59:@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
8.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
Fracción generatriz de un número decimal:@0.096359:0.107742:0.522408:0.107742:0.522408:0.086232:0.096359:0.086232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se presentó el proceso para expresar un número decimal en fracción. Ahora se verá :@0.096359:0.130523:0.710362:0.130523:0.710362:0.114134:0.096359:0.114134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el proceso inverso: cómo encontrar el número fraccionario que corresponde a un :@0.096359:0.147119:0.695176:0.147119:0.695176:0.130730:0.096359:0.130730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número decimal dado.:@0.096359:0.163716:0.262648:0.163716:0.262648:0.147327:0.096359:0.147327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.247223:0.110585:0.247223:0.110585:0.230322:0.096359:0.230322:0.000000:0.000000
  Encontramos la fracción generatriz del decimal exacto: 2,16.:@0.110585:0.247223:0.557848:0.247223:0.557848:0.230834:0.110585:0.230834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dado un decimal finito, podemos considerar en el numerador el número sin la :@0.120444:0.275216:0.717719:0.275216:0.717719:0.258827:0.120444:0.258827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coma decimal y en el denominador una potencia de 10 que tenga tantos ceros :@0.120444:0.291812:0.717647:0.291812:0.717647:0.275423:0.120444:0.275423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como cifras decimales tiene el número.:@0.120444:0.308408:0.407062:0.308408:0.407062:0.292019:0.120444:0.292019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,16  = :@0.275752:0.338074:0.328345:0.338074:0.328345:0.321685:0.275752:0.321685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216:@0.332531:0.328884:0.359104:0.328884:0.359104:0.312495:0.332531:0.312495:0.000000:0.000000:0.000000
100:@0.331955:0.350021:0.358527:0.350021:0.358527:0.333632:0.331955:0.333632:0.000000:0.000000:0.000000
108:@0.379699:0.328884:0.406272:0.328884:0.406272:0.312495:0.379699:0.312495:0.000000:0.000000:0.000000
50:@0.384673:0.350021:0.402455:0.350021:0.402455:0.333632:0.384673:0.333632:0.000000:0.000000
54:@0.428020:0.328884:0.445802:0.328884:0.445802:0.312495:0.428020:0.312495:0.000000:0.000000
25:@0.428596:0.350021:0.446379:0.350021:0.446379:0.333632:0.428596:0.333632:0.000000:0.000000
=:@0.364412:0.339681:0.328288:0.339681:0.328288:0.322693:0.364412:0.322693:0.000000
=:@0.411574:0.339681:0.375449:0.339681:0.375449:0.322693:0.411574:0.322693:0.000000
;  2,16:@0.450635:0.338069:0.491471:0.338746:0.491471:0.322357:0.450635:0.321680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
54:@0.511649:0.328995:0.529432:0.328995:0.529432:0.312607:0.511649:0.312607:0.000000:0.000000
25:@0.512217:0.350139:0.530000:0.350139:0.530000:0.333751:0.512217:0.333751:0.000000:0.000000
=:@0.495203:0.339799:0.506240:0.339799:0.506240:0.322811:0.495203:0.322811:0.000000
2.:@0.096998:0.372485:0.111224:0.372485:0.111224:0.355585:0.096998:0.355585:0.000000:0.000000
  Encontramos la fracción generatriz de los números decimales periódicos puros::@0.111224:0.372485:0.701209:0.372485:0.701209:0.356097:0.111224:0.356097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La fracción que genera una expresión decimal se llama :@0.126041:0.199999:0.531335:0.199999:0.531335:0.183610:0.126041:0.183610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracción generatriz.:@0.531335:0.199999:0.684966:0.199999:0.684966:0.183098:0.531335:0.183098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096354:0.415738:0.115076:0.415738:0.115076:0.398837:0.096354:0.398837:0.000000:0.000000:0.000000
0,7:@0.121231:0.414784:0.144726:0.414784:0.144726:0.398395:0.121231:0.398395:0.000000:0.000000:0.000000
Paso 1.:@0.096359:0.439458:0.161390:0.439458:0.161390:0.422557:0.096359:0.422557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para encontrar  la fracción :@0.161390:0.439458:0.395782:0.439458:0.395782:0.423069:0.161390:0.423069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generatriz cuando  tiene  0 enteros,  se :@0.096359:0.456055:0.395779:0.456055:0.395779:0.439666:0.096359:0.439666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribe el período como numerador.:@0.096359:0.472651:0.364107:0.472651:0.364107:0.456262:0.096359:0.456262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.237292:0.500461:0.246285:0.500461:0.246285:0.484072:0.237292:0.484072:0.000000
