136:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Factorización y fracciones algebraicas:@0.073089:0.043661:0.408833:0.043661:0.408833:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7.1 Adición y sustracción de fracciones algebraicas :@0.293660:0.231357:0.692291:0.231357:0.692291:0.214410:0.293660:0.214410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las fracciones algebraicas se utilizan con frecuencia para resolver problemas de Física :@0.293660:0.258720:0.930711:0.258720:0.930711:0.242286:0.293660:0.242286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
avanzada. Por ejemplo, la fuerza de atracción o de repulsión entre dos cargas eléctricas :@0.293660:0.275362:0.930746:0.275362:0.930746:0.258928:0.293660:0.258928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.293660:0.302876:0.305533:0.302876:0.305533:0.286470:0.293660:0.286470:0.000000
1:@0.305586:0.306049:0.310823:0.306049:0.310823:0.296468:0.305586:0.296468:0.000000
 y  , separadas una distancia   está dada por   :@0.310861:0.302876:0.665713:0.302876:0.665713:0.286443:0.310861:0.286443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.328679:0.302876:0.340552:0.302876:0.340552:0.286470:0.328679:0.286470:0.000000
2:@0.340610:0.306049:0.345847:0.306049:0.345847:0.296468:0.340610:0.296468:0.000000
r:@0.536236:0.302876:0.541519:0.302876:0.541519:0.286470:0.536236:0.286470:0.000000
F:@0.653582:0.302876:0.661626:0.302876:0.661626:0.286470:0.653582:0.286470:0.000000
5 :@0.666504:0.302322:0.686513:0.302322:0.686513:0.288606:0.666504:0.288606:0.000000:0.000000
K:@0.687433:0.302876:0.696066:0.302876:0.696066:0.286470:0.687433:0.286470:0.000000
 :@0.696121:0.302876:0.700153:0.302876:0.700153:0.286443:0.696121:0.286443:0.000000
Q:@0.710168:0.290323:0.722040:0.290323:0.722040:0.273917:0.710168:0.273917:0.000000
1:@0.721973:0.293495:0.727210:0.293495:0.727210:0.283914:0.721973:0.283914:0.000000
 Q:@0.727163:0.290323:0.743471:0.290323:0.743471:0.273889:0.727163:0.273889:0.000000:0.000000
2:@0.743384:0.293495:0.748342:0.293495:0.748342:0.283931:0.743384:0.283931:0.000000
r:@0.724028:0.309848:0.729311:0.309848:0.729311:0.293442:0.724028:0.293442:0.000000
2:@0.729244:0.303784:0.734481:0.303784:0.734481:0.294203:0.729244:0.294203:0.000000
. A esta expresión se le :@0.757638:0.302876:0.931000:0.302876:0.931000:0.286443:0.757638:0.286443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conoce como Ley de Coulomb. :@0.293665:0.319518:0.525276:0.319518:0.525276:0.303084:0.293665:0.303084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para hallar la fuerza resultante, se debe aplicar la suma de fracciones.:@0.293665:0.346880:0.787379:0.346880:0.787379:0.330446:0.293665:0.330446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma y la resta de fracciones algebraicas cumplen con las propiedades de la suma y :@0.293665:0.374242:0.930440:0.374242:0.930440:0.357808:0.293665:0.357808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la resta de los números racionales. :@0.293665:0.390884:0.544241:0.390884:0.544241:0.374450:0.293665:0.374450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para sumar o restar fracciones