55:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracciones equivalentes e irreducibles:@0.096359:0.108702:0.479770:0.108702:0.479770:0.087193:0.096359:0.087193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el curso de Irma, 7 de cada 9 jóvenes practican fútbol. Si hay 36 estudiantes, :@0.096359:0.138611:0.716503:0.138611:0.716503:0.122222:0.096359:0.122222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿cuántos practican fútbol? :@0.096359:0.155208:0.293607:0.155208:0.293607:0.138819:0.096359:0.138819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para  saber  el total  de  estudiantes que  practican fútbol, buscamos  fracciones :@0.096359:0.178927:0.716575:0.178927:0.716575:0.162538:0.096359:0.162538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalentes. :@0.096359:0.195523:0.196770:0.195523:0.196770:0.179134:0.096359:0.179134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.223499:0.100395:0.223499:0.100395:0.207866:0.096359:0.207866:0.000000
  :@0.156667:0.223499:0.164739:0.223499:0.164739:0.207866:0.156667:0.207866:0.000000:0.000000
7:@0.168718:0.214901:0.177710:0.214901:0.177710:0.199267:0.168718:0.199267:0.000000
9:@0.168920:0.235059:0.177913:0.235059:0.177913:0.219426:0.168920:0.219426:0.000000
74:@0.198552:0.214901:0.232883:0.214901:0.232883:0.199267:0.198552:0.199267:0.000000:0.000000
94:@0.198755:0.235059:0.233085:0.235059:0.233085:0.219426:0.198755:0.219426:0.000000:0.000000
28:@0.254296:0.214901:0.272078:0.214901:0.272078:0.199267:0.254296:0.199267:0.000000:0.000000
36:@0.254296:0.235059:0.272078:0.235059:0.272078:0.219426:0.254296:0.219426:0.000000:0.000000
=:@0.183257:0.224835:0.193374:0.224835:0.193374:0.209980:0.183257:0.209980:0.000000
×:@0.210272:0.215534:0.220389:0.215534:0.220389:0.200679:0.210272:0.200679:0.000000
×:@0.210475:0.235692:0.220591:0.235692:0.220591:0.220837:0.210475:0.220837:0.000000
=:@0.238798:0.224822:0.248915:0.224822:0.248915:0.209967:0.238798:0.209967:0.000000
           De 36 estudiantes, 28 practican fútbol.:@0.354403:0.223499:0.679315:0.223499:0.679315:0.207866:0.354403:0.207866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracciones equivalentes:@0.096359:0.266465:0.320955:0.266465:0.320955:0.247413:0.096359:0.247413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se obtienen fracciones equivalentes por amplificación y simplificación. :@0.096359:0.358060:0.617047:0.358060:0.617047:0.341672:0.096359:0.341672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El proceso de :@0.096359:0.381779:0.200604:0.381779:0.200604:0.365391:0.096359:0.365391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
amplificación:@0.201452:0.381779:0.308830:0.381779:0.308830:0.364879:0.201452:0.364879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 consiste en multiplicar los dos términos de la fracción :@0.308830:0.381779:0.716630:0.381779:0.716630:0.365391:0.308830:0.365391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por un mismo número distinto de cero.:@0.096359:0.398376:0.384674:0.398376:0.384674:0.381987:0.096359:0.381987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El proceso de :@0.096359:0.422095:0.200162:0.422095:0.200162:0.405706:0.096359:0.405706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simplificación:@0.200789:0.422095:0.311207:0.422095:0.311207:0.405194:0.200789:0.405194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 consiste en dividir tanto el numerador como el deno-:@0.311207:0.422095:0.712449:0.422095:0.712449:0.405706:0.311207:0.405706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minador por un mismo número. Las fracciones en las que el numerador y el denomi-:@0.096359:0.438691:0.712524:0.438691:0.712524:0.422302:0.096359:0.422302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nador no comparten ningún factor común mayor que 1, es decir aquellas que no se :@0.096359:0.455288:0.716447:0.455288:0.716447:0.438899:0.096359:0.438899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden