﻿59:@0.942817:0.964671:0.965053:0.964671:0.965053:0.945025:0.942817:0.945025:0.000000:0.000000
M.3.1.41. Realizar cálculos combinados de sumas, restas, multiplicaciones y divisiones con fracciones. :@0.105857:0.073981:0.597609:0.073981:0.597609:0.063402:0.105857:0.063402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.1.43. Resolver y plantear problemas que contienen combinaciones de sumas, restas, multiplicaciones y divisiones con números naturales, fracciones y :@0.105857:0.084542:0.853954:0.084542:0.853954:0.073963:0.105857:0.073963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimales, e interpretar la solución dentro del contexto del problema.:@0.105857:0.095104:0.444753:0.095104:0.444753:0.084525:0.105857:0.084525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones combinadas con números decimales:@0.096359:0.136779:0.560250:0.136779:0.560250:0.116806:0.096359:0.116806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Liliana compró 5 botellas de agua en $ 0,85 cada una y 5 paquetes de :@0.096359:0.161698:0.699142:0.161698:0.699142:0.144603:0.096359:0.144603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
galletas en $ 1,25 cada uno. ¿Cuánto dinero gastó en total? :@0.096359:0.179803:0.569977:0.179803:0.569977:0.162709:0.096359:0.162709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para conocer cuánto dinero gastó, se plantea una operación combinada.:@0.096359:0.197908:0.675479:0.197908:0.675479:0.180814:0.096359:0.180814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como son 5 botellas y 5 paquetes, se puede plantear así: 5:@0.096359:0.221037:0.564607:0.221042:0.564607:0.203948:0.096359:0.203943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,851,25:@0.587142:0.221042:0.668177:0.221042:0.668177:0.203948:0.587142:0.203948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.579716:0.223764:0.586410:0.223764:0.586410:0.201678:0.579716:0.201678:0.000000
):@0.668289:0.223764:0.674983:0.223764:0.674983:0.201678:0.668289:0.201678:0.000000
×:@0.566418:0.221782:0.577454:0.221782:0.577454:0.204793:0.566418:0.204793:0.000000
+:@0.624013:0.221782:0.635049:0.221782:0.635049:0.204793:0.624013:0.204793:0.000000
=:@0.678029:0.221782:0.689065:0.221782:0.689065:0.204793:0.678029:0.204793:0.000000
Primero se resuelve el paréntesis y luego se realiza la multiplicación.    :@0.096352:0.246269:0.652344:0.246275:0.652344:0.229181:0.096352:0.229175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        52,1010,50:@0.096359:0.264380:0.254669:0.264380:0.254669:0.247286:0.096359:0.247286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.145712:0.265120:0.156748:0.265120:0.156748:0.248131:0.145712:0.248131:0.000000
=:@0.196491:0.265120:0.207528:0.265120:0.207528:0.248131:0.196491:0.248131:0.000000