algebraicas::@0.305399:0.421879:0.609030:0.421879:0.609030:0.405446:0.305399:0.405446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Se factorizan los denominadores.:@0.305399:0.438521:0.575075:0.438521:0.575075:0.422087:0.305399:0.422087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Se halla el denominador común: es el producto de los factores de los :@0.305399:0.455163:0.922493:0.455163:0.922493:0.438729:0.305399:0.438729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominadores (no se deben repetir los factores comunes).:@0.335528:0.471805:0.767732:0.471805:0.767732:0.455371:0.335528:0.455371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Se expresa cada fracción con ese denominador común.:@0.305399:0.488447:0.737013:0.488447:0.737013:0.472013:0.305399:0.472013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  Se realizan las operaciones resultantes en el numerador.:@0.305399:0.505088:0.739148:0.505088:0.739148:0.488655:0.305399:0.488655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.  Se simplifica el resultado.:@0.305399:0.521730:0.516505:0.521730:0.516505:0.505297:0.305399:0.505297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293652:0.557233:0.369434:0.557233:0.369434:0.540563:0.293652:0.540563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma :@0.293652:0.589019:0.339136:0.589019:0.339136:0.572585:0.293652:0.572585:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.362861:0.582909:0.371844:0.582909:0.371844:0.566475:0.362861:0.566475:0.000000
x:@0.348945:0.596888:0.356400:0.596888:0.356400:0.580482:0.348945:0.580482:0.000000
2:@0.356340:0.590821:0.361577:0.590821:0.361577:0.581240:0.356340:0.581240:0.000000
2:@0.361531:0.596330:0.376864:0.596330:0.376864:0.582614:0.361531:0.582614:0.000000
9:@0.376772:0.596885:0.385755:0.596885:0.385755:0.580451:0.376772:0.580451:0.000000
   :@0.395584:0.589021:0.418814:0.589021:0.418814:0.572588:0.395584:0.572588:0.000000:0.000000:0.000000
1:@0.399542:0.588467:0.414875:0.588467:0.414875:0.574751:0.399542:0.574751:0.000000
1:@0.451792:0.582909:0.460775:0.582909:0.460775:0.566475:0.451792:0.566475:0.000000
x:@0.421107:0.596888:0.428562:0.596888:0.428562:0.580482:0.421107:0.580482:0.000000
2:@0.428493:0.590821:0.433730:0.590821:0.433730:0.581240:0.428493:0.581240:0.000000
1 1:@0.433684:0.596330:0.480549:0.596330:0.480549:0.582614:0.433684:0.582614:0.000000:0.000000:0.000000
4:@0.448925:0.596885:0.457908:0.596885:0.457908:0.580451:0.448925:0.580451:0.000000
x:@0.457834:0.596885:0.465289:0.596885:0.465289:0.580479:0.457834:0.580479:0.000000
3:@0.480457:0.596885:0.489440:0.596885:0.489440:0.580451:0.480457:0.580451:0.000000
Factorizamos los denominadores: :@0.293660:0.620807:0.540430:0.620807:0.540430:0.604373:0.293660:0.604373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.579866:0.614701:0.588849:0.614701:0.588849:0.598268:0.579866:0.598268:0.000000
(:@0.543199:0.628681:0.548077:0.628681:0.548077:0.612247:0.543199:0.612247:0.000000
x:@0.548003:0.628681:0.555458:0.628681:0.555458:0.612275:0.548003:0.612275:0.000000
1:@0.555384:0.628126:0.570718:0.628126:0.570718:0.614410:0.555384:0.614410:0.000000
3)(:@0.570626:0.628681:0.589217:0.628681:0.589217:0.612247:0.570626:0.612247:0.000000:0.000000:0.000000