simplificar más se conocen como fracciones irreductibles.:@0.096359:0.471884:0.579250:0.471884:0.579250:0.455495:0.096359:0.455495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.096359:0.497664:0.159842:0.497664:0.159842:0.481026:0.096359:0.481026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos fracciones equivalentes a   por amplificación y simplificación.:@0.096359:0.522945:0.653155:0.522962:0.653155:0.506573:0.096359:0.506557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.390375:0.512824:0.398469:0.512824:0.398469:0.498074:0.390375:0.498074:0.000000
9:@0.390226:0.531844:0.398319:0.531844:0.398319:0.517094:0.390226:0.517094:0.000000
Solución:@0.096364:0.546681:0.160142:0.546681:0.160142:0.530043:0.096364:0.530043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.570517:0.100395:0.570517:0.100395:0.554884:0.096359:0.554884:0.000000
 :@0.156667:0.570517:0.160703:0.570517:0.160703:0.554884:0.156667:0.554884:0.000000
         Amplificación  :@0.216977:0.570517:0.362187:0.570517:0.362187:0.554884:0.216977:0.554884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.400961:0.573196:0.410894:0.573196:0.410894:0.557906:0.400961:0.557906:0.000000
×:@0.376838:0.564088:0.385943:0.564088:0.385943:0.550073:0.376838:0.550073:0.000000
×:@0.376648:0.583112:0.385753:0.583112:0.385753:0.569097:0.376648:0.569097:0.000000
.:@0.433328:0.572531:0.436477:0.572531:0.436477:0.556440:0.433328:0.556440:0.000000
62:@0.366284:0.563478:0.396518:0.563478:0.396518:0.548728:0.366284:0.548728:0.000000:0.000000
92:@0.366094:0.582503:0.396329:0.582503:0.396329:0.567752:0.366094:0.567752:0.000000:0.000000
12:@0.414859:0.563478:0.430863:0.563478:0.430863:0.548728:0.414859:0.548728:0.000000:0.000000
18:@0.414718:0.582503:0.430723:0.582503:0.430723:0.567752:0.414718:0.567752:0.000000:0.000000
 :@0.434555:0.570517:0.438590:0.570517:0.438590:0.554884:0.434555:0.554884:0.000000
   Simplificación  :@0.458212:0.570517:0.580830:0.570517:0.580830:0.554884:0.458212:0.554884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.642718:0.572129:0.645866:0.572129:0.645866:0.556780:0.642718:0.556780:0.000000
63:@0.582927:0.563493:0.613493:0.563493:0.613493:0.549423:0.582927:0.549423:0.000000:0.000000
93:@0.582778:0.581636:0.613344:0.581636:0.613344:0.567566:0.582778:0.567566:0.000000:0.000000
2:@0.632350:0.563493:0.640444:0.563493:0.640444:0.549423:0.632350:0.549423:0.000000
3:@0.632533:0.581636:0.640626:0.581636:0.640626:0.567566:0.632533:0.567566:0.000000
=:@0.617558:0.572764:0.627491:0.572764:0.627491:0.558179:0.617558:0.558179:0.000000
÷:@0.593811:0.564075:0.602916:0.564075:0.602916:0.550706:0.593811:0.550706:0.000000
÷:@0.593662:0.582217:0.602767:0.582217:0.602767:0.568848:0.593662:0.568848:0.000000
Comparación de fracciones con el mismo denominador:@0.096359:0.612500:0.572793:0.612500:0.572793:0.594063:0.096359:0.594063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entre dos o mas fracciones que tienen igual denominador es mayor la de mayor :@0.096359:0.638551:0.716541:0.638551:0.716541:0.622917:0.096359:0.622917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerador. :@0.096359:0.654382:0.185529:0.654382:0.185529:0.638749:0.096359:0.638749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comparación de fracciones con diferente denominador:@0.096359:0.690780:0.573577:0.690780:0.573577:0.672343:0.096359:0.672343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Buscamos fracciones equivalentes con igual denominador. El denominador será el :@0.096359:0.717754:0.716541:0.717754:0.716541:0.701365:0.096359:0.701365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo común múltiplo de los denominadores. Comparamos los numeradores.:@0.096359:0.734351:0.681800:0.734351:0.681800:0.717962:0.096359:0.717962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.096359:0.756562:0.166716:0.756562:0.166716:0.739924:0.096359:0.739924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Comparamos las fracciones y ordenamos en forma ascendente.    :@0.096359:0.775638:0.582865:0.775638:0.582865:0.760005:0.096359:0.760005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.808844:0.111267:0.808844:0.111267:0.792722:0.096359:0.792722:0.000000:0.000000
