21:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000
Pensamiento numérico:@0.721207:0.043661:0.926911:0.043661:0.926911:0.024916:0.721207:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.144831:0.848854:0.144831:0.848854:0.127884:0.740294:0.127884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.161472:0.837769:0.161472:0.837769:0.144526:0.740294:0.144526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica que representa los números está dada por:@0.073089:0.136836:0.452028:0.136836:0.452028:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.423401:0.173139:0.435030:0.173139:0.435030:0.157667:0.423401:0.157667:0.000000
Z:@0.411708:0.189002:0.421049:0.189002:0.421049:0.173530:0.411708:0.173530:0.000000
N:@0.384793:0.207504:0.395850:0.207504:0.395850:0.192031:0.384793:0.192031:0.000000
Todo número natural es racional:@0.272594:0.276568:0.507032:0.276568:0.507032:0.260135:0.272594:0.260135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todo número entero es racional:@0.274085:0.303930:0.505528:0.303930:0.505528:0.287497:0.274085:0.287497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.2 Orden en los racionales:@0.073096:0.331292:0.284312:0.331292:0.284312:0.314345:0.073096:0.314345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos cómo se establece el orden en los racionales.:@0.073096:0.358654:0.494685:0.358654:0.494685:0.342220:0.073096:0.342220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para ordenar números racionales de menor a mayor, se deben expresar los racionales con :@0.073096:0.386016:0.710237:0.386016:0.710237:0.369582:0.073096:0.369582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo denominador y ordenar los números de acuerdo con el valor del numerador.:@0.073096:0.402658:0.699484:0.402658:0.699484:0.386224:0.073096:0.386224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ordenar de menor a mayor::@0.073096:0.430020:0.274037:0.430020:0.274037:0.413586:0.073096:0.413586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.326000:0.455709:0.334983:0.455709:0.334983:0.439275:0.326000:0.439275:0.000000
3:@0.326000:0.469688:0.334983:0.469688:0.334983:0.453254:0.326000:0.453254:0.000000
, :@0.341720:0.460036:0.348880:0.460036:0.348880:0.443602:0.341720:0.443602:0.000000:0.000000
3:@0.355612:0.455709:0.364595:0.455709:0.364595:0.439275:0.355612:0.439275:0.000000
4:@0.355612:0.469688:0.364595:0.469688:0.364595:0.453254:0.355612:0.453254:0.000000
, :@0.371332:0.460036:0.378492:0.460036:0.378492:0.443602:0.371332:0.443602:0.000000:0.000000
1:@0.385223:0.455709:0.394206:0.455709:0.394206:0.439275:0.385223:0.439275:0.000000
6 12 2:@0.385223:0.469688:0.453430:0.469688:0.453430:0.453254:0.385223:0.453254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.400943:0.460036:0.408103:0.460036:0.408103:0.443602:0.400943:0.443602:0.000000:0.000000
5:@0.414835:0.455709:0.423818:0.455709:0.423818:0.439275:0.414835:0.439275:0.000000
, :@0.430555:0.460036:0.437715:0.460036:0.437715:0.443602:0.430555:0.443602:0.000000:0.000000
1:@0.444447:0.455709:0.453430:0.455709:0.453430:0.439275:0.444447:0.439275:0.000000
El común denominador es 12.:@0.073081:0.487398:0.290371:0.487398:0.290371:0.470964:0.073081:0.470964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al expresar los números con denominador 12, se obtiene::@0.073081:0.514760:0.490119:0.514760:0.490119:0.498326:0.073081:0.498326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.326000:0.540441:0.334983:0.540441:0.334983:0.524007:0.326000:0.524007:0.000000
12 12 12 12 12:@0.321545:0.554420:0.457866:0.554420:0.457866:0.537986:0.321545:0.537986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.341720:0.544768:0.348880:0.544768:0.348880:0.528334:0.341720:0.528334:0.000000:0.000000
