100:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 2:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión decimal de números racionales:@0.305293:0.083059:0.843029:0.083059:0.843029:0.055403:0.305293:0.055403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión decimal:@0.305303:0.210802:0.496120:0.210802:0.496120:0.188992:0.305303:0.188992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa los precios de la frutería. Si Carmen quiere comprar medio kilo de manza-:@0.305303:0.233583:0.903608:0.233583:0.903608:0.217913:0.305303:0.217913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nas, ¿cuánto tiene que pagar? ¿Cómo se expresa en fracción? :@0.305303:0.250179:0.756609:0.250179:0.756609:0.234509:0.305303:0.234509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para saber cuánto dinero tiene que pagar Carmen, se toma la mitad del precio. :@0.305303:0.273898:0.883574:0.273898:0.883574:0.258228:0.305303:0.258228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por un kilo paga $ 2,10. Por   kilo, paga $ 1,05. :@0.305303:0.308944:0.652864:0.308943:0.652864:0.293273:0.305303:0.293274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.511282:0.297941:0.520275:0.297941:0.520275:0.282272:0.511282:0.282272:0.000000
2:@0.510497:0.319080:0.519489:0.319080:0.519489:0.303411:0.510497:0.303411:0.000000
El precio se expresa en fracción como: 1,05 1:@0.305300:0.398729:0.643677:0.398724:0.643677:0.383054:0.305300:0.383059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.652595:0.388974:0.661588:0.388974:0.661588:0.373304:0.652595:0.373304:0.000000
100:@0.642846:0.410119:0.669418:0.410119:0.669418:0.394449:0.642846:0.394449:0.000000:0.000000:0.000000
105:@0.690381:0.388980:0.716953:0.388980:0.716953:0.373310:0.690381:0.373310:0.000000:0.000000:0.000000
100:@0.690014:0.410119:0.716586:0.410119:0.716586:0.394449:0.690014:0.394449:0.000000:0.000000:0.000000
=:@0.674727:0.399778:0.685764:0.399778:0.685764:0.382789:0.674727:0.382789:0.000000
=:@0.621905:0.399402:0.632022:0.399402:0.632022:0.383829:0.621905:0.383829:0.000000
Se lee: “uno con cinco centésimos”.:@0.305300:0.422443:0.560040:0.422443:0.560040:0.406773:0.305300:0.406773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.305303:0.519087:0.374809:0.519087:0.374809:0.503974:0.305303:0.503974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Convertimos:@0.305303:0.539562:0.406987:0.539562:0.406987:0.522661:0.305303:0.522661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los números dados a notación decimal o fraccionaria, según sea el :@0.406987:0.539562:0.907738:0.539562:0.907738:0.523892:0.406987:0.523892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso.:@0.305303:0.556158:0.341440:0.556158:0.341440:0.540489:0.305303:0.540489:0.000000:0.000000:0.000000:0.000000:0.000000
a)  :@0.333792:0.591204:0.366004:0.591204:0.366004:0.574069:0.333792:0.574069:0.000000:0.000000:0.000000:0.000000
=:@0.391787:0.590618:0.401904:0.590618:0.401904:0.575045:0.391787:0.575045:0.000000
4:@0.373784:0.580190:0.382776:0.580190:0.382776:0.564521:0.373784:0.564521:0.000000
10:@0.368647:0.601336:0.386430:0.601336:0.386430:0.585666:0.368647:0.585666:0.000000:0.000000
0,4:@0.405712:0.589941:0.430147:0.589941:0.430147:0.574271:0.405712:0.574271:0.000000:0.000000:0.000000
 :@0.435970:0.591199:0.439693:0.591199:0.439693:0.574064:0.435970:0.574064:0.000000
              b)     :@0.486222:0.591199:0.573606:0.591199:0.573606:0.574064:0.486222:0.574064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.576595:0.590618:0.586712:0.590618:0.586712:0.575045:0.576595:0.575045:0.000000
= −:@0.621300:0.590618:0.645717:0.590618:0.645717:0.575045:0.621300:0.575045:0.000000:0.000000:0.000000
175:@0.589734:0.580190:0.616306:0.580190:0.616306:0.564521:0.589734:0.564521:0.000000:0.000000:0.000000
100:@0.589369:0.601336:0.615941:0.601336:0.615941:0.585666:0.589369:0.585666:0.000000:0.000000:0.000000
1,75:@0.645541:0.589941:0.674528:0.589941:0.674528:0.574271:0.645541:0.574271:0.000000:0.000000:0.000000:0.000000
 :@0.678545:0.591199:0.682267:0.591199:0.682267:0.574064:0.678545:0.574064:0.000000
 :@0.727457:0.591199:0.731180:0.591199:0.731180:0.574064:0.727457:0.574064:0.000000