Paso 2.:@0.096357:0.541911:0.153879:0.541911:0.153879:0.525010:0.096357:0.525010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En el denominador se colocan :@0.153879:0.541911:0.395742:0.541911:0.395742:0.525522:0.153879:0.525522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tantos 9 como cifras decimales tenga el :@0.096357:0.558507:0.395768:0.558507:0.395768:0.542118:0.096357:0.542118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
período.:@0.096357:0.575103:0.157390:0.575103:0.157390:0.558714:0.096357:0.558714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.116585:0.599731:0.125578:0.599731:0.125578:0.583342:0.116585:0.583342:0.000000
9:@0.116795:0.620870:0.125788:0.620870:0.125788:0.604481:0.116795:0.604481:0.000000
(Una cifra decimal en el período: va un nueve):@0.131035:0.618591:0.375482:0.618591:0.375482:0.606672:0.131035:0.606672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.096359:0.650387:0.154922:0.650387:0.154922:0.633486:0.096359:0.633486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Simplificamos si la fracción es :@0.154922:0.650387:0.395771:0.650387:0.395771:0.633998:0.154922:0.633998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reducible.:@0.096654:0.666983:0.168741:0.666983:0.168741:0.650594:0.096654:0.650594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.096359:0.690702:0.116390:0.690702:0.116390:0.673801:0.096359:0.673801:0.000000:0.000000:0.000000
Transformamos a fracción decimal: :@0.120094:0.690702:0.378337:0.690702:0.378337:0.674313:0.120094:0.674313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 272727…=:@0.177256:0.715984:0.275987:0.715990:0.275987:0.699601:0.177256:0.699595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
327:@0.278037:0.715984:0.309438:0.715984:0.309438:0.699595:0.278037:0.699595:0.000000:0.000000:0.000000
,:@0.185899:0.715990:0.189105:0.715990:0.189105:0.699601:0.185899:0.699601:0.000000
,:@0.286680:0.715990:0.289886:0.715990:0.289886:0.699601:0.286680:0.699601:0.000000
Paso 1.:@0.096359:0.746709:0.151347:0.746709:0.151347:0.729808:0.096359:0.729808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Identificamos el período, en este :@0.151347:0.746709:0.395768:0.746709:0.395768:0.730320:0.151347:0.730320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso 27.:@0.096654:0.763305:0.155143:0.763305:0.155143:0.746916:0.096654:0.746916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.096359:0.794160:0.151753:0.794160:0.151753:0.777260:0.096359:0.777260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Escribimos la fracción generatriz :@0.151753:0.794160:0.395779:0.794160:0.395779:0.777771:0.151753:0.777771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así: parte entera más parte decimal que :@0.096654:0.810757:0.395805:0.810757:0.395805:0.794368:0.096654:0.794368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se repite, cuyo numerador es el número :@0.096654:0.827353:0.395808:0.827353:0.395808:0.810964:0.096654:0.810964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del periodo sobre tantos nueves como :@0.096654:0.843949:0.395768:0.843949:0.395768:0.827561:0.096654:0.827561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cifras tenga el período.:@0.096654:0.860546:0.262997:0.860546:0.262997:0.844157:0.096654:0.844157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3+:@0.102514:0.898158:0.124738:0.898158:0.124738:0.881769:0.102514:0.881769:0.000000:0.000000
27:@0.128055:0.889390:0.145948:0.889390:0.145948:0.873001:0.128055:0.873001:0.000000:0.000000
99:@0.127944:0.909001:0.145837:0.909001:0.145837:0.892612:0.127944:0.892612:0.000000:0.000000
Paso 3.:@0.417129:0.409588:0.476706:0.409588:0.476706:0.392688:0.417129:0.392688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Se suman las fracciones y se :@0.476706:0.409588:0.716541:0.409588:0.716541:0.393200:0.476706:0.393200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplifica si es posible, hasta obtener :@0.417148:0.426185:0.716540:0.426185:0.716540:0.409796:0.417148:0.409796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una fracción irreductible.:@0.417148:0.442781:0.599248:0.442781:0.599248:0.426392:0.417148:0.426392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3273:@0.422243:0.479626:0.478871:0.479626:0.478871:0.463237:0.422243:0.463237:0.000000:0.000000:0.000000:0.000000
27:@0.495438:0.470858:0.513331:0.470858:0.513331:0.454469:0.495438:0.454469:0.000000:0.000000
99:@0.495327:0.490469:0.513221:0.490469:0.513221:0.474080:0.495327:0.474080:0.000000:0.000000
324:@0.532662:0.470858:0.559456:0.470858:0.559456:0.454469:0.532662:0.454469:0.000000:0.000000:0.000000
99:@0.537103:0.490469:0.554996:0.490469:0.554996:0.474080:0.537103:0.474080:0.000000:0.000000
36:@0.578878:0.470858:0.596771:0.470858:0.596771:0.454469:0.578878:0.454469:0.000000:0.000000