x:@0.589125:0.628681:0.596580:0.628681:0.596580:0.612275:0.589125:0.612275:0.000000
2:@0.596506:0.628126:0.611840:0.628126:0.611840:0.614410:0.596506:0.614410:0.000000
3):@0.611748:0.628681:0.625535:0.628681:0.625535:0.612247:0.611748:0.612247:0.000000:0.000000
   :@0.628461:0.620817:0.651691:0.620817:0.651691:0.604384:0.628461:0.604384:0.000000:0.000000:0.000000
1:@0.632419:0.620263:0.647752:0.620263:0.647752:0.606547:0.632419:0.606547:0.000000
1:@0.691309:0.614701:0.700291:0.614701:0.700291:0.598268:0.691309:0.598268:0.000000
(:@0.654641:0.628681:0.659519:0.628681:0.659519:0.612247:0.654641:0.612247:0.000000
x:@0.659446:0.628681:0.666901:0.628681:0.666901:0.612275:0.659446:0.612275:0.000000
1:@0.666827:0.628126:0.682160:0.628126:0.682160:0.614410:0.666827:0.614410:0.000000
3)(:@0.682068:0.628681:0.700660:0.628681:0.700660:0.612247:0.682068:0.612247:0.000000:0.000000:0.000000
x:@0.700568:0.628681:0.708022:0.628681:0.708022:0.612275:0.700568:0.612275:0.000000
1:@0.707949:0.628126:0.723282:0.628126:0.723282:0.614410:0.707949:0.614410:0.000000
1):@0.723190:0.628681:0.736977:0.628681:0.736977:0.612247:0.723190:0.612247:0.000000:0.000000
El común denominador es (:@0.293657:0.648179:0.508631:0.648179:0.508631:0.631745:0.293657:0.631745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.508764:0.648179:0.516219:0.648179:0.516219:0.631773:0.508764:0.631773:0.000000
1:@0.516421:0.647625:0.531755:0.647625:0.531755:0.633909:0.516421:0.633909:0.000000
3)(:@0.532031:0.648179:0.551248:0.648179:0.551248:0.631745:0.532031:0.631745:0.000000:0.000000:0.000000
x:@0.551469:0.648179:0.558924:0.648179:0.558924:0.631773:0.551469:0.631773:0.000000
2:@0.559126:0.647625:0.574459:0.647625:0.574459:0.633909:0.559126:0.633909:0.000000
3)( +1). Para llevarlos al denominador común, :@0.574736:0.648179:0.931080:0.648179:0.931080:0.631745:0.574736:0.631745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.594174:0.648179:0.601629:0.648179:0.601629:0.631773:0.594174:0.631773:0.000000
multiplicamos las fracciones, tanto en el numerador, como en el denominador, por los :@0.293657:0.664821:0.931286:0.664821:0.931286:0.648387:0.293657:0.648387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factores que le falten a cada denominador para ser igual al denominador común. La :@0.293657:0.681463:0.931280:0.681463:0.931280:0.665029:0.293657:0.665029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primera fracción se multiplica por (:@0.293657:0.698105:0.545939:0.698105:0.545939:0.681671:0.293657:0.681671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.545615:0.698105:0.553070:0.698105:0.553070:0.681699:0.545615:0.681699:0.000000
1:@0.552997:0.697550:0.568330:0.697550:0.568330:0.683834:0.552997:0.683834:0.000000
1), la segunda fracción se multiplica por (:@0.568238:0.698105:0.863858:0.698105:0.863858:0.681671:0.568238:0.681671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.863490:0.698105:0.870945:0.698105:0.870945:0.681699:0.863490:0.681699:0.000000
2:@0.870871:0.697550:0.886205:0.697550:0.886205:0.683834:0.870871:0.683834:0.000000
3). :@0.886113:0.698105:0.907060:0.698105:0.907060:0.681671:0.886113:0.681671:0.000000:0.000000:0.000000:0.000000