Liliana gastó en total $ 10,50.:@0.096359:0.287515:0.326374:0.287515:0.326374:0.270420:0.096359:0.270420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.453242:0.172815:0.453242:0.172815:0.436618:0.096359:0.436618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver los siguientes ejercicios.:@0.096359:0.478790:0.357793:0.478790:0.357793:0.461696:0.096359:0.461696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.501920:0.116784:0.501920:0.116784:0.483483:0.096359:0.483483:0.000000:0.000000:0.000000
  :@0.116784:0.501920:0.125589:0.501920:0.125589:0.484825:0.116784:0.484825:0.000000:0.000000
3:@0.130090:0.499635:0.139900:0.499635:0.139900:0.482541:0.130090:0.482541:0.000000
8:@0.129668:0.520728:0.139478:0.520728:0.139478:0.503633:0.129668:0.503633:0.000000
×:@0.143701:0.509989:0.154738:0.509989:0.154738:0.490330:0.143701:0.490330:0.000000
4 2:@0.170197:0.499639:0.209729:0.499639:0.209729:0.482545:0.170197:0.482545:0.000000:0.000000:0.000000
6:@0.170197:0.520731:0.180007:0.520731:0.180007:0.503637:0.170197:0.503637:0.000000
+:@0.184641:0.509989:0.195677:0.509989:0.195677:0.490330:0.184641:0.490330:0.000000
3:@0.200120:0.520731:0.209930:0.520731:0.209930:0.503637:0.200120:0.503637:0.000000
⎛:@0.157418:0.501935:0.165138:0.501935:0.165138:0.482276:0.157418:0.482276:0.000000
⎝:@0.157418:0.519617:0.165138:0.519617:0.165138:0.499958:0.157418:0.499958:0.000000
⎜:@0.157418:0.513296:0.165138:0.513296:0.165138:0.493636:0.157418:0.493636:0.000000
⎞:@0.211455:0.501935:0.219174:0.501935:0.219174:0.482276:0.211455:0.482276:0.000000
⎠:@0.211455:0.519617:0.219174:0.519617:0.219174:0.499958:0.211455:0.499958:0.000000
⎟:@0.211455:0.513296:0.219174:0.513296:0.219174:0.493636:0.211455:0.493636:0.000000
+:@0.223918:0.509991:0.234955:0.509991:0.234955:0.490332:0.223918:0.490332:0.000000
49:@0.257430:0.499641:0.276869:0.499641:0.276869:0.482547:0.257430:0.482547:0.000000:0.000000
100:@0.251560:0.520734:0.280629:0.520734:0.280629:0.503640:0.251560:0.503640:0.000000:0.000000:0.000000
⋅:@0.285574:0.509989:0.290600:0.509989:0.290600:0.490330:0.285574:0.490330:0.000000
2:@0.304531:0.499639:0.314341:0.499639:0.314341:0.482545:0.304531:0.482545:0.000000
4:@0.304531:0.520731:0.314341:0.520731:0.314341:0.503637:0.304531:0.503637:0.000000
⎛ ⎞:@0.291751:0.501935:0.324599:0.501935:0.324599:0.482276:0.291751:0.482276:0.000000:0.000000:0.000000
⎝ ⎠:@0.291751:0.519617:0.324599:0.519617:0.324599:0.499958:0.291751:0.499958:0.000000:0.000000:0.000000
⎜ ⎟:@0.291751:0.513296:0.324599:0.513296:0.324599:0.493636:0.291751:0.493636:0.000000:0.000000:0.000000
2:@0.327194:0.489400:0.332865:0.489400:0.332865:0.479517:0.327194:0.479517:0.000000
=:@0.337925:0.509989:0.348962:0.509989:0.348962:0.490330:0.337925:0.490330:0.000000
b) :@0.096359:0.572585:0.118211:0.572585:0.118211:0.554148:0.096359:0.554148:0.000000:0.000000:0.000000
  :@0.118211:0.572585:0.127016:0.572585:0.127016:0.555491:0.118211:0.555491:0.000000:0.000000
3:@0.141674:0.557685:0.151484:0.557685:0.151484:0.540590:0.141674:0.540590:0.000000
2 4:@0.141473:0.578777:0.181009:0.578781:0.181009:0.561687:0.141473:0.561683:0.000000:0.000000:0.000000
