97:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Fracciones equivalentes e irreducibles:@0.096359:0.135482:0.491757:0.135482:0.491757:0.113673:0.096359:0.113673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el curso de Irma, 7 de cada 9 jóvenes practican fútbol. Si hay 36 estudiantes, :@0.096359:0.158264:0.698814:0.158264:0.698814:0.142594:0.096359:0.142594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿cuántos practican fútbol? :@0.096359:0.174860:0.293607:0.174860:0.293607:0.159191:0.096359:0.159191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para saber el total de estudiantes que practican fútbol, buscamos fracciones equi-:@0.096359:0.198579:0.694740:0.198579:0.694740:0.182910:0.096359:0.182910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valentes. Son fracciones equivalentes aquellas que representan la misma parte :@0.096359:0.215176:0.698678:0.215176:0.698678:0.199506:0.096359:0.199506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la unidad o un mismo punto en la semirrecta.:@0.096359:0.231772:0.452505:0.231772:0.452505:0.216102:0.096359:0.216102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.273882:0.100395:0.273882:0.100395:0.258935:0.096359:0.258935:0.000000
  :@0.156673:0.273882:0.164744:0.273882:0.164744:0.258935:0.156673:0.258935:0.000000:0.000000
7:@0.168718:0.265283:0.177710:0.265283:0.177710:0.250336:0.168718:0.250336:0.000000
9:@0.168920:0.285442:0.177913:0.285442:0.177913:0.270494:0.168920:0.270494:0.000000
74:@0.198552:0.265283:0.232883:0.265283:0.232883:0.250336:0.198552:0.250336:0.000000:0.000000
94:@0.198755:0.285442:0.233085:0.285442:0.233085:0.270494:0.198755:0.270494:0.000000:0.000000
28:@0.254296:0.265283:0.272078:0.265283:0.272078:0.250336:0.254296:0.250336:0.000000:0.000000
36:@0.254296:0.285442:0.272078:0.285442:0.272078:0.270494:0.254296:0.270494:0.000000:0.000000
=:@0.183257:0.275217:0.193374:0.275217:0.193374:0.260362:0.183257:0.260362:0.000000
×:@0.210272:0.265917:0.220389:0.265917:0.220389:0.251062:0.210272:0.251062:0.000000
×:@0.210475:0.286075:0.220591:0.286075:0.220591:0.271220:0.210475:0.271220:0.000000
=:@0.238798:0.275204:0.248915:0.275204:0.248915:0.260349:0.238798:0.260349:0.000000
 :@0.276980:0.273882:0.281016:0.273882:0.281016:0.258935:0.276980:0.258935:0.000000
De 36 estudiantes, 28 practican fútbol.:@0.345733:0.273882:0.626254:0.273882:0.626254:0.258935:0.345733:0.258935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracciones equivalentes:@0.096359:0.316849:0.320955:0.316849:0.320955:0.297796:0.096359:0.297796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se obtienen fracciones equivalentes por amplificación y simplificación. :@0.096359:0.397423:0.617526:0.397423:0.617526:0.381753:0.096359:0.381753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El proceso de :@0.096359:0.421142:0.197711:0.421142:0.197711:0.405472:0.096359:0.405472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
amplificación:@0.197085:0.421142:0.304168:0.421142:0.304168:0.404241:0.197085:0.404241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 consiste en multiplicar los dos términos de la fracción :@0.304168:0.421142:0.698701:0.421142:0.698701:0.405472:0.304168:0.405472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por un mismo número distinto de cero.:@0.096359:0.437738:0.384674:0.437738:0.384674:0.422068:0.096359:0.422068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El proceso de :@0.096359:0.461457:0.200549:0.461457:0.200549:0.445787:0.096359:0.445787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplificación:@0.201341:0.461457:0.311465:0.461457:0.311465:0.444556:0.201341:0.444556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 consiste en dividir tanto el numerador como el de-:@0.311465:0.461457:0.694704:0.461457:0.694704:0.445787:0.311465:0.445787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nominador por un mismo número. Cuando no podemos simplificar una fracción, :@0.096359:0.478053:0.698759:0.478053:0.698759:0.462384:0.096359:0.462384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la llamamos fracción:@0.096359:0.494650:0.246710:0.494650:0.246710:0.478980:0.096359:0.478980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 irreducible   irreductible.:@0.246710:0.494650:0.451567:0.494650:0.451567:0.477749:0.246710:0.477749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o:@0.340726:0.494650:0.350530:0.494650:0.350530:0.478980:0.340726:0.478980:0.000000