Al dejar una fracción, podemos escribir::@0.293638:0.725467:0.578991:0.725467:0.578991:0.709033:0.293638:0.709033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.393126:0.751146:0.402109:0.751146:0.402109:0.734712:0.393126:0.734712:0.000000
(:@0.356459:0.765125:0.361337:0.765125:0.361337:0.748691:0.356459:0.748691:0.000000
x:@0.361263:0.765125:0.368718:0.765125:0.368718:0.748719:0.361263:0.748719:0.000000
1:@0.368645:0.764570:0.383978:0.764570:0.383978:0.750854:0.368645:0.750854:0.000000
3)(:@0.383886:0.765125:0.402477:0.765125:0.402477:0.748691:0.383886:0.748691:0.000000:0.000000:0.000000
x:@0.402385:0.765125:0.409840:0.765125:0.409840:0.748719:0.402385:0.748719:0.000000
2:@0.409766:0.764570:0.425100:0.764570:0.425100:0.750854:0.409766:0.750854:0.000000
1):@0.425008:0.765125:0.438795:0.765125:0.438795:0.748691:0.425008:0.748691:0.000000:0.000000
   :@0.441721:0.757261:0.464951:0.757261:0.464951:0.740828:0.441721:0.740828:0.000000:0.000000:0.000000
1:@0.445679:0.756707:0.461012:0.756707:0.461012:0.742991:0.445679:0.742991:0.000000
21:@0.500118:0.751146:0.518009:0.751146:0.518009:0.734712:0.500118:0.734712:0.000000:0.000000
(:@0.467886:0.765125:0.472764:0.765125:0.472764:0.748691:0.467886:0.748691:0.000000
x:@0.472691:0.765125:0.480146:0.765125:0.480146:0.748719:0.472691:0.748719:0.000000
1:@0.480072:0.764570:0.495405:0.764570:0.495405:0.750854:0.480072:0.750854:0.000000
3)(:@0.495313:0.765125:0.513905:0.765125:0.513905:0.748691:0.495313:0.748691:0.000000:0.000000:0.000000
x:@0.513813:0.765125:0.521267:0.765125:0.521267:0.748719:0.513813:0.748719:0.000000
2:@0.521194:0.764570:0.536527:0.764570:0.536527:0.750854:0.521194:0.750854:0.000000
1):@0.536435:0.765125:0.550222:0.765125:0.550222:0.748691:0.536435:0.748691:0.000000:0.000000
   :@0.553167:0.757261:0.576397:0.757261:0.576397:0.740828:0.553167:0.740828:0.000000:0.000000:0.000000
5:@0.557125:0.756707:0.572458:0.756707:0.572458:0.742991:0.557125:0.742991:0.000000
2(:@0.587669:0.751146:0.601456:0.751146:0.601456:0.734712:0.587669:0.734712:0.000000:0.000000
x:@0.601364:0.751146:0.608819:0.751146:0.608819:0.734740:0.601364:0.734740:0.000000
1 1:@0.608745:0.750591:0.653015:0.750591:0.653015:0.736875:0.608745:0.736875:0.000000:0.000000:0.000000
1) 1(:@0.623987:0.751146:0.666710:0.751146:0.666710:0.734712:0.623987:0.734712:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.666618:0.751146:0.674073:0.751146:0.674073:0.734740:0.666618:0.734740:0.000000
2:@0.673999:0.750591:0.689332:0.750591:0.689332:0.736875:0.673999:0.736875:0.000000
3):@0.689240:0.751146:0.703027:0.751146:0.703027:0.734712:0.689240:0.734712:0.000000:0.000000
(:@0.583601:0.765125:0.588479:0.765125:0.588479:0.748691:0.583601:0.748691:0.000000
x:@0.588405:0.765125:0.595860:0.765125:0.595860:0.748719:0.588405:0.748719:0.000000
1:@0.595787:0.764570:0.611120:0.764570:0.611120:0.750854:0.595787:0.750854:0.000000
3)(:@0.611028:0.765125:0.629619:0.765125:0.629619:0.748691:0.611028:0.748691:0.000000:0.000000:0.000000
x:@0.629527:0.765125:0.636982:0.765125:0.636982:0.748719:0.629527:0.748719:0.000000
2:@0.636909:0.764570:0.652242:0.764570:0.652242:0.750854:0.636909:0.750854:0.000000
3)(:@0.652150:0.765125:0.670741:0.765125:0.670741:0.748691:0.652150:0.748691:0.000000:0.000000:0.000000