−:@0.155076:0.568039:0.166113:0.568039:0.166113:0.548379:0.155076:0.548379:0.000000
1:@0.172043:0.557688:0.181853:0.557688:0.181853:0.540594:0.172043:0.540594:0.000000
⎛:@0.129529:0.559984:0.137248:0.559984:0.137248:0.540325:0.129529:0.540325:0.000000
⎝:@0.129529:0.577667:0.137248:0.577667:0.137248:0.558008:0.129529:0.558008:0.000000
⎜:@0.129529:0.571345:0.137248:0.571345:0.137248:0.551686:0.129529:0.551686:0.000000
⎞ ⎛:@0.183565:0.559984:0.202321:0.559984:0.202321:0.540325:0.183565:0.540325:0.000000:0.000000:0.000000
⎠ ⎝:@0.183565:0.577667:0.202321:0.577667:0.202321:0.558008:0.183565:0.558008:0.000000:0.000000:0.000000
⎟ ⎜:@0.183565:0.571345:0.202321:0.571345:0.202321:0.551686:0.183565:0.551686:0.000000:0.000000:0.000000
4:@0.207387:0.557691:0.217197:0.557691:0.217197:0.540597:0.207387:0.540597:0.000000
3:@0.207588:0.578783:0.217398:0.578783:0.217398:0.561689:0.207588:0.561689:0.000000
÷:@0.222243:0.568039:0.233280:0.568039:0.233280:0.548379:0.222243:0.548379:0.000000
1:@0.238788:0.557688:0.248598:0.557688:0.248598:0.540594:0.238788:0.540594:0.000000
6:@0.237944:0.578781:0.247754:0.578781:0.247754:0.561687:0.237944:0.561687:0.000000
⎞:@0.249885:0.559984:0.257604:0.559984:0.257604:0.540325:0.249885:0.540325:0.000000
⎠:@0.249885:0.577667:0.257604:0.577667:0.257604:0.558008:0.249885:0.558008:0.000000
⎟:@0.249885:0.571345:0.257604:0.571345:0.257604:0.551686:0.249885:0.551686:0.000000
+:@0.262348:0.568041:0.273385:0.568041:0.273385:0.548382:0.262348:0.548382:0.000000
4:@0.292081:0.557691:0.301891:0.557691:0.301891:0.540597:0.292081:0.540597:0.000000
9:@0.291880:0.578783:0.301690:0.578783:0.301690:0.561689:0.291880:0.561689:0.000000
=:@0.308937:0.568039:0.319973:0.568039:0.319973:0.548379:0.308937:0.548379:0.000000
Solución:@0.096359:0.614644:0.163086:0.614644:0.163086:0.598020:0.096359:0.598020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver, es importante identificar la jerarquía de solución.:@0.096359:0.640191:0.593115:0.640191:0.593115:0.623097:0.096359:0.623097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.716640:0.116784:0.716640:0.116784:0.698203:0.096359:0.698203:0.000000:0.000000:0.000000
3:@0.121285:0.669084:0.131095:0.669084:0.131095:0.651990:0.121285:0.651990:0.000000
8:@0.120863:0.690177:0.130673:0.690177:0.130673:0.673082:0.120863:0.673082:0.000000
×:@0.134896:0.679438:0.145933:0.679438:0.145933:0.659779:0.134896:0.659779:0.000000
4 2:@0.161392:0.669088:0.200924:0.669088:0.200924:0.651994:0.161392:0.651994:0.000000:0.000000:0.000000
6:@0.161392:0.690180:0.171202:0.690180:0.171202:0.673086:0.161392:0.673086:0.000000
+:@0.175836:0.679438:0.186872:0.679438:0.186872:0.659779:0.175836:0.659779:0.000000
3:@0.191315:0.690180:0.201125:0.690180:0.201125:0.673086:0.191315:0.673086:0.000000
⎛:@0.148613:0.671384:0.156333:0.671384:0.156333:0.651724:0.148613:0.651724:0.000000
⎝:@0.148613:0.689066:0.156333:0.689066:0.156333:0.669407:0.148613:0.669407:0.000000