;:@0.170758:0.806672:0.173906:0.806672:0.173906:0.790581:0.170758:0.790581:0.000000
11:@0.118035:0.797619:0.134040:0.797619:0.134040:0.782869:0.118035:0.782869:0.000000:0.000000
8:@0.121137:0.816639:0.129230:0.816639:0.129230:0.801889:0.121137:0.801889:0.000000
;:@0.134667:0.806389:0.137552:0.806389:0.137552:0.791639:0.134667:0.791639:0.000000
5 15:@0.159639:0.797619:0.198216:0.797619:0.198216:0.782869:0.159639:0.782869:0.000000:0.000000:0.000000:0.000000
8:@0.159308:0.816639:0.167401:0.816639:0.167401:0.801889:0.159308:0.801889:0.000000
8:@0.186358:0.816639:0.194451:0.816639:0.194451:0.801889:0.186358:0.801889:0.000000
−:@0.146305:0.806999:0.155410:0.806999:0.155410:0.792983:0.146305:0.792983:0.000000
   :@0.208436:0.808838:0.221013:0.808838:0.221013:0.793205:0.208436:0.793205:0.000000:0.000000:0.000000
b):@0.277281:0.808838:0.293498:0.808838:0.293498:0.792717:0.277281:0.792717:0.000000:0.000000
y:@0.325242:0.806389:0.331975:0.806389:0.331975:0.791664:0.325242:0.791664:0.000000
8:@0.312755:0.797619:0.320848:0.797619:0.320848:0.782869:0.312755:0.782869:0.000000
9:@0.312755:0.816639:0.320848:0.816639:0.320848:0.801889:0.312755:0.801889:0.000000
4:@0.349125:0.797619:0.357219:0.797619:0.357219:0.782869:0.349125:0.782869:0.000000
5:@0.349308:0.816639:0.357401:0.816639:0.357401:0.801889:0.349308:0.801889:0.000000
−:@0.300217:0.806992:0.274079:0.806992:0.274079:0.792976:0.300217:0.792976:0.000000
−:@0.335459:0.806992:0.309322:0.806992:0.309322:0.792976:0.335459:0.792976:0.000000
Solución:@0.096359:0.846814:0.160137:0.846814:0.160137:0.830176:0.096359:0.830176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a)   :@0.096359:0.872635:0.122711:0.872635:0.122711:0.855734:0.096359:0.855734:0.000000:0.000000:0.000000:0.000000:0.000000
Comparamos los numeradores: –5 < 11 < 15, por lo tanto::@0.122711:0.872635:0.545621:0.872635:0.545621:0.856246:0.122711:0.856246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.562548:0.863372:0.571361:0.863372:0.571361:0.847311:0.562548:0.847311:0.000000
8:@0.562188:0.884088:0.571001:0.884088:0.571001:0.868026:0.562188:0.868026:0.000000
11 15:@0.589943:0.863372:0.640719:0.863372:0.640719:0.847311:0.589943:0.847311:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.593331:0.884088:0.602143:0.884088:0.602143:0.868026:0.593331:0.868026:0.000000
8:@0.627807:0.884088:0.636620:0.884088:0.636620:0.868026:0.627807:0.868026:0.000000
−<:@0.548541:0.873586:0.586158:0.873586:0.586158:0.858324:0.548541:0.858324:0.000000:0.000000
<:@0.609599:0.873586:0.619514:0.873586:0.619514:0.858324:0.609599:0.858324:0.000000
b) :@0.096359:0.907629:0.116390:0.907629:0.116390:0.890729:0.096359:0.890729:0.000000:0.000000:0.000000
mcm (9 y 5) = 45;:@0.121495:0.907629:0.248111:0.907629:0.248111:0.891240:0.121495:0.891240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.323444:0.907869:0.331606:0.907869:0.331606:0.890021:0.323444:0.890021:0.000000
mcm45;:@0.153984:0.907555:0.231048:0.907555:0.231048:0.891166:0.153984:0.891166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.255594:0.897805:0.264587:0.897805:0.264587:0.881416:0.255594:0.881416:0.000000
9:@0.255599:0.918949:0.264592:0.918949:0.264592:0.902560:0.255599:0.902560:0.000000
40:@0.300673:0.897811:0.318456:0.897811:0.318456:0.881422:0.300673:0.881422:0.000000:0.000000
45:@0.301040:0.918949:0.318822:0.918949:0.318822:0.902560:0.301040:0.902560:0.000000:0.000000
4:@0.351610:0.897811:0.360603:0.897811:0.360603:0.881422:0.351610:0.881422:0.000000
5:@0.351820:0.918949:0.360812:0.918949:0.360812:0.902560:0.351820:0.902560:0.000000
36:@0.396317:0.897811:0.414100:0.897811:0.414100:0.881422:0.396317:0.881422:0.000000:0.000000