x:@0.670649:0.765125:0.678104:0.765125:0.678104:0.748719:0.670649:0.748719:0.000000
1:@0.678030:0.764570:0.693364:0.764570:0.693364:0.750854:0.678030:0.750854:0.000000
1):@0.693272:0.765125:0.707059:0.765125:0.707059:0.748691:0.693272:0.748691:0.000000:0.000000
   :@0.714293:0.757261:0.737523:0.757261:0.737523:0.740828:0.714293:0.740828:0.000000:0.000000:0.000000
5:@0.718250:0.756707:0.733583:0.756707:0.733583:0.742991:0.718250:0.742991:0.000000
2:@0.758661:0.751146:0.767644:0.751146:0.767644:0.734712:0.758661:0.734712:0.000000
x:@0.767570:0.751146:0.775025:0.751146:0.775025:0.734740:0.767570:0.734740:0.000000
1 1 2:@0.774951:0.750591:0.837057:0.750591:0.837057:0.736875:0.774951:0.736875:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.790192:0.751146:0.799175:0.751146:0.799175:0.734712:0.790192:0.734712:0.000000
x:@0.814343:0.751146:0.821798:0.751146:0.821798:0.734740:0.814343:0.734740:0.000000
3:@0.836965:0.751146:0.845948:0.751146:0.845948:0.734712:0.836965:0.734712:0.000000
(:@0.740566:0.765125:0.745444:0.765125:0.745444:0.748691:0.740566:0.748691:0.000000
x:@0.745371:0.765125:0.752826:0.765125:0.752826:0.748719:0.745371:0.748719:0.000000
1:@0.752752:0.764570:0.768085:0.764570:0.768085:0.750854:0.752752:0.750854:0.000000
3)(:@0.767993:0.765125:0.786585:0.765125:0.786585:0.748691:0.767993:0.748691:0.000000:0.000000:0.000000
x:@0.786493:0.765125:0.793948:0.765125:0.793948:0.748719:0.786493:0.748719:0.000000
2:@0.793874:0.764570:0.809207:0.764570:0.809207:0.750854:0.793874:0.750854:0.000000
3)(:@0.809115:0.765125:0.827706:0.765125:0.827706:0.748691:0.809115:0.748691:0.000000:0.000000:0.000000
x:@0.827614:0.765125:0.835069:0.765125:0.835069:0.748719:0.827614:0.748719:0.000000
1:@0.834996:0.764570:0.850329:0.764570:0.850329:0.750854:0.834996:0.750854:0.000000
1):@0.850237:0.765125:0.864024:0.765125:0.864024:0.748691:0.850237:0.748691:0.000000:0.000000
 :@0.867116:0.757261:0.871148:0.757261:0.871148:0.740828:0.867116:0.740828:0.000000
Al resolver las operaciones, obtenemos :@0.293638:0.789047:0.580193:0.789047:0.580193:0.772614:0.293638:0.772614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.624477:0.782938:0.633460:0.782938:0.633460:0.766504:0.624477:0.766504:0.000000
x:@0.633386:0.782938:0.640841:0.782938:0.640841:0.766532:0.633386:0.766532:0.000000
2:@0.640767:0.782383:0.656101:0.782383:0.656101:0.768667:0.640767:0.768667:0.000000
1:@0.656009:0.782938:0.664991:0.782938:0.664991:0.766504:0.656009:0.766504:0.000000
(:@0.583005:0.796917:0.587883:0.796917:0.587883:0.780483:0.583005:0.780483:0.000000
x:@0.587810:0.796917:0.595265:0.796917:0.595265:0.780511:0.587810:0.780511:0.000000
1:@0.595191:0.796362:0.610524:0.796362:0.610524:0.782647:0.595191:0.782647:0.000000
3)(:@0.610432:0.796917:0.629024:0.796917:0.629024:0.780483:0.610432:0.780483:0.000000:0.000000:0.000000
x:@0.628932:0.796917:0.636386:0.796917:0.636386:0.780511:0.628932:0.780511:0.000000
2:@0.636313:0.796362:0.651646:0.796362:0.651646:0.782647:0.636313:0.782647:0.000000
3)(:@0.651554:0.796917:0.670145:0.796917:0.670145:0.780483:0.651554:0.780483:0.000000:0.000000:0.000000
x:@0.670053:0.796917:0.677508:0.796917:0.677508:0.780511:0.670053:0.780511:0.000000