⎜:@0.148613:0.682745:0.156333:0.682745:0.156333:0.663085:0.148613:0.663085:0.000000
⎞:@0.202650:0.671384:0.210369:0.671384:0.210369:0.651724:0.202650:0.651724:0.000000
⎠:@0.202650:0.689066:0.210369:0.689066:0.210369:0.669407:0.202650:0.669407:0.000000
⎟:@0.202650:0.682745:0.210369:0.682745:0.210369:0.663085:0.202650:0.663085:0.000000
+:@0.215113:0.679440:0.226150:0.679440:0.226150:0.659781:0.215113:0.659781:0.000000
49:@0.248625:0.669090:0.268064:0.669090:0.268064:0.651996:0.248625:0.651996:0.000000:0.000000
100:@0.242755:0.690183:0.271824:0.690183:0.271824:0.673089:0.242755:0.673089:0.000000:0.000000:0.000000
⋅:@0.276769:0.679438:0.281795:0.679438:0.281795:0.659779:0.276769:0.659779:0.000000
2:@0.295726:0.669088:0.305536:0.669088:0.305536:0.651994:0.295726:0.651994:0.000000
4:@0.295726:0.690180:0.305536:0.690180:0.305536:0.673086:0.295726:0.673086:0.000000
⎛ ⎞:@0.282945:0.671384:0.315794:0.671384:0.315794:0.651724:0.282945:0.651724:0.000000:0.000000:0.000000
⎝ ⎠:@0.282945:0.689066:0.315794:0.689066:0.315794:0.669407:0.282945:0.669407:0.000000:0.000000:0.000000
⎜ ⎟:@0.282945:0.682745:0.315794:0.682745:0.315794:0.663085:0.282945:0.663085:0.000000:0.000000:0.000000
2:@0.318389:0.658849:0.324060:0.658849:0.324060:0.648966:0.318389:0.648966:0.000000
=:@0.329120:0.679438:0.340157:0.679438:0.340157:0.659779:0.329120:0.659779:0.000000
3:@0.121276:0.712857:0.131087:0.712857:0.131087:0.695763:0.121276:0.695763:0.000000
8:@0.120854:0.733949:0.130665:0.733949:0.130665:0.716855:0.120854:0.716855:0.000000
×:@0.134896:0.723208:0.145933:0.723208:0.145933:0.703549:0.134896:0.703549:0.000000
4:@0.161392:0.712858:0.171202:0.712858:0.171202:0.695764:0.161392:0.695764:0.000000
3:@0.161593:0.733951:0.171403:0.733951:0.171403:0.716856:0.161593:0.716856:0.000000
⎛ ⎞:@0.148613:0.715153:0.181461:0.715153:0.181461:0.695494:0.148613:0.695494:0.000000:0.000000:0.000000
⎝ ⎠:@0.148613:0.732835:0.181461:0.732835:0.181461:0.713176:0.148613:0.713176:0.000000:0.000000:0.000000
⎜ ⎟:@0.148613:0.726514:0.181461:0.726514:0.181461:0.706855:0.148613:0.706855:0.000000:0.000000:0.000000
+:@0.186205:0.723210:0.197242:0.723210:0.197242:0.703550:0.186205:0.703550:0.000000
7 4:@0.205464:0.712859:0.245008:0.712858:0.245008:0.695764:0.205464:0.695765:0.000000:0.000000:0.000000
10 16:@0.200237:0.733952:0.248988:0.733951:0.248988:0.716856:0.200237:0.716858:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.223056:0.723208:0.228081:0.723208:0.228081:0.703549:0.223056:0.703549:0.000000
=:@0.254048:0.723208:0.265084:0.723208:0.265084:0.703549:0.254048:0.703549:0.000000
1:@0.121710:0.755451:0.131521:0.755451:0.131521:0.738356:0.121710:0.738356:0.000000
2 40:@0.120866:0.776544:0.170041:0.776544:0.170041:0.759450:0.120866:0.759450:0.000000:0.000000:0.000000:0.000000
+:@0.134477:0.765799:0.145514:0.765799:0.145514:0.746140:0.134477:0.746140:0.000000
7:@0.154781:0.755449:0.164591:0.755449:0.164591:0.738355:0.154781:0.738355:0.000000