11:@0.579873:0.490469:0.597767:0.490469:0.597767:0.474080:0.579873:0.474080:0.000000:0.000000
,:@0.430886:0.479626:0.434092:0.479626:0.434092:0.463237:0.430886:0.463237:0.000000
=+:@0.456850:0.479447:0.492121:0.479447:0.492121:0.463058:0.456850:0.463058:0.000000:0.000000
=:@0.518159:0.479626:0.529142:0.479626:0.529142:0.463237:0.518159:0.463237:0.000000
=:@0.564394:0.479626:0.575377:0.479626:0.575377:0.463237:0.564394:0.463237:0.000000
3.:@0.417134:0.515599:0.431360:0.515599:0.431360:0.498698:0.417134:0.498698:0.000000:0.000000
  Encontramos la fracción generatriz :@0.431360:0.515599:0.716553:0.515599:0.716553:0.499210:0.431360:0.499210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un número periódico mixto.:@0.440869:0.532195:0.669939:0.532195:0.669939:0.515806:0.440869:0.515806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.417134:0.555914:0.434769:0.555914:0.434769:0.539014:0.417134:0.539014:0.000000:0.000000:0.000000
Transformamos  a fracción decimal: :@0.440408:0.555914:0.716555:0.555914:0.716555:0.539525:0.440408:0.539525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
23654:@0.447042:0.575318:0.496299:0.575318:0.496299:0.558929:0.447042:0.558929:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.455684:0.575318:0.458891:0.575318:0.458891:0.558929:0.455684:0.558929:0.000000
Paso 1.:@0.417134:0.603369:0.472122:0.603369:0.472122:0.586468:0.417134:0.586468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Identificamos el período, en este :@0.472122:0.603369:0.716542:0.603369:0.716542:0.586980:0.472122:0.586980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso 54.:@0.417134:0.619965:0.475623:0.619965:0.475623:0.603576:0.417134:0.603576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.417134:0.643684:0.472527:0.643684:0.472527:0.626783:0.417134:0.626783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Escribimos la fracción generatriz :@0.472527:0.643684:0.716553:0.643684:0.716553:0.627295:0.472527:0.627295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así: parte entera más una fracción en el :@0.417134:0.660280:0.716509:0.660280:0.716509:0.643891:0.417134:0.643891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerador parte decimal que no se re-:@0.417134:0.676877:0.712503:0.676877:0.712503:0.660488:0.417134:0.660488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pite hasta el primer periodo, restamos la :@0.417134:0.693473:0.716506:0.693473:0.716506:0.677084:0.417134:0.677084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parte que no se repite, en el denomina-:@0.417134:0.710070:0.712520:0.710070:0.712520:0.693681:0.417134:0.693681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dor tantos nueves como cifras tenga el :@0.417134:0.726666:0.716542:0.726666:0.716542:0.710277:0.417134:0.710277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
período y tantos ceros como la cifra de :@0.417134:0.743262:0.716507:0.743262:0.716507:0.726873:0.417134:0.726873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimales que no se repiten.:@0.417134:0.759859:0.627482:0.759859:0.627482:0.743470:0.417134:0.743470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2+:@0.423289:0.793916:0.445531:0.793916:0.445531:0.777528:0.423289:0.777528:0.000000:0.000000
3654 36:@0.448737:0.785148:0.517564:0.785148:0.517564:0.768759:0.448737:0.768759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9900:@0.465322:0.804759:0.501016:0.804759:0.501016:0.788370:0.465322:0.788370:0.000000:0.000000:0.000000:0.000000
–:@0.487269:0.785148:0.496483:0.785148:0.496483:0.768759:0.487269:0.768759:0.000000
Paso 3.:@0.417134:0.829128:0.476710:0.829128:0.476710:0.812228:0.417134:0.812228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Se suman las fracciones y se :@0.476710:0.829128:0.716546:0.829128:0.716546:0.812739:0.476710:0.812739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplifica si es posible hasta obtener :@0.417429:0.845725:0.716563:0.845725:0.716563:0.829336:0.417429:0.829336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una fracción irreductible.:@0.417429:0.862321:0.599529:0.862321:0.599529:0.845932:0.417429:0.845932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
236542:@0.418744:0.891949:0.481543:0.891949:0.481543:0.878183:0.418744:0.878183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3654 36:@0.495350:0.884584:0.553165:0.884584:0.553165:0.870817:0.495350:0.870817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9900:@0.509282:0.901058:0.539265:0.901058:0.539265:0.887291:0.509282:0.887291:0.000000:0.000000:0.000000:0.000000
2:@0.568258:0.891949:0.575811:0.891949:0.575811:0.878183:0.568258:0.878183:0.000000