45:@0.397051:0.918949:0.414834:0.918949:0.414834:0.902560:0.397051:0.902560:0.000000:0.000000
40:@0.441812:0.897811:0.459594:0.897811:0.459594:0.881422:0.441812:0.881422:0.000000:0.000000
45:@0.442177:0.918949:0.459960:0.918949:0.459960:0.902560:0.442177:0.902560:0.000000:0.000000
36:@0.493639:0.897811:0.511421:0.897811:0.511421:0.881422:0.493639:0.881422:0.000000:0.000000
45:@0.494372:0.918949:0.512155:0.918949:0.512155:0.902560:0.494372:0.902560:0.000000:0.000000
=−:@0.269890:0.908609:0.296104:0.908609:0.296104:0.891620:0.269890:0.891620:0.000000:0.000000
−= −:@0.335486:0.908609:0.392478:0.908609:0.392478:0.891620:0.335486:0.891620:0.000000:0.000000:0.000000:0.000000
−:@0.425688:0.908609:0.436724:0.908609:0.436724:0.891620:0.425688:0.891620:0.000000
<:@0.464888:0.908609:0.475925:0.908609:0.475925:0.891620:0.464888:0.891620:0.000000
=:@0.195552:0.908233:0.205668:0.908233:0.205668:0.892660:0.195552:0.892660:0.000000
−:@0.241142:0.908233:0.251258:0.908233:0.251258:0.892660:0.241142:0.892660:0.000000
−:@0.479714:0.908233:0.489831:0.908233:0.489831:0.892660:0.479714:0.892660:0.000000
8:@0.540199:0.898047:0.549060:0.898047:0.549060:0.881898:0.540199:0.881898:0.000000
9:@0.540922:0.918875:0.549783:0.918875:0.549783:0.902726:0.540922:0.902726:0.000000
<:@0.555179:0.908208:0.566053:0.908208:0.566053:0.891468:0.555179:0.891468:0.000000
−:@0.526478:0.908315:0.536447:0.908315:0.536447:0.892971:0.526478:0.892971:0.000000
4:@0.582785:0.898047:0.591646:0.898047:0.591646:0.881898:0.582785:0.881898:0.000000
5:@0.583509:0.918875:0.592370:0.918875:0.592370:0.902726:0.583509:0.902726:0.000000
−:@0.569055:0.908314:0.579024:0.908314:0.579024:0.892969:0.569055:0.892969:0.000000
;:@0.417162:0.907629:0.420369:0.907629:0.420369:0.891240:0.417162:0.891240:0.000000
;:@0.514631:0.907571:0.517791:0.907571:0.517791:0.891422:0.514631:0.891422:0.000000
Fracciones equivalentes son aquellas que representan la misma parte de la unidad.:@0.111244:0.312780:0.699086:0.312780:0.699086:0.296391:0.111244:0.296391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.750200:0.746790:0.907406:0.746790:0.907406:0.729890:0.750200:0.729890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática:@0.755005:0.774872:0.840576:0.774872:0.840576:0.759508:0.755005:0.759508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y astronomía:@0.755005:0.789960:0.849522:0.789960:0.849522:0.774595:0.755005:0.774595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números racionales :@0.755005:0.808605:0.914972:0.808605:0.914972:0.793706:0.755005:0.793706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten registrar con :@0.755005:0.823693:0.907483:0.823693:0.907483:0.808794:0.755005:0.808794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor exactitud los datos :@0.755005:0.838781:0.930114:0.838781:0.930114:0.823882:0.755005:0.823882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la ocurrencia de un :@0.755005:0.853868:0.907634:0.853868:0.907634:0.838969:0.755005:0.838969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fenómeno atmosférico o :@0.755005:0.868956:0.923683:0.868956:0.923683:0.854057:0.755005:0.854057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el paso de algún cometa :@0.755005:0.884044:0.923433:0.884044:0.923433:0.869145:0.755005:0.869145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cerca del planeta Tierra.:@0.755005:0.899131:0.911671:0.899131:0.911671:0.884232:0.755005:0.884232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces :@0.766756:0.636230:0.832024:0.636230:0.832024:0.621330:0.766756:0.621330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.846062:0.629902:0.854156:0.629902:0.854156:0.615151:0.846062:0.615151:0.000000
7:@0.845545:0.647476:0.853638:0.647476:0.853638:0.632726:0.845545:0.632726:0.000000
>:@0.860481:0.637610:0.870366:0.637610:0.870366:0.622860:0.860481:0.622860:0.000000
5:@0.884280:0.629905:0.892374:0.629905:0.892374:0.615155:0.884280:0.615155:0.000000
