34:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Conjuntos numéricos:@0.073089:0.043661:0.262309:0.043661:0.262309:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 4:@0.293660:0.136836:0.369443:0.136836:0.369443:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresamos como número decimal: :@0.293660:0.164198:0.558380:0.164198:0.558380:0.147764:0.293660:0.147764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Fracción decimal :@0.293660:0.192112:0.450735:0.192112:0.450735:0.175679:0.293660:0.175679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
17:@0.459218:0.185848:0.477110:0.185848:0.477110:0.169414:0.459218:0.169414:0.000000:0.000000
100:@0.454764:0.201616:0.481565:0.201616:0.481565:0.185182:0.454764:0.185182:0.000000:0.000000:0.000000
 :@0.485698:0.188015:0.489363:0.188015:0.489363:0.173075:0.485698:0.173075:0.000000
5:@0.487716:0.191558:0.503049:0.191558:0.503049:0.177842:0.487716:0.177842:0.000000
 0,17:@0.502957:0.192112:0.535115:0.192112:0.535115:0.175679:0.502957:0.175679:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Fracción común :@0.610285:0.192112:0.761895:0.192112:0.761895:0.175679:0.610285:0.175679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.767844:0.185848:0.776827:0.185848:0.776827:0.169414:0.767844:0.169414:0.000000
3:@0.767844:0.201616:0.776827:0.201616:0.776827:0.185182:0.767844:0.185182:0.000000
 :@0.782875:0.188015:0.786539:0.188015:0.786539:0.173075:0.782875:0.173075:0.000000
5:@0.784895:0.191558:0.800228:0.191558:0.800228:0.177842:0.784895:0.177842:0.000000
 0,6 :@0.800136:0.192112:0.827413:0.192112:0.827413:0.175679:0.800136:0.175679:0.000000:0.000000:0.000000:0.000000:0.000000
17    100:@0.353907:0.226730:0.429681:0.226730:0.429681:0.210296:0.353907:0.210296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.371705:0.226730:0.380688:0.226730:0.380688:0.210296:0.371705:0.210296:0.000000
 :@0.293660:0.254093:0.297691:0.254093:0.297691:0.237659:0.293660:0.237659:0.000000
 7    0,17 decimal exacto:@0.353907:0.254093:0.548980:0.254093:0.548980:0.237659:0.353907:0.237659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
00:@0.366320:0.254093:0.384194:0.254093:0.384194:0.237659:0.366320:0.237659:0.000000:0.000000
0:@0.357853:0.281456:0.366836:0.281456:0.366836:0.265022:0.357853:0.265022:0.000000
Residuo cero:@0.293667:0.298098:0.387640:0.298098:0.387640:0.281664:0.293667:0.281664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.548828:0.309591:0.552859:0.309591:0.552859:0.293157:0.548828:0.293157:0.000000
 2   :@0.594870:0.227503:0.624613:0.227503:0.624613:0.211069:0.594870:0.211069:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.607718:0.227503:0.616701:0.227503:0.616701:0.211069:0.607718:0.211069:0.000000
 3:@0.658905:0.227503:0.671846:0.227503:0.671846:0.211069:0.658905:0.211069:0.000000:0.000000
  :@0.594870:0.254866:0.602858:0.254866:0.602858:0.238432:0.594870:0.238432:0.000000:0.000000
 2    0,66... decimal periódico:@0.641716:0.254866:0.863124:0.254866:0.863124:0.238432:0.641716:0.238432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.654576:0.254866:0.663559:0.254866:0.663559:0.238432:0.654576:0.238432:0.000000
 :@0.594870:0.282229:0.598901:0.282229:0.598901:0.265795:0.594870:0.265795:0.000000
 2:@0.655117:0.282229:0.668057:0.282229:0.668057:0.265795:0.655117:0.265795:0.000000:0.000000
Nunca llegará a cero el residuo:@0.594870:0.309591:0.817436:0.309591:0.817436:0.293157:0.594870:0.293157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por lo tanto, los números decimales pueden ser exactos o periódicos. Los decimales :@0.293660:0.336954:0.931026:0.336954:0.931026:0.320520:0.293660:0.320520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
periódicos pueden ser puros o mixtos. Por ahora solo usaremos los números periódicos :@0.293660:0.353596:0.931392:0.353596:0.931392:0.337162:0.293660:0.337162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puros, que son aquellos cuyas cifras que se repiten inician luego de la coma decimal.:@0.293660:0.370238:0.905464:0.370238:0.905464:0.353804:0.293660:0.353804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,3 decimal exacto:@0.542710:0.394022:0.677970:0.394022:0.677970:0.377588:0.542710:0.377588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,333… decimal periódico puro se escribe 0,3:@0.444710:0.417806:0.776149:0.417806:0.776149:0.401372:0.444710:0.401372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracción generatriz de un número decimal:@0.293660:0.445168:0.614175:0.445168:0.614175:0.428498:0.293660:0.428498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se presentó el proceso para expresar una fracción en forma decimal. Ahora se verá el :@0.293660:0.472530:0.930796:0.472530:0.930796:0.456096:0.293660:0.456096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proceso inverso: cómo encontrar el número fraccionario que corresponde a un número :@0.293660:0.489172:0.931435:0.489172:0.931435:0.472738:0.293660:0.472738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal dado.:@0.293660:0.505813:0.396181:0.505813:0.396181:0.489380:0.293660:0.489380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La