Ejemplo 2:@0.096359:0.518957:0.165865:0.518957:0.165865:0.504541:0.096359:0.504541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos:@0.096359:0.548269:0.201268:0.548269:0.201268:0.531368:0.096359:0.531368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 dos fracciones equivalentes a   por amplificación y simplificación.:@0.201268:0.548269:0.691652:0.548269:0.691652:0.532599:0.201268:0.532599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.428391:0.538130:0.436485:0.538130:0.436485:0.524027:0.428391:0.524027:0.000000
9:@0.428242:0.557149:0.436336:0.557149:0.436336:0.543047:0.428242:0.543047:0.000000
Solución:@0.096359:0.572564:0.157020:0.572564:0.157020:0.558149:0.096359:0.558149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.602305:0.100395:0.602305:0.100395:0.587358:0.096359:0.587358:0.000000
 :@0.124852:0.602305:0.128888:0.602305:0.128888:0.587358:0.124852:0.587358:0.000000
         Amplificación  :@0.156673:0.602305:0.302122:0.602305:0.302122:0.587358:0.156673:0.587358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.340892:0.602421:0.350825:0.602421:0.350825:0.587131:0.340892:0.587131:0.000000
×:@0.316769:0.593313:0.325874:0.593313:0.325874:0.579297:0.316769:0.579297:0.000000
×:@0.316579:0.612338:0.325684:0.612338:0.325684:0.598323:0.316579:0.598323:0.000000
.:@0.373261:0.601756:0.376409:0.601756:0.376409:0.586371:0.373261:0.586371:0.000000
62:@0.306215:0.592703:0.336449:0.592703:0.336449:0.578600:0.306215:0.578600:0.000000:0.000000
92:@0.306025:0.611728:0.336259:0.611728:0.336259:0.597626:0.306025:0.597626:0.000000:0.000000
12:@0.354791:0.592703:0.370796:0.592703:0.370796:0.578600:0.354791:0.578600:0.000000:0.000000
18:@0.354649:0.611728:0.370653:0.611728:0.370653:0.597626:0.354649:0.597626:0.000000:0.000000
 :@0.374486:0.602305:0.378521:0.602305:0.378521:0.587358:0.374486:0.587358:0.000000
   Simplificación  :@0.397907:0.602305:0.520764:0.602305:0.520764:0.587358:0.397907:0.587358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.582410:0.601866:0.585558:0.601866:0.585558:0.587190:0.582410:0.587190:0.000000
63:@0.522619:0.593230:0.553185:0.593230:0.553185:0.579777:0.522619:0.579777:0.000000:0.000000
93:@0.522469:0.611372:0.553035:0.611372:0.553035:0.597920:0.522469:0.597920:0.000000:0.000000
2:@0.572042:0.593230:0.580135:0.593230:0.580135:0.579777:0.572042:0.579777:0.000000
3:@0.572224:0.611372:0.580317:0.611372:0.580317:0.597920:0.572224:0.597920:0.000000
=:@0.557249:0.602500:0.567182:0.602500:0.567182:0.587915:0.557249:0.587915:0.000000
÷:@0.533503:0.593811:0.542608:0.593811:0.542608:0.580442:0.533503:0.580442:0.000000
÷:@0.533353:0.611954:0.542459:0.611954:0.542459:0.598585:0.533353:0.598585:0.000000
Orden de fracciones con el mismo denominador:@0.096359:0.638984:0.546073:0.638984:0.546073:0.619011:0.096359:0.619011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dadas dos fracciones con el mismo denominador, es menor la fracción que tiene :@0.096359:0.662080:0.698665:0.662080:0.698665:0.646410:0.096359:0.646410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el numerador más pequeño.:@0.096359:0.678676:0.304772:0.678676:0.304772:0.663006:0.096359:0.663006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Orden de fracciones con diferente denominador:@0.096359:0.706047:0.546922:0.706047:0.546922:0.686074:0.096359:0.686074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Buscamos fracciones equivalentes con igual denominador. El denominador será el :@0.096359:0.729143:0.698685:0.729143:0.698685:0.713473:0.096359:0.713473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo común múltiplo de los