1:@0.677435:0.796362:0.692768:0.796362:0.692768:0.782647:0.677435:0.782647:0.000000
1):@0.692676:0.796917:0.706463:0.796917:0.706463:0.780483:0.692676:0.780483:0.000000:0.000000
Ejemplo 2:@0.293643:0.816416:0.369426:0.816416:0.369426:0.799746:0.293643:0.799746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza la operación :@0.293643:0.848202:0.441097:0.848202:0.441097:0.831768:0.293643:0.831768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.471650:0.842094:0.480633:0.842094:0.480633:0.825661:0.471650:0.825661:0.000000
x:@0.446432:0.856074:0.453887:0.856074:0.453887:0.839668:0.446432:0.839668:0.000000
2:@0.453815:0.850005:0.459052:0.850005:0.459052:0.840424:0.453815:0.840424:0.000000
2 2:@0.459004:0.855514:0.496960:0.855514:0.496960:0.841798:0.459004:0.841798:0.000000:0.000000:0.000000
x:@0.474245:0.856069:0.481700:0.856069:0.481700:0.839662:0.474245:0.839662:0.000000
6:@0.496868:0.856069:0.505851:0.856069:0.505851:0.839635:0.496868:0.839635:0.000000
   :@0.511299:0.848205:0.534529:0.848205:0.534529:0.831771:0.511299:0.831771:0.000000:0.000000:0.000000
1:@0.515257:0.847651:0.530590:0.847651:0.530590:0.833935:0.515257:0.833935:0.000000
4:@0.567875:0.842094:0.576857:0.842094:0.576857:0.825661:0.567875:0.825661:0.000000
x:@0.536822:0.856074:0.544277:0.856074:0.544277:0.839668:0.536822:0.839668:0.000000
2:@0.544206:0.850005:0.549443:0.850005:0.549443:0.840424:0.544206:0.840424:0.000000
2 2:@0.549395:0.855514:0.596260:0.855514:0.596260:0.841798:0.549395:0.841798:0.000000:0.000000:0.000000
2:@0.564637:0.856069:0.573619:0.856069:0.573619:0.839635:0.564637:0.839635:0.000000
x:@0.573546:0.856069:0.581001:0.856069:0.581001:0.839662:0.573546:0.839662:0.000000
3:@0.596168:0.856069:0.605151:0.856069:0.605151:0.839635:0.596168:0.839635:0.000000
   :@0.610195:0.848205:0.633425:0.848205:0.633425:0.831771:0.610195:0.831771:0.000000:0.000000:0.000000
2:@0.614152:0.847651:0.629485:0.847651:0.629485:0.833935:0.614152:0.833935:0.000000
2:@0.666538:0.842094:0.675520:0.842094:0.675520:0.825661:0.666538:0.825661:0.000000
x:@0.635724:0.856074:0.643179:0.856074:0.643179:0.839668:0.635724:0.839668:0.000000
2:@0.643107:0.850005:0.648344:0.850005:0.648344:0.840424:0.643107:0.840424:0.000000
1 1:@0.648298:0.855514:0.695162:0.855514:0.695162:0.841798:0.648298:0.841798:0.000000:0.000000:0.000000
3:@0.663539:0.856069:0.672522:0.856069:0.672522:0.839635:0.663539:0.839635:0.000000
x:@0.672448:0.856069:0.679903:0.856069:0.679903:0.839662:0.672448:0.839662:0.000000
2:@0.695070:0.856069:0.704053:0.856069:0.704053:0.839635:0.695070:0.839635:0.000000
Factorizamos los denominadores: :@0.293663:0.879991:0.540433:0.879991:0.540433:0.863557:0.293663:0.863557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.581051:0.873887:0.590034:0.873887:0.590034:0.857453:0.581051:0.857453:0.000000
(:@0.544384:0.887866:0.549262:0.887866:0.549262:0.871432:0.544384:0.871432:0.000000
x:@0.549188:0.887866:0.556643:0.887866:0.556643:0.871460:0.549188:0.871460:0.000000
1:@0.556569:0.887311:0.571902:0.887311:0.571902:0.873595:0.556569:0.873595:0.000000
2)(:@0.571810:0.887866:0.590402:0.887866:0.590402:0.871432:0.571810:0.871432:0.000000:0.000000:0.000000
x:@0.590310:0.887866:0.597765:0.887866:0.597765:0.871460:0.590310:0.871460:0.000000