fracción que genera una expresión decimal se llama:@0.340902:0.543962:0.731785:0.543962:0.731785:0.527528:0.340902:0.527528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 fracción generatriz.:@0.731982:0.543962:0.879702:0.543962:0.879702:0.527293:0.731982:0.527293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5:@0.293668:0.585567:0.369451:0.585567:0.369451:0.568897:0.293668:0.568897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos la fracción generatriz del decimal exacto: 2,16.:@0.293668:0.612929:0.726567:0.612929:0.726567:0.596495:0.293668:0.596495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.293668:0.640291:0.359802:0.640291:0.359802:0.623621:0.293668:0.623621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.293668:0.667653:0.347537:0.667653:0.347537:0.650983:0.293668:0.650983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para encontrar la fracción generatriz, escribimos como numerador el número :@0.347583:0.667653:0.931327:0.667653:0.931327:0.651219:0.347583:0.651219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal sin coma.:@0.293668:0.684295:0.424102:0.684295:0.424102:0.667861:0.293668:0.667861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216:@0.596910:0.711657:0.623711:0.711657:0.623711:0.695223:0.596910:0.695223:0.000000:0.000000:0.000000
Paso 2.:@0.293668:0.739018:0.347259:0.739018:0.347259:0.722349:0.293668:0.722349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En el denominador, escribimos la unidad seguida de tantos ceros como cifras :@0.347326:0.739018:0.930992:0.739018:0.930992:0.722585:0.347326:0.722585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimales tenga el número.:@0.293668:0.755660:0.495134:0.755660:0.495134:0.739226:0.293668:0.739226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(Dos cifras decimales, dos ceros en el denominador) :@0.293668:0.790719:0.673535:0.790719:0.673535:0.774285:0.293668:0.774285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216:@0.677329:0.784461:0.704130:0.784461:0.704130:0.768027:0.677329:0.768027:0.000000:0.000000:0.000000
100:@0.677329:0.800229:0.704130:0.800229:0.704130:0.783795:0.677329:0.783795:0.000000:0.000000:0.000000
 :@0.708327:0.790729:0.712358:0.790729:0.712358:0.774295:0.708327:0.774295:0.000000
Paso 3. :@0.293648:0.825233:0.349768:0.825233:0.349768:0.808564:0.293648:0.808564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego se simplifica hasta encontrar la fracción irreducible.:@0.349662:0.825233:0.767589:0.825233:0.767589:0.808799:0.349662:0.808799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
126:@0.545011:0.854031:0.571812:0.854031:0.571812:0.837597:0.545011:0.837597:0.000000:0.000000:0.000000
100:@0.545011:0.869799:0.571812:0.869799:0.571812:0.853366:0.545011:0.853366:0.000000:0.000000:0.000000
   :@0.575942:0.858880:0.597060:0.858880:0.597060:0.843940:0.575942:0.843940:0.000000:0.000000:0.000000
5:@0.579540:0.858376:0.593479:0.858376:0.593479:0.845907:0.579540:0.845907:0.000000
108:@0.601198:0.854031:0.627999:0.854031:0.627999:0.837597:0.601198:0.837597:0.000000:0.000000:0.000000
50:@0.605653:0.869799:0.623545:0.869799:0.623545:0.853366:0.605653:0.853366:0.000000:0.000000
   :@0.632129:0.858880:0.653247:0.858880:0.653247:0.843940:0.632129:0.843940:0.000000:0.000000:0.000000
5:@0.635727:0.858376:0.649666:0.858376:0.649666:0.845907:0.635727:0.845907:0.000000
54:@0.657530:0.854031:0.675422:0.854031:0.675422:0.837597:0.657530:0.837597:0.000000:0.000000
25:@0.657530:0.869799:0.675422:0.869799:0.675422:0.853366:0.657530:0.853366:0.000000:0.000000
 :@0.679777:0.858880:0.683442:0.858880:0.683442:0.843940:0.679777:0.843940:0.000000
216   :@0.574321:0.900195:0.619703:0.900195:0.619703:0.885255:0.574321:0.885255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.602182:0.899690:0.616122:0.899690:0.616122:0.887222:0.602182:0.887222:0.000000
54:@0.624002:0.895347:0.641894:0.895347:0.641894:0.878913:0.624002:0.878913:0.000000:0.000000
25:@0.624002:0.911115:0.641894:0.911115:0.641894:0.894681:0.624002:0.894681:0.000000:0.000000
 :@0.646249:0.900195:0.649914:0.900195:0.649914:0.885255:0.646249:0.885255:0.000000
El número 0,9 se :@0.084610:0.190946:0.196480:0.190946:0.196480:0.176006:0.084610:0.176006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aproxima al número 1. :@0.084610:0.206075:0.235799:0.206075:0.235799:0.191135:0.084610:0.191135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En otras palabras, los :@0.084610:0.221204:0.224884:0.221204:0.224884:0.206264:0.084610:0.206264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