denominadores. Comparamos los numeradores.:@0.096359:0.745739:0.681800:0.745739:0.681800:0.730069:0.096359:0.730069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.770035:0.165865:0.770035:0.165865:0.755619:0.096359:0.755619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comparamos:@0.096359:0.789566:0.202521:0.789566:0.202521:0.773445:0.096359:0.773445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las fracciones:  :@0.202521:0.789566:0.315427:0.789566:0.315427:0.774619:0.202521:0.774619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.337593:0.789566:0.341629:0.789566:0.341629:0.774619:0.337593:0.774619:0.000000
 :@0.096359:0.822772:0.100395:0.822772:0.100395:0.807825:0.096359:0.807825:0.000000
 :@0.156673:0.822772:0.160708:0.822772:0.160708:0.807825:0.156673:0.807825:0.000000
    :@0.216968:0.822772:0.233110:0.822772:0.233110:0.807825:0.216968:0.807825:0.000000:0.000000:0.000000:0.000000
    a):@0.233110:0.822772:0.263516:0.822772:0.263516:0.806426:0.233110:0.806426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.263516:0.822772:0.267552:0.822772:0.267552:0.807824:0.263516:0.807824:0.000000
;:@0.323016:0.820600:0.326164:0.820600:0.326164:0.805215:0.323016:0.805215:0.000000
11:@0.270292:0.811548:0.286297:0.811548:0.286297:0.797445:0.270292:0.797445:0.000000:0.000000
8:@0.273394:0.830567:0.281487:0.830567:0.281487:0.816464:0.273394:0.816464:0.000000
;:@0.286910:0.820310:0.289796:0.820310:0.289796:0.806208:0.286910:0.806208:0.000000
5 15:@0.311887:0.811535:0.350464:0.811535:0.350464:0.797432:0.311887:0.797432:0.000000:0.000000:0.000000:0.000000
8:@0.311556:0.830555:0.319649:0.830555:0.319649:0.816452:0.311556:0.816452:0.000000
8:@0.338605:0.830555:0.346699:0.830555:0.346699:0.816452:0.338605:0.816452:0.000000
−:@0.298553:0.820908:0.307658:0.820908:0.307658:0.806892:0.298553:0.806892:0.000000
b):@0.458212:0.822767:0.474871:0.822767:0.474871:0.806421:0.458212:0.806421:0.000000:0.000000
 :@0.474871:0.822767:0.478907:0.822767:0.478907:0.807820:0.474871:0.807820:0.000000
y:@0.506610:0.820317:0.513344:0.820317:0.513344:0.805592:0.506610:0.805592:0.000000
8:@0.494122:0.811542:0.502215:0.811542:0.502215:0.797439:0.494122:0.797439:0.000000
9:@0.494122:0.830561:0.502215:0.830561:0.502215:0.816459:0.494122:0.816459:0.000000
4:@0.530492:0.811542:0.538586:0.811542:0.538586:0.797439:0.530492:0.797439:0.000000
5:@0.530675:0.830561:0.538768:0.830561:0.538768:0.816459:0.530675:0.816459:0.000000
−:@0.481590:0.820927:0.455453:0.820927:0.455453:0.806912:0.481590:0.806912:0.000000
−:@0.516833:0.820927:0.490695:0.820927:0.490695:0.806912:0.516833:0.806912:0.000000
Solución:@0.096359:0.847057:0.157020:0.847057:0.157020:0.832641:0.096359:0.832641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       a)   :@0.096359:0.874968:0.149099:0.874968:0.149099:0.857833:0.096359:0.857833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comparamos:@0.149099:0.874968:0.255259:0.874968:0.255259:0.858068:0.149099:0.858068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los numeradores: –5 < 11 < 15, por lo tanto: :@0.255259:0.874968:0.582808:0.874968:0.582808:0.859299:0.255259:0.859299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.582805:0.874809:0.590876:0.874809:0.590876:0.859862:0.582805:0.859862:0.000000:0.000000
5:@0.606424:0.866104:0.614518:0.866104:0.614518:0.852002:0.606424:0.852002:0.000000
8:@0.606094:0.885129:0.614188:0.885129:0.614188:0.871026:0.606094:0.871026:0.000000
11 15:@0.631585:0.866104:0.678214:0.866104:0.678214:0.852002:0.631585:0.852002:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.634694:0.885129:0.642787:0.885129:0.642787:0.871026:0.634694:0.871026:0.000000
8:@0.666356:0.885129:0.674449:0.885129:0.674449:0.871026:0.666356:0.871026:0.000000
−<:@0.593562:0.875484:0.628108:0.875484:0.628108:0.861468:0.593562:0.861468:0.000000:0.000000
<:@0.649635:0.875484:0.658740:0.875484:0.658740:0.861468:0.649635:0.861468:0.000000