=:@0.175102:0.765799:0.186138:0.765799:0.186138:0.746140:0.175102:0.746140:0.000000
20 7:@0.191224:0.755449:0.236416:0.755449:0.236416:0.738355:0.191224:0.738355:0.000000:0.000000:0.000000:0.000000
+:@0.213317:0.756098:0.224354:0.756098:0.224354:0.736439:0.213317:0.736439:0.000000
40:@0.204524:0.776544:0.223964:0.776544:0.223964:0.759450:0.204524:0.759450:0.000000:0.000000
=:@0.241483:0.765799:0.252520:0.765799:0.252520:0.746140:0.241483:0.746140:0.000000
27:@0.258028:0.755449:0.277467:0.755449:0.277467:0.738355:0.258028:0.738355:0.000000:0.000000
40:@0.258445:0.776544:0.277885:0.776544:0.277885:0.759450:0.258445:0.759450:0.000000:0.000000
b) :@0.096359:0.868014:0.118211:0.868014:0.118211:0.849577:0.096359:0.849577:0.000000:0.000000:0.000000
 :@0.118211:0.868014:0.122613:0.868014:0.122613:0.850920:0.118211:0.850920:0.000000
3:@0.137272:0.819168:0.147082:0.819168:0.147082:0.802074:0.137272:0.802074:0.000000
2 4:@0.137071:0.840261:0.176606:0.840264:0.176606:0.823170:0.137071:0.823166:0.000000:0.000000:0.000000
−:@0.150674:0.829522:0.161710:0.829522:0.161710:0.809863:0.150674:0.809863:0.000000
1:@0.167640:0.819172:0.177451:0.819172:0.177451:0.802078:0.167640:0.802078:0.000000
⎛:@0.125126:0.821468:0.132846:0.821468:0.132846:0.801809:0.125126:0.801809:0.000000
⎝:@0.125126:0.839150:0.132846:0.839150:0.132846:0.819491:0.125126:0.819491:0.000000
⎜:@0.125126:0.832829:0.132846:0.832829:0.132846:0.813169:0.125126:0.813169:0.000000
⎞ ⎛:@0.179163:0.821468:0.197919:0.821468:0.197919:0.801809:0.179163:0.801809:0.000000:0.000000:0.000000
⎠ ⎝:@0.179163:0.839150:0.197919:0.839150:0.197919:0.819491:0.179163:0.819491:0.000000:0.000000:0.000000
⎟ ⎜:@0.179163:0.832829:0.197919:0.832829:0.197919:0.813169:0.179163:0.813169:0.000000:0.000000:0.000000
4:@0.202985:0.819174:0.212795:0.819174:0.212795:0.802080:0.202985:0.802080:0.000000
3:@0.203186:0.840267:0.212996:0.840267:0.212996:0.823173:0.203186:0.823173:0.000000
÷:@0.217841:0.829522:0.228877:0.829522:0.228877:0.809863:0.217841:0.809863:0.000000
1:@0.234385:0.819172:0.244196:0.819172:0.244196:0.802078:0.234385:0.802078:0.000000
6:@0.233541:0.840264:0.243351:0.840264:0.243351:0.823170:0.233541:0.823170:0.000000
⎞:@0.245482:0.821468:0.253202:0.821468:0.253202:0.801809:0.245482:0.801809:0.000000
⎠:@0.245482:0.839150:0.253202:0.839150:0.253202:0.819491:0.245482:0.819491:0.000000
⎟:@0.245482:0.832829:0.253202:0.832829:0.253202:0.813169:0.245482:0.813169:0.000000
+:@0.257946:0.829524:0.268982:0.829524:0.268982:0.809865:0.257946:0.809865:0.000000
4:@0.287678:0.819174:0.297488:0.819174:0.297488:0.802080:0.287678:0.802080:0.000000
9:@0.287477:0.840267:0.297287:0.840267:0.297287:0.823173:0.287477:0.823173:0.000000
=:@0.304534:0.829522:0.315571:0.829522:0.315571:0.809863:0.304534:0.809863:0.000000
5:@0.138103:0.862941:0.147913:0.862941:0.147913:0.845847:0.138103:0.845847:0.000000
4:@0.137902:0.884033:0.147712:0.884033:0.147712:0.866939:0.137902:0.866939:0.000000