9:@0.883944:0.647476:0.892038:0.647476:0.892038:0.632726:0.883944:0.632726:0.000000
−:@0.834372:0.638215:0.805979:0.638215:0.805979:0.624200:0.834372:0.624200:0.000000
−:@0.871871:0.638215:0.843477:0.638215:0.843477:0.624200:0.871871:0.624200:0.000000
. :@0.896854:0.636230:0.903438:0.636230:0.903438:0.621330:0.896854:0.621330:0.000000:0.000000
Un ejemplo de uso de :@0.755011:0.163296:0.906620:0.163296:0.906620:0.148397:0.755011:0.148397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales: te dejan de :@0.755011:0.178383:0.907389:0.178383:0.907389:0.163484:0.755011:0.163484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
herencia 1/3 de un :@0.755011:0.193471:0.884574:0.193471:0.884574:0.178572:0.755011:0.178572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terreno. Deberás aprender :@0.755011:0.208559:0.933791:0.208559:0.933791:0.193660:0.755011:0.193660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a dividirlo :@0.755011:0.223646:0.823797:0.223646:0.823797:0.208747:0.755011:0.208747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equitativamente, sin :@0.755011:0.238734:0.894088:0.238734:0.894088:0.223835:0.755011:0.223835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perjudicar a los otros :@0.755011:0.253821:0.897438:0.253821:0.897438:0.238922:0.755011:0.238922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
herederos.:@0.755011:0.268909:0.824886:0.268909:0.824886:0.254010:0.755011:0.254010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Ética e integridad:@0.770087:0.130859:0.912938:0.130859:0.912938:0.113958:0.770087:0.113958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.959992:0.324428:0.959992:0.319321:0.947910:0.319321:0.947910:0.324428:0.000000
Shutterstock:@0.959992:0.319321:0.959992:0.281602:0.948081:0.281602:0.948081:0.319321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
También se pueden :@0.755005:0.502270:0.890799:0.502270:0.890799:0.487371:0.755005:0.487371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comparar dos fracciones, :@0.755005:0.517358:0.925107:0.517358:0.925107:0.502459:0.755005:0.502459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comparando sus :@0.755005:0.532446:0.870244:0.532446:0.870244:0.517547:0.755005:0.517547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productos cruzados; así::@0.755005:0.547533:0.914286:0.547533:0.914286:0.532634:0.755005:0.532634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.769046:0.568954:0.777140:0.568954:0.777140:0.554204:0.769046:0.554204:0.000000
7:@0.768532:0.586529:0.776626:0.586529:0.776626:0.571779:0.768532:0.571779:0.000000
y:@0.783475:0.576659:0.790773:0.576659:0.790773:0.561909:0.783475:0.561909:0.000000
5:@0.809016:0.568954:0.817109:0.568954:0.817109:0.554204:0.809016:0.554204:0.000000
9:@0.808684:0.586529:0.816778:0.586529:0.816778:0.571779:0.808684:0.571779:0.000000
39:@0.773392:0.602972:0.795997:0.602972:0.795997:0.588222:0.773392:0.588222:0.000000:0.000000
75:@0.832181:0.602973:0.855500:0.602973:0.855500:0.588223:0.832181:0.588223:0.000000:0.000000
(:@0.767586:0.605791:0.773108:0.605791:0.773108:0.587851:0.767586:0.587851:0.000000
):@0.796476:0.605791:0.801999:0.605791:0.801999:0.587851:0.796476:0.587851:0.000000
(:@0.826763:0.605791:0.832286:0.605791:0.832286:0.587851:0.826763:0.587851:0.000000
):@0.855273:0.605791:0.860796:0.605791:0.860796:0.587851:0.855273:0.587851:0.000000
−:@0.757362:0.577274:0.766467:0.577274:0.766467:0.563258:0.757362:0.563258:0.000000
−:@0.796618:0.577274:0.805723:0.577274:0.805723:0.563258:0.796618:0.563258:0.000000
−⋅:@0.757362:0.603587:0.786485:0.603587:0.786485:0.589571:0.757362:0.589571:0.000000:0.000000
>− ⋅:@0.804761:0.603587:0.845991:0.603587:0.845991:0.589571:0.804761:0.589571:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775870:0.469828:0.883411:0.469828:0.883411:0.452928:0.775870:0.452928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000