0.606917:0.673425:0.589038:0.177648:0.589043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.369614:0.606917:0.379726:0.606917:0.379726:0.589068:0.369614:0.589068:0.000000 d:@0.401779:0.606917:0.411890:0.606917:0.411890:0.589068:0.401779:0.589068:0.000000 b c:@0.536707:0.606917:0.572832:0.606917:0.572832:0.589068:0.536707:0.589068:0.000000:0.000000:0.000000 extremos:@0.562322:0.425057:0.637285:0.425057:0.637285:0.407178:0.562322:0.407178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 medios:@0.566865:0.466865:0.626410:0.466865:0.626410:0.448986:0.566865:0.448986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8: 4::24:12:@0.558120:0.446312:0.649387:0.446312:0.649387:0.428433:0.558120:0.428433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad:@0.751865:0.589369:0.907417:0.589369:0.907417:0.572468:0.751865:0.572468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática :@0.755005:0.618875:0.848496:0.618875:0.848496:0.602743:0.755005:0.602743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y química:@0.755005:0.633964:0.828425:0.633964:0.828425:0.617832:0.755005:0.617832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los químicos son :@0.755005:0.652618:0.879806:0.652618:0.879806:0.636974:0.755005:0.636974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 profesionales que :@0.755005:0.667708:0.882884:0.667708:0.882884:0.652064:0.755005:0.652064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 manejan la :@0.755005:0.682797:0.835954:0.682797:0.835954:0.667153:0.755005:0.667153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 proporcionalidad para :@0.755005:0.697887:0.914528:0.697887:0.914528:0.682243:0.755005:0.682243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 crear sus compuestos.:@0.755005:0.712976:0.909584:0.712976:0.909584:0.697332:0.755005:0.697332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Has visto alguna vez un :@0.755005:0.887964:0.921265:0.887964:0.921265:0.872347:0.755005:0.872347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 laboratorio de química?, :@0.755005:0.903054:0.919999:0.903054:0.919999:0.887436:0.755005:0.887436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿cómo es?:@0.755005:0.918143:0.822761:0.918143:0.822761:0.902526:0.755005:0.902526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©Shutterstock:@0.942184:0.835397:0.942184:0.792572:0.930273:0.792572:0.930273:0.835397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 No es lo mismo una :@0.755005:0.188581:0.898187:0.188581:0.898187:0.172937:0.755005:0.172937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fracción y una razón.:@0.755005:0.203671:0.898961:0.203671:0.898961:0.188027:0.755005:0.188027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.755005:0.222325:0.770695:0.222325:0.770695:0.206681:0.755005:0.206681:0.000000:0.000000:0.000000 a:@0.775198:0.215632:0.785310:0.215632:0.785310:0.197784:0.775198:0.197784:0.000000 b:@0.774997:0.236770:0.785109:0.236770:0.785109:0.218921:0.774997:0.218921:0.000000 es una fracción, :@0.790798:0.222320:0.907050:0.222320:0.907050:0.206676:0.790798:0.206676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entonces y son :@0.755002:0.256063:0.890058:0.256063:0.890058:0.240419:0.755002:0.240419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.823867:0.256063:0.857007:0.256063:0.857007:0.240446:0.823867:0.240446:0.000000:0.000000:0.000000 números enteros, en :@0.755002:0.271153:0.902741:0.271153:0.902741:0.255509:0.755002:0.255509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 donde ≠ 0; mientras:@0.755002:0.286242:0.909055:0.286242:0.909055:0.270598:0.755002:0.270598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.805310:0.286242:0.814157:0.286242:0.814157:0.270625:0.805310:0.270625:0.000000 que en la razón :@0.755002:0.308461:0.866400:0.308461:0.866400:0.292817:0.755002:0.292817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.868886:0.299205:0.878997:0.299205:0.878997:0.281356:0.868886:0.281356:0.000000 b:@0.868676:0.320344:0.878788:0.320344:0.878788:0.302495:0.868676:0.302495:0.000000 , :@0.886504:0.308450:0.893417:0.308450:0.893417:0.292806:0.886504:0.292806:0.000000:0.000000 a:@0.893417:0.308450:0.902265:0.308450:0.902265:0.292832:0.893417:0.292832:0.000000 y pueden ser números :@0.755001:0.331078:0.928861:0.331078:0.928861:0.315434:0.755001:0.315434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.766593:0.331078:0.775441:0.331078:0.775441:0.315460:0.766593:0.315460:0.000000 decimales.:@0.755001:0.346167:0.828703:0.346167:0.828703:0.330523:0.755001:0.330523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Cuál es la diferencia entre :@0.755001:0.368385:0.933311:0.368385:0.933311:0.352768:0.755001:0.352768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una razón y una fracción?:@0.755001:0.383475:0.926838:0.383475:0.926838:0.367857:0.755001:0.367857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática:@0.775870:0.155511:0.883411:0.155511:0.883411:0.138610:0.775870:0.138610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000