c)   :@0.787766:0.591199:0.813030:0.591199:0.813030:0.574064:0.787766:0.574064:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.841568:0.591876:0.851684:0.591876:0.851684:0.576303:0.841568:0.576303:0.000000
5,5:@0.815658:0.591198:0.838582:0.591198:0.838582:0.575528:0.815658:0.575528:0.000000:0.000000:0.000000
55:@0.857065:0.581448:0.874848:0.581448:0.874848:0.565778:0.857065:0.565778:0.000000:0.000000
10:@0.856120:0.602593:0.873903:0.602593:0.873903:0.586923:0.856120:0.586923:0.000000:0.000000
Todo número fraccionario, sea fracción decimal o fracción común, puede expresar-:@0.305303:0.623473:0.903649:0.623473:0.903649:0.607803:0.305303:0.607803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se como número decimal, si se divide el numerador para el denominador.:@0.305303:0.640069:0.844365:0.640069:0.844365:0.624400:0.305303:0.624400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.305303:0.665535:0.374809:0.665535:0.374809:0.650422:0.305303:0.650422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresamos:@0.305303:0.686009:0.401330:0.686009:0.401330:0.669108:0.305303:0.669108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 como número decimal: :@0.401330:0.686009:0.580723:0.686009:0.580723:0.670339:0.401330:0.670339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.333792:0.722299:0.353031:0.722299:0.353031:0.705164:0.333792:0.705164:0.000000:0.000000:0.000000
Fracción decimal :@0.362281:0.722299:0.490483:0.722299:0.490483:0.706630:0.362281:0.706630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,17:@0.540168:0.720105:0.573961:0.720105:0.573961:0.703011:0.540168:0.703011:0.000000:0.000000:0.000000:0.000000
17:@0.497921:0.710048:0.515703:0.710048:0.515703:0.694378:0.497921:0.694378:0.000000:0.000000
100:@0.493516:0.731181:0.520089:0.731181:0.520089:0.715511:0.493516:0.715511:0.000000:0.000000:0.000000
=:@0.525405:0.720845:0.536441:0.720845:0.536441:0.703856:0.525405:0.703856:0.000000
 :@0.577598:0.722307:0.581321:0.722307:0.581321:0.705171:0.577598:0.705171:0.000000
      b)   :@0.606843:0.722307:0.657003:0.722307:0.657003:0.705171:0.606843:0.705171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracción común :@0.657003:0.722307:0.779582:0.722307:0.779582:0.706637:0.657003:0.706637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,6:@0.812460:0.720105:0.838292:0.720105:0.838292:0.703011:0.812460:0.703011:0.000000:0.000000:0.000000
2:@0.783772:0.710048:0.792764:0.710048:0.792764:0.694378:0.783772:0.694378:0.000000
3:@0.783974:0.731181:0.792967:0.731181:0.792967:0.715511:0.783974:0.715511:0.000000
:@0.829109:0.709113:0.837351:0.709113:0.837351:0.690842:0.829109:0.690842:0.000000
=:@0.797698:0.720845:0.808735:0.720845:0.808735:0.703856:0.797698:0.703856:0.000000
Por lo tanto, los números decimales pueden ser exactos o periódicos. Los decima-:@0.305303:0.834715:0.903649:0.834715:0.903649:0.819045:0.305303:0.819045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les periódicos pueden ser puros o mixtos. Por ahora solo usaremos los números :@0.305303:0.851311:0.907679:0.851311:0.907679:0.835641:0.305303:0.835641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
periódicos puros, que son aquellos cuyas cifras que se repiten inician luego de la :@0.305303:0.867907:0.907681:0.867907:0.907681:0.852238:0.305303:0.852238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coma decimal.:@0.305303:0.884504:0.412219:0.884504:0.412219:0.868834:0.305303:0.868834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,3 decimal exacto:@0.536128:0.897919:0.672804:0.897919:0.672804:0.882249:0.536128:0.882249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,333… decimal periódico puro se escribe :@0.431643:0.916369:0.745442:0.916369:0.745442:0.900699:0.431643:0.900699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,3:@0.747969:0.916676:0.773801:0.916676:0.773801:0.899582:0.747969:0.899582:0.000000:0.000000:0.000000
:@0.764408:0.905682:0.772650:0.905682:0.772650:0.887411:0.764408:0.887411:0.000000
 :@0.777285:0.916362:0.781321:0.916362:0.781321:0.900692:0.777285:0.900692:0.000000
¿Qué es una fracción decimal?:@0.310515:0.167472:0.532623:0.167472:0.532623:0.151803:0.310515:0.151803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.343720:0.141152:0.521475:0.141152:0.521475:0.124252:0.343720:0.124252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 527254207.:@0.091447:0.290093:0.091447:0.214814:0.080059:0.214814:0.080059:0.290093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, :@0.369219:0.369575:0.369219:0.328741:0.357831:0.328741:0.357831:0.369575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