9:@0.355612:0.540441:0.364595:0.540441:0.364595:0.524007:0.355612:0.524007:0.000000
, :@0.371332:0.544768:0.378492:0.544768:0.378492:0.528334:0.371332:0.528334:0.000000:0.000000
2:@0.385223:0.540441:0.394206:0.540441:0.394206:0.524007:0.385223:0.524007:0.000000
, :@0.400943:0.544768:0.408103:0.544768:0.408103:0.528334:0.400943:0.528334:0.000000:0.000000
5:@0.414835:0.540441:0.423818:0.540441:0.423818:0.524007:0.414835:0.524007:0.000000
, :@0.430555:0.544768:0.437715:0.544768:0.437715:0.528334:0.430555:0.528334:0.000000:0.000000
6:@0.444447:0.540441:0.453430:0.540441:0.453430:0.524007:0.444447:0.524007:0.000000
Al ordenar los números de menor a mayor de acuerdo con el numerador, se obtiene::@0.073081:0.572130:0.686133:0.572130:0.686133:0.555696:0.073081:0.555696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.293861:0.597810:0.302844:0.597810:0.302844:0.581376:0.293861:0.581376:0.000000
12:@0.289406:0.611789:0.307280:0.611789:0.307280:0.595355:0.289406:0.595355:0.000000:0.000000
 :@0.309581:0.602137:0.313612:0.602137:0.313612:0.585703:0.309581:0.585703:0.000000
,:@0.313538:0.601582:0.328872:0.601582:0.328872:0.587866:0.313538:0.587866:0.000000
5:@0.339543:0.597810:0.348525:0.597810:0.348525:0.581376:0.339543:0.581376:0.000000
12:@0.335088:0.611789:0.352962:0.611789:0.352962:0.595355:0.335088:0.595355:0.000000:0.000000
 :@0.355263:0.602137:0.359294:0.602137:0.359294:0.585703:0.355263:0.585703:0.000000
,:@0.359220:0.601582:0.374553:0.601582:0.374553:0.587866:0.359220:0.587866:0.000000
6:@0.385223:0.597810:0.394206:0.597810:0.394206:0.581376:0.385223:0.581376:0.000000
12:@0.380768:0.611789:0.398642:0.611789:0.398642:0.595355:0.380768:0.595355:0.000000:0.000000
 :@0.400943:0.602137:0.404974:0.602137:0.404974:0.585703:0.400943:0.585703:0.000000
,:@0.404900:0.601582:0.420233:0.601582:0.420233:0.587866:0.404900:0.587866:0.000000
8:@0.430905:0.597810:0.439887:0.597810:0.439887:0.581376:0.430905:0.581376:0.000000
12:@0.426450:0.611789:0.444323:0.611789:0.444323:0.595355:0.426450:0.595355:0.000000:0.000000
 :@0.446624:0.602137:0.450656:0.602137:0.450656:0.585703:0.446624:0.585703:0.000000
,:@0.450582:0.601582:0.465915:0.601582:0.465915:0.587866:0.450582:0.587866:0.000000
9:@0.476586:0.597810:0.485569:0.597810:0.485569:0.581376:0.476586:0.581376:0.000000
12:@0.472132:0.611789:0.490005:0.611789:0.490005:0.595355:0.472132:0.595355:0.000000:0.000000
Luego, al ordenar los números originales, podemos escribir::@0.073081:0.629499:0.503085:0.629499:0.503085:0.613065:0.073081:0.613065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.293861:0.655179:0.302844:0.655179:0.302844:0.638745:0.293861:0.638745:0.000000
6:@0.293861:0.669158:0.302844:0.669158:0.302844:0.652724:0.293861:0.652724:0.000000
,:@0.313532:0.658946:0.328865:0.658946:0.328865:0.645230:0.313532:0.645230:0.000000
 :@0.328773:0.659501:0.332804:0.659501:0.332804:0.643067:0.328773:0.643067:0.000000
5:@0.339543:0.655179:0.348525:0.655179:0.348525:0.638745:0.339543:0.638745:0.000000
12:@0.335088:0.669158:0.352962:0.669158:0.352962:0.652724:0.335088:0.652724:0.000000:0.000000
 :@0.355263:0.659506:0.359294:0.659506:0.359294:0.643072:0.355263:0.643072:0.000000
,:@0.359220:0.658951:0.374553:0.658951:0.374553:0.645235:0.359220:0.645235:0.000000
1:@0.385223:0.655179:0.394206:0.655179:0.394206:0.638745:0.385223:0.638745:0.000000
2:@0.385223:0.669158:0.394206:0.669158:0.394206:0.652724:0.385223:0.652724:0.000000
   :@0.400943:0.659506:0.424173:0.659506:0.424173:0.643072:0.400943:0.643072:0.000000:0.000000:0.000000
,:@0.404900:0.658951:0.420233:0.658951:0.420233:0.645235:0.404900:0.645235:0.000000
2:@0.430905:0.655179:0.439887:0.655179:0.439887:0.638745:0.430905:0.638745:0.000000
3:@0.430905:0.669158:0.439887:0.669158:0.439887:0.652724:0.430905:0.652724:0.000000