símbolos “0,999...” y “1” :@0.084610:0.236333:0.229439:0.236333:0.229439:0.221393:0.084610:0.221393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son dos representaciones :@0.084610:0.251462:0.256670:0.251462:0.256670:0.236522:0.084610:0.236522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distintas del mismo :@0.084610:0.266591:0.216707:0.266591:0.216707:0.251651:0.084610:0.251651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número real.:@0.084610:0.281720:0.167594:0.281720:0.167594:0.266780:0.084610:0.266780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.084610:0.150804:0.183302:0.150804:0.183302:0.135398:0.084610:0.135398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.084610:0.165933:0.173224:0.165933:0.173224:0.150527:0.084610:0.150527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 1) Realiza operaciones para calcular el número decimal que representa una fracción y viceversa.:@0.360560:0.971366:0.917857:0.971366:0.917857:0.959414:0.360560:0.959414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cátedra de :@0.083324:0.397165:0.164525:0.397165:0.164525:0.381759:0.083324:0.381759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emprendimiento:@0.083324:0.409772:0.204887:0.409772:0.204887:0.394366:0.083324:0.394366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comprender y aplicar :@0.083324:0.430764:0.226369:0.430764:0.226369:0.415824:0.083324:0.415824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones y conversiones :@0.083324:0.445893:0.251254:0.445893:0.251254:0.430953:0.083324:0.430953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entre decimales y :@0.083324:0.461022:0.200440:0.461022:0.200440:0.446082:0.083324:0.446082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones es esencial para :@0.083324:0.476151:0.256737:0.476151:0.256737:0.461211:0.083324:0.461211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la gestión financiera en :@0.083324:0.491280:0.235853:0.491280:0.235853:0.476340:0.083324:0.476340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emprendimiento. Estos :@0.083324:0.506408:0.236566:0.506408:0.236566:0.491469:0.083324:0.491469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conceptos permiten :@0.083324:0.521537:0.218785:0.521537:0.218785:0.506598:0.083324:0.506598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a los emprendedores :@0.083324:0.536666:0.223608:0.536666:0.223608:0.521727:0.083324:0.521727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar cálculos precisos, :@0.083324:0.551795:0.245825:0.551795:0.245825:0.536855:0.083324:0.536855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evaluar opciones de :@0.083324:0.566924:0.216954:0.566924:0.216954:0.551984:0.083324:0.551984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiamiento, gestionar :@0.083324:0.582053:0.250399:0.582053:0.250399:0.567113:0.083324:0.567113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presupuestos y tomar :@0.083324:0.597182:0.227351:0.597182:0.227351:0.582242:0.083324:0.582242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decisiones informadas :@0.083324:0.612311:0.230904:0.612311:0.230904:0.597371:0.083324:0.597371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicables al mundo :@0.083324:0.627440:0.216896:0.627440:0.216896:0.612500:0.083324:0.612500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empresarial.:@0.083324:0.642569:0.160918:0.642569:0.160918:0.627629:0.083324:0.627629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los emprendedores :@0.083324:0.736230:0.216474:0.736230:0.216474:0.721290:0.083324:0.721290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
suelen solicitar préstamos :@0.083324:0.751359:0.253150:0.751359:0.253150:0.736419:0.083324:0.736419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y deben entender :@0.083324:0.766488:0.203099:0.766488:0.203099:0.751548:0.083324:0.751548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo convertir entre :@0.083324:0.781617:0.223646:0.781617:0.223646:0.766677:0.083324:0.766677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones y decimales :@0.083324:0.796745:0.231720:0.796745:0.231720:0.781806:0.083324:0.781806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para interpretar tasas de :@0.083324:0.811874:0.242296:0.811874:0.242296:0.796935:0.083324:0.796935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interés con precisión, por :@0.083324:0.827003:0.248869:0.827003:0.248869:0.812064:0.083324:0.812064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, una tasa del :@0.083324:0.842132:0.223932:0.842132:0.223932:0.827192:0.083324:0.827192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5% se puede expresar :@0.083324:0.857261:0.228019:0.857261:0.228019:0.842321:0.083324:0.842321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como 5/100   0.05, lo :@0.083324:0.872390:0.231101:0.872390:0.231101:0.857450:0.083324:0.857450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.165521:0.871886:0.179460:0.871886:0.179460:0.859417:0.165521:0.859417:0.000000
que permite calcular :@0.083324:0.887519:0.219759:0.887519:0.219759:0.872579:0.083324:0.872579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los intereses y tomar :@0.083324:0.902648:0.218666:0.902648:0.218666:0.887708:0.083324:0.887708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decisiones informadas :@0.083324:0.917777:0.230904:0.917777:0.230904:0.902837:0.083324:0.902837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre los préstamos.:@0.083324:0.932906:0.214819:0.932906:0.214819:0.917966:0.083324:0.917966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000