2:@0.597691:0.887311:0.613024:0.887311:0.613024:0.873595:0.597691:0.873595:0.000000
3):@0.612932:0.887866:0.626719:0.887866:0.626719:0.871432:0.612932:0.871432:0.000000:0.000000
   :@0.630843:0.880003:0.654072:0.880003:0.654072:0.863569:0.630843:0.863569:0.000000:0.000000:0.000000
1:@0.634800:0.879448:0.650133:0.879448:0.650133:0.865732:0.634800:0.865732:0.000000
4:@0.694866:0.873887:0.703849:0.873887:0.703849:0.857453:0.694866:0.857453:0.000000
(:@0.656358:0.887866:0.661236:0.887866:0.661236:0.871432:0.656358:0.871432:0.000000
x:@0.661163:0.887866:0.668618:0.887866:0.668618:0.871460:0.661163:0.871460:0.000000
2:@0.668544:0.887311:0.683877:0.887311:0.683877:0.873595:0.668544:0.873595:0.000000
3)(:@0.683785:0.887866:0.702376:0.887866:0.702376:0.871432:0.683785:0.871432:0.000000:0.000000:0.000000
x:@0.702284:0.887866:0.709739:0.887866:0.709739:0.871460:0.702284:0.871460:0.000000
1:@0.709666:0.887311:0.724999:0.887311:0.724999:0.873595:0.709666:0.873595:0.000000
1):@0.724907:0.887866:0.738694:0.887866:0.738694:0.871432:0.724907:0.871432:0.000000:0.000000
   :@0.744658:0.880003:0.767888:0.880003:0.767888:0.863569:0.744658:0.863569:0.000000:0.000000:0.000000
2:@0.748615:0.879448:0.763949:0.879448:0.763949:0.865732:0.748615:0.865732:0.000000
2:@0.808680:0.873887:0.817663:0.873887:0.817663:0.857453:0.808680:0.857453:0.000000
(:@0.772013:0.887866:0.776891:0.887866:0.776891:0.871432:0.772013:0.871432:0.000000
x:@0.776817:0.887866:0.784272:0.887866:0.784272:0.871460:0.776817:0.871460:0.000000
1:@0.784198:0.887311:0.799532:0.887311:0.799532:0.873595:0.784198:0.873595:0.000000
1)(:@0.799440:0.887866:0.818031:0.887866:0.818031:0.871432:0.799440:0.871432:0.000000:0.000000:0.000000
x:@0.817939:0.887866:0.825394:0.887866:0.825394:0.871460:0.817939:0.871460:0.000000
1:@0.825320:0.887311:0.840653:0.887311:0.840653:0.873595:0.825320:0.873595:0.000000
2):@0.840561:0.887866:0.854348:0.887866:0.854348:0.871432:0.840561:0.871432:0.000000:0.000000
El denominador común es (:@0.293663:0.907364:0.498282:0.907364:0.498282:0.890931:0.293663:0.890931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.498352:0.907364:0.505807:0.907364:0.505807:0.890958:0.498352:0.890958:0.000000
1:@0.505807:0.906810:0.521140:0.906810:0.521140:0.893094:0.505807:0.893094:0.000000
2)(:@0.521140:0.907364:0.539879:0.907364:0.539879:0.890931:0.521140:0.890931:0.000000:0.000000:0.000000
x:@0.539897:0.907364:0.547352:0.907364:0.547352:0.890958:0.539897:0.890958:0.000000
2:@0.547352:0.906810:0.562685:0.906810:0.562685:0.893094:0.547352:0.893094:0.000000
3)(:@0.562685:0.907364:0.581424:0.907364:0.581424:0.890931:0.562685:0.890931:0.000000:0.000000:0.000000
x:@0.581442:0.907364:0.588897:0.907364:0.588897:0.890958:0.581442:0.890958:0.000000
1:@0.588897:0.906810:0.604231:0.906810:0.604231:0.893094:0.588897:0.893094:0.000000
1). Para llevarlos al denominador común, las :@0.604231:0.907364:0.930805:0.907364:0.930805:0.890931:0.604231:0.890931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones se multiplican, tanto en el numerador, como en el denominador, por los :@0.293663:0.924006:0.931035:0.924006:0.931035:0.907573:0.293663:0.907573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 7. Operaciones con fracciones algebraicas:@0.073089:0.098522:0.777176:0.098522:0.777176:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplifica la siguiente expresión: :@0.293660:0.182024:0.532498:0.182024:0.532498:0.165590:0.293660:0.165590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.534837:0.175914:0.543820:0.175914:0.543820:0.159480:0.534837:0.159480:0.000000