88871386.:@0.381281:0.369575:0.381281:0.338811:0.369892:0.338811:0.369892:0.369575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock,  :@0.822338:0.369575:0.822338:0.327089:0.810949:0.327089:0.810949:0.369575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
550144801.:@0.834399:0.369575:0.834399:0.335130:0.823011:0.335130:0.823011:0.369575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
17       100:@0.371407:0.738590:0.449577:0.738590:0.449577:0.722920:0.371407:0.722920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.389392:0.738590:0.398385:0.738590:0.398385:0.722920:0.389392:0.722920:0.000000
 :@0.311093:0.762309:0.315129:0.762309:0.315129:0.746639:0.311093:0.746639:0.000000
  7     0,17 :@0.371407:0.762309:0.456819:0.762309:0.456819:0.746639:0.371407:0.746639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
00:@0.388470:0.762309:0.406456:0.762309:0.406456:0.746639:0.388470:0.746639:0.000000:0.000000
decimal exacto:@0.456812:0.762000:0.558129:0.762000:0.558129:0.747755:0.456812:0.747755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.311093:0.786039:0.315129:0.786039:0.315129:0.770370:0.311093:0.770370:0.000000
      :@0.371407:0.786039:0.395620:0.786039:0.395620:0.770370:0.371407:0.770370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.395620:0.786039:0.404613:0.786039:0.404613:0.770370:0.395620:0.770370:0.000000
        residuo cero:@0.311093:0.807940:0.422930:0.807940:0.422930:0.793695:0.311093:0.793695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
             2       3:@0.630457:0.738590:0.734113:0.738590:0.734113:0.722920:0.630457:0.722920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.691913:0.738590:0.700906:0.738590:0.700906:0.722920:0.691913:0.722920:0.000000
               2     0,66... :@0.630457:0.762309:0.768959:0.762309:0.768959:0.746639:0.630457:0.746639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.699985:0.762309:0.708977:0.762309:0.708977:0.746639:0.699985:0.746639:0.000000
decimal periódico:@0.768956:0.762000:0.889555:0.762000:0.889555:0.747755:0.768956:0.747755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.630457:0.786039:0.634493:0.786039:0.634493:0.770370:0.630457:0.770370:0.000000
  2:@0.690771:0.786039:0.707835:0.786039:0.707835:0.770370:0.690771:0.770370:0.000000:0.000000:0.000000
nunca llegará a cero el residuo:@0.630457:0.807940:0.833327:0.807940:0.833327:0.793695:0.630457:0.793695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para expresar fracciones decimales en forma decimal, se escribe el numerador :@0.319826:0.452951:0.891834:0.452951:0.891834:0.437282:0.319826:0.437282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y, a partir de la derecha, se separan con una coma tantas cifras como ceros tiene :@0.316472:0.469548:0.895210:0.469548:0.895210:0.453878:0.316472:0.453878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el denominador.:@0.316472:0.486144:0.436821:0.486144:0.436821:0.470474:0.316472:0.470474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las fracciones decimales :@0.105047:0.450145:0.268668:0.450145:0.268668:0.435900:0.105047:0.435900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se escriben como :@0.105047:0.465233:0.226199:0.465233:0.226199:0.450988:0.105047:0.450988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números decimales. Así::@0.105047:0.480320:0.264545:0.480320:0.264545:0.466075:0.105047:0.466075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerador:@0.152510:0.503130:0.219867:0.503130:0.219867:0.489098:0.152510:0.489098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deno:@0.143280:0.523069:0.173561:0.523069:0.173561:0.509037:0.143280:0.509037:0.000000:0.000000:0.000000:0.000000
ador:@0.200870:0.523069:0.229113:0.523069:0.229113:0.509037:0.200870:0.509037:0.000000:0.000000:0.000000:0.000000
9:@0.112367:0.503130:0.120079:0.503130:0.120079:0.489691:0.112367:0.489691:0.000000
10:@0.108068:0.523069:0.123335:0.523069:0.123335:0.509630:0.108068:0.509630:0.000000:0.000000
min:@0.174888:0.523069:0.199464:0.523069:0.199464:0.509630:0.174888:0.509630:0.000000:0.000000:0.000000