   :@0.446624:0.659506:0.469854:0.659506:0.469854:0.643072:0.446624:0.643072:0.000000:0.000000:0.000000
,:@0.450582:0.658951:0.465915:0.658951:0.465915:0.645235:0.450582:0.645235:0.000000
3:@0.476586:0.655179:0.485569:0.655179:0.485569:0.638745:0.476586:0.638745:0.000000
4:@0.476586:0.669158:0.485569:0.669158:0.485569:0.652724:0.476586:0.652724:0.000000
2.2.1 Densidad de los números racionales:@0.073081:0.686868:0.385570:0.686868:0.385570:0.670198:0.073081:0.670198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Esta propiedad establece que siempre, entre dos números racionales, hay otro número :@0.073081:0.714230:0.710791:0.714230:0.710791:0.697796:0.073081:0.697796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional. En notación matemática se escribe::@0.073081:0.730872:0.393640:0.730872:0.393640:0.714438:0.073081:0.714438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  ,   :@0.254595:0.758233:0.300245:0.758233:0.300245:0.741800:0.254595:0.741800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.270775:0.758233:0.296287:0.758233:0.296287:0.741827:0.270775:0.741827:0.000000:0.000000:0.000000
[:@0.300171:0.758095:0.315505:0.758095:0.315505:0.744046:0.300171:0.744046:0.000000
Q a:@0.315412:0.758233:0.352393:0.758233:0.352393:0.741827:0.315412:0.741827:0.000000:0.000000:0.000000
 y   :@0.327212:0.758233:0.356350:0.758233:0.356350:0.741800:0.327212:0.741800:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.356277:0.757679:0.376120:0.757679:0.376120:0.743963:0.356277:0.743963:0.000000:0.000000
b:@0.376028:0.758233:0.385286:0.758233:0.385286:0.741827:0.376028:0.741827:0.000000
, :@0.385213:0.758233:0.392373:0.758233:0.392373:0.741800:0.385213:0.741800:0.000000:0.000000
] [:@0.392281:0.758095:0.434397:0.758095:0.434397:0.744046:0.392281:0.744046:0.000000:0.000000:0.000000
c:@0.407522:0.758233:0.415180:0.758233:0.415180:0.741827:0.407522:0.741827:0.000000
 :@0.415106:0.758233:0.419137:0.758233:0.419137:0.741800:0.415106:0.741800:0.000000
Q a :@0.434305:0.758233:0.465671:0.758233:0.465671:0.741827:0.434305:0.741827:0.000000:0.000000:0.000000:0.000000
: :@0.446104:0.758233:0.453264:0.758233:0.453264:0.741800:0.446104:0.741800:0.000000:0.000000
, ,:@0.465616:0.757679:0.511689:0.757679:0.511689:0.743963:0.465616:0.743963:0.000000:0.000000:0.000000
     :@0.480857:0.758233:0.515628:0.758233:0.515628:0.741800:0.480857:0.741800:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.484814:0.758233:0.492472:0.758233:0.492472:0.741827:0.484814:0.741827:0.000000
b:@0.515555:0.758233:0.524813:0.758233:0.524813:0.741827:0.515555:0.741827:0.000000
Esto significa que los números racionales no poseen, :@0.073063:0.785595:0.457531:0.785595:0.457531:0.769162:0.073063:0.769162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ni sucesor ni antecesor:@0.457112:0.785595:0.632630:0.785595:0.632630:0.768926:0.457112:0.768926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, :@0.532968:0.785595:0.540128:0.785595:0.540128:0.769162:0.532968:0.769162:0.000000:0.000000
.:@0.632514:0.785595:0.635717:0.785595:0.635717:0.769162:0.632514:0.769162:0.000000
Hallar dos números racionales que estén entre :@0.073063:0.815606:0.412730:0.815606:0.412730:0.799172:0.073063:0.799172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.419199:0.811278:0.428182:0.811278:0.428182:0.794844:0.419199:0.794844:0.000000
8:@0.419199:0.825257:0.428182:0.825257:0.428182:0.808823:0.419199:0.808823:0.000000
 y :@0.434919:0.815605:0.450933:0.815605:0.450933:0.799171:0.434919:0.799171:0.000000:0.000000:0.000000
5:@0.457659:0.811278:0.466641:0.811278:0.466641:0.794844:0.457659:0.794844:0.000000
6:@0.457659:0.825257:0.466641:0.825257:0.466641:0.808823:0.457659:0.808823:0.000000
 :@0.473452:0.815605:0.477483:0.815605:0.477483:0.799171:0.473452:0.799171:0.000000