x:@0.543746:0.175914:0.551201:0.175914:0.551201:0.159508:0.543746:0.159508:0.000000
2:@0.538537:0.189893:0.547520:0.189893:0.547520:0.173460:0.538537:0.173460:0.000000
   :@0.553778:0.182030:0.577008:0.182030:0.577008:0.165596:0.553778:0.165596:0.000000:0.000000:0.000000
1:@0.557736:0.181475:0.573069:0.181475:0.573069:0.167760:0.557736:0.167760:0.000000
5x:@0.579930:0.175914:0.596736:0.175914:0.596736:0.159480:0.579930:0.159480:0.000000:0.000000
6:@0.583832:0.189893:0.592815:0.189893:0.592815:0.173460:0.583832:0.173460:0.000000
a b:@0.091672:0.148396:0.125358:0.148396:0.125358:0.131990:0.091672:0.131990:0.000000:0.000000:0.000000
1:@0.100858:0.147841:0.116191:0.147841:0.116191:0.134126:0.100858:0.134126:0.000000
a:@0.103876:0.162375:0.113135:0.162375:0.113135:0.145969:0.103876:0.145969:0.000000
1:@0.127843:0.153194:0.143176:0.153194:0.143176:0.139479:0.127843:0.139479:0.000000
a:@0.157892:0.148396:0.167150:0.148396:0.167150:0.131990:0.157892:0.131990:0.000000
a b:@0.145669:0.162375:0.179354:0.162375:0.179354:0.145969:0.145669:0.145969:0.000000:0.000000:0.000000
1:@0.154854:0.161820:0.170188:0.161820:0.170188:0.148105:0.154854:0.148105:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.100887:0.239093:0.110738:0.239093:0.110738:0.224337:0.100887:0.224337:0.000000
q:@0.110738:0.239093:0.119051:0.239093:0.119051:0.224362:0.110738:0.224362:0.000000
1:@0.119051:0.241941:0.123753:0.241941:0.123753:0.233339:0.119051:0.233339:0.000000
+:@0.100887:0.283222:0.110738:0.283222:0.110738:0.268466:0.100887:0.268466:0.000000
q:@0.110738:0.283222:0.119051:0.283222:0.119051:0.268491:0.110738:0.268491:0.000000
1:@0.119051:0.286070:0.123753:0.286070:0.123753:0.277468:0.119051:0.277468:0.000000
+:@0.213195:0.239093:0.223046:0.239093:0.223046:0.224337:0.213195:0.224337:0.000000
q:@0.223046:0.239093:0.231359:0.239093:0.231359:0.224362:0.223046:0.224362:0.000000
2:@0.231358:0.241941:0.236060:0.241941:0.236060:0.233339:0.231358:0.233339:0.000000
-:@0.213195:0.285007:0.223112:0.285007:0.223112:0.271390:0.213195:0.271390:0.000000
q:@0.223112:0.283222:0.231425:0.283222:0.231425:0.268491:0.223112:0.268491:0.000000
2:@0.231424:0.286070:0.236126:0.286070:0.236126:0.277468:0.231424:0.277468:0.000000
F:@0.191522:0.274166:0.198744:0.274166:0.198744:0.259435:0.191522:0.259435:0.000000
2:@0.198744:0.277014:0.203446:0.277014:0.203446:0.268412:0.198744:0.268412:0.000000
F:@0.078091:0.231024:0.085314:0.231024:0.085314:0.216293:0.078091:0.216293:0.000000
1:@0.085314:0.233873:0.090016:0.233873:0.090016:0.225270:0.085314:0.225270:0.000000
F:@0.129889:0.274166:0.137112:0.274166:0.137112:0.259435:0.129889:0.259435:0.000000
1:@0.137111:0.277014:0.141814:0.277014:0.141814:0.268412:0.137111:0.268412:0.000000
r:@0.167286:0.306180:0.172029:0.306180:0.172029:0.291449:0.167286:0.291449:0.000000
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