0,9:@0.248283:0.512322:0.268987:0.512322:0.268987:0.498883:0.248283:0.498883:0.000000:0.000000:0.000000
=:@0.235086:0.513258:0.244630:0.513258:0.244630:0.498566:0.235086:0.498566:0.000000
 :@0.272571:0.528939:0.276239:0.528939:0.276239:0.514694:0.272571:0.514694:0.000000
Si dos fracciones son :@0.105047:0.551155:0.247057:0.551155:0.247057:0.536910:0.105047:0.536910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalentes, entonces :@0.105047:0.566243:0.261915:0.566243:0.261915:0.551998:0.105047:0.551998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponde el mismo :@0.105047:0.581331:0.258783:0.581331:0.258783:0.567085:0.105047:0.567085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número decimal.:@0.105047:0.596418:0.217923:0.596418:0.217923:0.582173:0.105047:0.582173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si calculamos el :@0.105047:0.618635:0.214038:0.618635:0.214038:0.604390:0.105047:0.604390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cociente de la fracción :@0.105047:0.633722:0.259052:0.633722:0.259052:0.619477:0.105047:0.619477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
40:@0.109968:0.645922:0.126151:0.645922:0.126151:0.631677:0.109968:0.631677:0.000000:0.000000
33:@0.109968:0.667057:0.126151:0.667057:0.126151:0.652812:0.109968:0.652812:0.000000:0.000000
, obtendremos::@0.131851:0.654307:0.232564:0.654307:0.232564:0.640062:0.131851:0.640062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los residuos se repiten :@0.105047:0.787606:0.260089:0.787606:0.260089:0.773361:0.105047:0.773361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y, por lo tanto, la :@0.105047:0.802694:0.218191:0.802694:0.218191:0.788448:0.105047:0.788448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
división nunca termina; :@0.105047:0.817781:0.264293:0.817781:0.264293:0.803536:0.105047:0.803536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces al grupo de :@0.105047:0.832869:0.251009:0.832869:0.251009:0.818624:0.105047:0.818624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números decimales :@0.105047:0.847956:0.239485:0.847956:0.239485:0.833711:0.105047:0.833711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se repiten los :@0.105047:0.863044:0.226718:0.863044:0.226718:0.848799:0.105047:0.848799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamaremos período, :@0.105047:0.878132:0.245665:0.878132:0.245665:0.863886:0.105047:0.863886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se escribe así: 1,21:@0.105047:0.893219:0.238307:0.894472:0.238307:0.880226:0.105047:0.878974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.225113:0.891100:0.232410:0.891100:0.232410:0.872828:0.225113:0.872828:0.000000
40           33:@0.126989:0.687119:0.200046:0.687119:0.200046:0.672874:0.126989:0.672874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  70         1,2121…:@0.126989:0.706821:0.244239:0.706821:0.244239:0.692575:0.126989:0.692575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    40:@0.126989:0.726523:0.158014:0.726523:0.158014:0.712277:0.126989:0.712277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      70:@0.126989:0.746224:0.165352:0.746224:0.165352:0.731979:0.126989:0.731979:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        40:@0.126989:0.765926:0.172690:0.765926:0.172690:0.751681:0.126989:0.751681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,3:@0.208329:0.897010:0.234161:0.897010:0.234161:0.879916:0.208329:0.879916:0.000000:0.000000:0.000000
:@0.224773:0.886011:0.233015:0.886011:0.233015:0.867740:0.224773:0.867740:0.000000
¿Sabías que?:@0.137618:0.425634:0.239486:0.425634:0.239486:0.408733:0.137618:0.408733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.14:@0.096359:0.940046:0.139502:0.940046:0.139502:0.929291:0.096359:0.929291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Representar y reconocer los números racionales como un número decimal y/o como una fracción.:@0.139502:0.940046:0.602009:0.940046:0.602009:0.930074:0.139502:0.930074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las fracciones que tienen por denominador potencias de 10.:@0.543884:0.166147:0.826693:0.166147:0.826693:0.156175:0.543884:0.156175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000