Primero, expresamos los dos números con el mismo denominador. En este caso, el :@0.073076:0.842967:0.710549:0.842967:0.710549:0.826533:0.073076:0.826533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador común es 24 y los números son :@0.073076:0.862258:0.410474:0.862258:0.410474:0.845824:0.073076:0.845824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.416945:0.857926:0.425928:0.857926:0.425928:0.841492:0.416945:0.841492:0.000000
24:@0.412491:0.871905:0.430364:0.871905:0.430364:0.855471:0.412491:0.855471:0.000000:0.000000
y :@0.436623:0.862253:0.448679:0.862253:0.448679:0.845819:0.436623:0.845819:0.000000:0.000000
20:@0.450957:0.857926:0.468830:0.857926:0.468830:0.841492:0.450957:0.841492:0.000000:0.000000
24:@0.450957:0.871905:0.468830:0.871905:0.468830:0.855471:0.450957:0.855471:0.000000:0.000000
Entre 9 y 24 se pueden escribir infinidad de números. Por ejemplo, :@0.073089:0.892254:0.555742:0.892254:0.555742:0.875821:0.073089:0.875821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.557612:0.887931:0.575485:0.887931:0.575485:0.871498:0.557612:0.871498:0.000000:0.000000
24:@0.557612:0.901911:0.575485:0.901911:0.575485:0.885477:0.557612:0.885477:0.000000:0.000000
y :@0.581744:0.892258:0.593800:0.892258:0.593800:0.875824:0.581744:0.875824:0.000000:0.000000
13:@0.596071:0.887931:0.613945:0.887931:0.613945:0.871498:0.596071:0.871498:0.000000:0.000000
24:@0.596071:0.901911:0.613945:0.901911:0.613945:0.885477:0.596071:0.885477:0.000000:0.000000
Un número racional es :@0.740294:0.182996:0.893250:0.182996:0.893250:0.168056:0.740294:0.168056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
todo número que puede :@0.740294:0.198125:0.908439:0.198125:0.908439:0.183185:0.740294:0.183185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ser representado como :@0.740294:0.213254:0.897279:0.213254:0.897279:0.198314:0.740294:0.198314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una fracción.:@0.740294:0.228383:0.824733:0.228383:0.824733:0.213443:0.740294:0.213443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.748962:0.246981:0.758221:0.246981:0.758221:0.230575:0.748962:0.230575:0.000000
b:@0.748962:0.260960:0.758221:0.260960:0.758221:0.244554:0.748962:0.244554:0.000000
 donde :@0.761450:0.250988:0.812572:0.250988:0.812572:0.236048:0.761450:0.236048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a Z, b Z, b:@0.812455:0.250988:0.893865:0.250988:0.893865:0.236073:0.812455:0.236073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.820805:0.250862:0.834745:0.250862:0.834745:0.238090:0.820805:0.238090:0.000000
[:@0.857319:0.250862:0.871258:0.250862:0.871258:0.238090:0.857319:0.238090:0.000000
Þ:@0.893832:0.250484:0.907771:0.250484:0.907771:0.238015:0.893832:0.238015:0.000000
0:@0.907688:0.250988:0.915854:0.250988:0.915854:0.236048:0.907688:0.236048:0.000000
De acuerdo con lo :@0.740299:0.276833:0.865522:0.276833:0.865522:0.261893:0.740299:0.261893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expuesto, todo número :@0.740299:0.291962:0.899597:0.291962:0.899597:0.277022:0.740299:0.277022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero es un número :@0.740299:0.307091:0.883204:0.307091:0.883204:0.292151:0.740299:0.292151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional Q.:@0.740299:0.322220:0.809436:0.322220:0.809436:0.307280:0.740299:0.307280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
17 = :@0.802816:0.344825:0.836184:0.344825:0.836184:0.329885:0.802816:0.329885:0.000000:0.000000:0.000000:0.000000:0.000000
17:@0.838453:0.340824:0.856326:0.340824:0.856326:0.324390:0.838453:0.324390:0.000000:0.000000
1:@0.842907:0.354803:0.851890:0.354803:0.851890:0.338369:0.842907:0.338369:0.000000
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