      :@0.096359:0.913369:0.120573:0.913369:0.120573:0.898422:0.096359:0.898422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)   :@0.120573:0.913528:0.148399:0.913528:0.148399:0.896393:0.120573:0.896393:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.319692:0.912586:0.327854:0.912586:0.327854:0.894737:0.319692:0.894737:0.000000
mcm45;:@0.150230:0.912271:0.227294:0.912271:0.227294:0.896601:0.150230:0.896601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.251840:0.902521:0.260832:0.902521:0.260832:0.886851:0.251840:0.886851:0.000000
9:@0.251840:0.923654:0.260832:0.923654:0.260832:0.907984:0.251840:0.907984:0.000000
40:@0.296914:0.902521:0.314696:0.902521:0.314696:0.886851:0.296914:0.886851:0.000000:0.000000
45:@0.297282:0.923654:0.315065:0.923654:0.315065:0.907984:0.297282:0.907984:0.000000:0.000000
4:@0.347848:0.902521:0.356840:0.902521:0.356840:0.886851:0.347848:0.886851:0.000000
5:@0.348050:0.923654:0.357043:0.923654:0.357043:0.907984:0.348050:0.907984:0.000000
36:@0.392553:0.902521:0.410336:0.902521:0.410336:0.886851:0.392553:0.886851:0.000000:0.000000
45:@0.393290:0.923654:0.411073:0.923654:0.411073:0.907984:0.393290:0.907984:0.000000:0.000000
40:@0.438051:0.902521:0.455834:0.902521:0.455834:0.886851:0.438051:0.886851:0.000000:0.000000
45:@0.438419:0.923654:0.456202:0.923654:0.456202:0.907984:0.438419:0.907984:0.000000:0.000000
36:@0.489888:0.902521:0.507671:0.902521:0.507671:0.886851:0.489888:0.886851:0.000000:0.000000
45:@0.490625:0.923654:0.508408:0.923654:0.508408:0.907984:0.490625:0.907984:0.000000:0.000000
=−:@0.266136:0.913325:0.292350:0.913325:0.292350:0.896336:0.266136:0.896336:0.000000:0.000000
−= −:@0.331732:0.913325:0.388723:0.913325:0.388723:0.896336:0.331732:0.896336:0.000000:0.000000:0.000000:0.000000
−:@0.421933:0.913325:0.432970:0.913325:0.432970:0.896336:0.421933:0.896336:0.000000
<:@0.461134:0.913325:0.472170:0.913325:0.472170:0.896336:0.461134:0.896336:0.000000
=:@0.191797:0.912949:0.201914:0.912949:0.201914:0.897376:0.191797:0.897376:0.000000
−:@0.237387:0.912949:0.247504:0.912949:0.247504:0.897376:0.237387:0.897376:0.000000
−:@0.475952:0.912949:0.486068:0.912949:0.486068:0.897376:0.475952:0.897376:0.000000
Shutterstock, 372782428.:@0.920815:0.272360:0.920815:0.197081:0.909426:0.197081:0.909426:0.272360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando una persona :@0.733044:0.372410:0.876528:0.372410:0.876528:0.358165:0.733044:0.358165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tiene pulso firme, :@0.733044:0.387498:0.874129:0.387498:0.874129:0.373252:0.733044:0.373252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede mejorarlo :@0.733044:0.402585:0.848315:0.402585:0.848315:0.388340:0.733044:0.388340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizando ejercicios :@0.733044:0.417673:0.870981:0.417673:0.870981:0.403428:0.733044:0.403428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con sus dos manos :@0.733044:0.432760:0.864215:0.432760:0.864215:0.418515:0.733044:0.418515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre una mesa, :@0.733044:0.447848:0.845436:0.447848:0.845436:0.433603:0.733044:0.433603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simultáneamente, :@0.733044:0.462936:0.856893:0.462936:0.856893:0.448690:0.733044:0.448690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formando círculos.:@0.733044:0.478023:0.856692:0.478023:0.856692:0.463778:0.733044:0.463778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DFA:@0.765616:0.347900:0.797974:0.347900:0.797974:0.331000:0.765616:0.331000:0.000000:0.000000:0.000000
Fracciones equivalentes son aquellas que representan la misma parte de la unidad.:@0.120291:0.355067:0.670765:0.355067:0.670765:0.340822:0.120291:0.340822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
También se pueden :@0.733044:0.560273:0.868839:0.560273:0.868839:0.546028:0.733044:0.546028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comparar dos :@0.733044:0.575361:0.829102:0.575361:0.829102:0.561116:0.733044:0.561116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones, comparando :@0.733044:0.590449:0.897268:0.590449:0.897268:0.576203:0.733044:0.576203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus productos cruzados; :@0.733044:0.605536:0.897115:0.605536:0.897115:0.591291:0.733044:0.591291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así::@0.733044:0.620624:0.753314:0.620624:0.753314:0.606379:0.733044:0.606379:0.000000:0.000000:0.000000:0.000000