3618:@0.589634:0.884584:0.619618:0.884584:0.619618:0.870817:0.589634:0.870817:0.000000:0.000000:0.000000:0.000000
9900:@0.589634:0.901058:0.619618:0.901058:0.619618:0.887291:0.589634:0.887291:0.000000:0.000000:0.000000:0.000000
23418 1301:@0.635933:0.884584:0.718716:0.884584:0.718716:0.870817:0.635933:0.870817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9900:@0.639663:0.901058:0.669646:0.901058:0.669646:0.887291:0.639663:0.887291:0.000000:0.000000:0.000000:0.000000
550:@0.691627:0.901058:0.714134:0.901058:0.714134:0.887291:0.691627:0.887291:0.000000:0.000000:0.000000
,:@0.425973:0.891949:0.428666:0.891949:0.428666:0.878183:0.425973:0.878183:0.000000
=+:@0.462999:0.891949:0.492626:0.891949:0.492626:0.878183:0.462999:0.878183:0.000000:0.000000
–:@0.527686:0.884584:0.535426:0.884584:0.535426:0.870817:0.527686:0.870817:0.000000
=+:@0.557283:0.891949:0.586910:0.891949:0.586910:0.878183:0.557283:0.878183:0.000000:0.000000
=:@0.623734:0.891949:0.632960:0.891949:0.632960:0.878183:0.623734:0.878183:0.000000
=:@0.677509:0.891949:0.686735:0.891949:0.686735:0.878183:0.677509:0.878183:0.000000
©:@0.943841:0.794949:0.943841:0.789842:0.931759:0.789842:0.931759:0.794949:0.000000
Freepik:@0.943841:0.789842:0.943841:0.768191:0.931930:0.768191:0.931930:0.789842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El número 0,9 se aproxima :@0.754586:0.163301:0.933667:0.163301:0.933667:0.148402:0.754586:0.148402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al número 1. En otras :@0.754586:0.178388:0.898236:0.178388:0.898236:0.163489:0.754586:0.163489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
palabras, los símbolos :@0.754586:0.193476:0.901586:0.193476:0.901586:0.178577:0.754586:0.178577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“0,999...” y “1” son dos :@0.754586:0.208564:0.893411:0.208564:0.893411:0.193665:0.754586:0.193665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representaciones distintas :@0.754586:0.223651:0.931860:0.223651:0.931860:0.208752:0.754586:0.208752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del mismo número real.:@0.754586:0.238739:0.912643:0.238739:0.912643:0.223840:0.754586:0.223840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775451:0.130859:0.882992:0.130859:0.882992:0.113958:0.775451:0.113958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Profundiza sobre el tema :@0.755006:0.348685:0.924137:0.348685:0.924137:0.333786:0.755006:0.333786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de fracción generatriz, :@0.755006:0.363772:0.906815:0.363772:0.906815:0.348873:0.755006:0.348873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingresando al siguiente :@0.755006:0.378860:0.913935:0.378860:0.913935:0.363961:0.755006:0.363961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web: :@0.755006:0.393948:0.838465:0.393948:0.838465:0.379049:0.755006:0.379049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/8mt12:@0.755006:0.412593:0.850160:0.412593:0.850160:0.397468:0.755006:0.397468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806778:0.316244:0.857248:0.316244:0.857248:0.299343:0.806778:0.299343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.749781:0.557746:0.906987:0.557746:0.906987:0.540846:0.749781:0.540846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y deporte:@0.754586:0.585828:0.908304:0.585828:0.908304:0.570715:0.754586:0.570715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La forma de expresión :@0.754586:0.600916:0.906126:0.600916:0.906126:0.586017:0.754586:0.586017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal en el deporte :@0.754586:0.616003:0.905103:0.616003:0.905103:0.601104:0.754586:0.601104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es algo muy importante; :@0.754586:0.631091:0.921436:0.631091:0.921436:0.616192:0.754586:0.616192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ejemplo, para :@0.754586:0.646179:0.875972:0.646179:0.875972:0.631280:0.754586:0.631280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar el ganador :@0.754586:0.661266:0.907785:0.661266:0.907785:0.646367:0.754586:0.646367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una competencia :@0.754586:0.676354:0.896544:0.676354:0.896544:0.661455:0.754586:0.661455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es primordial conocer :@0.754586:0.691441:0.903747:0.691441:0.903747:0.676542:0.754586:0.676542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta las décimas :@0.754586:0.706529:0.874399:0.706529:0.874399:0.691630:0.754586:0.691630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de segundo.:@0.754586:0.721617:0.837492:0.721617:0.837492:0.706718:0.754586:0.706718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000