3:@0.747084:0.642223:0.755177:0.642223:0.755177:0.628120:0.747084:0.628120:0.000000
7:@0.746565:0.659798:0.754658:0.659798:0.754658:0.645695:0.746565:0.645695:0.000000
y:@0.761508:0.649927:0.768805:0.649927:0.768805:0.635824:0.761508:0.635824:0.000000
5:@0.787039:0.642223:0.795132:0.642223:0.795132:0.628120:0.787039:0.628120:0.000000
9:@0.786708:0.659798:0.794802:0.659798:0.794802:0.645695:0.786708:0.645695:0.000000
39:@0.751416:0.676240:0.774021:0.676240:0.774021:0.662138:0.751416:0.662138:0.000000:0.000000
75:@0.810219:0.676241:0.833537:0.676241:0.833537:0.662138:0.810219:0.662138:0.000000:0.000000
(:@0.745623:0.679059:0.751146:0.679059:0.751146:0.661119:0.745623:0.661119:0.000000
):@0.774514:0.679059:0.780037:0.679059:0.780037:0.661119:0.774514:0.661119:0.000000
(:@0.804801:0.679059:0.810324:0.679059:0.810324:0.661119:0.804801:0.661119:0.000000
):@0.833310:0.679059:0.838833:0.679059:0.838833:0.661119:0.833310:0.661119:0.000000
−:@0.735399:0.650541:0.744504:0.650541:0.744504:0.636526:0.735399:0.636526:0.000000
−:@0.774656:0.650541:0.783761:0.650541:0.783761:0.636526:0.774656:0.636526:0.000000
−⋅:@0.735399:0.676855:0.764522:0.676855:0.764522:0.662839:0.735399:0.662839:0.000000:0.000000
>− ⋅:@0.782799:0.676855:0.824029:0.676855:0.824029:0.662839:0.782799:0.662839:0.000000:0.000000:0.000000:0.000000
Entonces :@0.733044:0.704409:0.798311:0.704409:0.798311:0.690164:0.733044:0.690164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.812350:0.696794:0.820443:0.696794:0.820443:0.682691:0.812350:0.682691:0.000000
7:@0.811832:0.714368:0.819925:0.714368:0.819925:0.700265:0.811832:0.700265:0.000000
>:@0.826767:0.704503:0.836651:0.704503:0.836651:0.690401:0.826767:0.690401:0.000000
5:@0.850566:0.696799:0.858660:0.696799:0.858660:0.682696:0.850566:0.682696:0.000000
9:@0.850232:0.714368:0.858325:0.714368:0.858325:0.700265:0.850232:0.700265:0.000000
−:@0.800660:0.705107:0.772266:0.705107:0.772266:0.691092:0.800660:0.691092:0.000000
−:@0.838158:0.705107:0.809765:0.705107:0.809765:0.691092:0.838158:0.691092:0.000000
¿Sabías que?:@0.765616:0.535762:0.867484:0.535762:0.867484:0.518862:0.765616:0.518862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.770807:0.791181:0.859846:0.791181:0.859846:0.775816:0.770807:0.775816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Astronomía:@0.765296:0.806268:0.861890:0.806268:0.861890:0.790904:0.765296:0.790904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números racionales :@0.733047:0.821356:0.893014:0.821356:0.893014:0.807111:0.733047:0.807111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten registrar con :@0.733047:0.836443:0.885526:0.836443:0.885526:0.822198:0.733047:0.822198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor exactitud los :@0.733047:0.851531:0.867534:0.851531:0.867534:0.837286:0.733047:0.837286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
datos de la ocurrencia :@0.733047:0.866619:0.883851:0.866619:0.883851:0.852373:0.733047:0.852373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un fenómeno :@0.733047:0.881706:0.849056:0.881706:0.849056:0.867461:0.733047:0.867461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atmosférico o el paso :@0.733047:0.896794:0.879193:0.896794:0.879193:0.882549:0.733047:0.882549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de algún cometa cerca :@0.733047:0.911881:0.889546:0.911881:0.889546:0.897636:0.733047:0.897636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del planeta Tierra.:@0.733047:0.926969:0.850616:0.926969:0.850616:0.912724:0.733047:0.912724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.745640:0.769149:0.898519:0.769149:0.898519:0.752248:0.745640:0.752248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000