⎛ ⎞ ⎛ ⎞:@0.125126:0.865237:0.192883:0.865237:0.192883:0.845578:0.125126:0.845578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎝ ⎠ ⎝ ⎠:@0.125126:0.882920:0.192883:0.882920:0.192883:0.863260:0.125126:0.863260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎜ ⎟ ⎜ ⎟:@0.125126:0.876598:0.192883:0.876598:0.192883:0.856939:0.125126:0.856939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.173232:0.862944:0.183043:0.862944:0.183043:0.845849:0.173232:0.845849:0.000000
1:@0.174278:0.884036:0.184088:0.884036:0.184088:0.866942:0.174278:0.866942:0.000000
+ =:@0.197627:0.873294:0.238404:0.873291:0.238404:0.853632:0.197627:0.853634:0.000000:0.000000:0.000000
2:@0.212905:0.862944:0.222716:0.862944:0.222716:0.845849:0.212905:0.845849:0.000000
3:@0.213106:0.884036:0.222917:0.884036:0.222917:0.866942:0.213106:0.866942:0.000000
10 2:@0.125446:0.905533:0.174191:0.905533:0.174191:0.888438:0.125446:0.888439:0.000000:0.000000:0.000000:0.000000
1:@0.131931:0.926628:0.141741:0.926628:0.141741:0.909534:0.131931:0.909534:0.000000
+ =:@0.149102:0.915883:0.189874:0.915883:0.189874:0.896224:0.149102:0.896224:0.000000:0.000000:0.000000
3:@0.164598:0.926628:0.174408:0.926628:0.174408:0.909534:0.164598:0.909534:0.000000
30 2:@0.194960:0.905533:0.240574:0.905533:0.240574:0.888438:0.194960:0.888438:0.000000:0.000000:0.000000:0.000000
+:@0.217053:0.906181:0.228090:0.906181:0.228090:0.886522:0.217053:0.886522:0.000000
3:@0.213076:0.926628:0.222886:0.926628:0.222886:0.909534:0.213076:0.909534:0.000000
=:@0.245219:0.915883:0.256256:0.915883:0.256256:0.896224:0.245219:0.896224:0.000000
32:@0.261342:0.905533:0.280781:0.905533:0.280781:0.888438:0.261342:0.888438:0.000000:0.000000
3:@0.266369:0.926628:0.276179:0.926628:0.276179:0.909534:0.266369:0.909534:0.000000
Frepik.es:@0.638728:0.938109:0.638728:0.912181:0.627340:0.912181:0.627340:0.938109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para indicar la :@0.731764:0.678163:0.827102:0.678163:0.827102:0.663918:0.731764:0.663918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación de dos :@0.731764:0.693251:0.879369:0.693251:0.879369:0.679005:0.731764:0.679005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones, se puede :@0.731764:0.708338:0.882835:0.708338:0.882835:0.694093:0.731764:0.694093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
usar el signo ×, un punto :@0.731764:0.723426:0.901647:0.723426:0.901647:0.709181:0.731764:0.709181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o    paréntesis.:@0.731764:0.738513:0.825995:0.738513:0.825995:0.724268:0.731764:0.724268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, para indicar :@0.731764:0.753601:0.900660:0.753601:0.900660:0.739356:0.731764:0.739356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la multiplicación entre: :@0.731764:0.768689:0.887091:0.768689:0.887091:0.754443:0.731764:0.754443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.731764:0.807187:0.735433:0.807187:0.735433:0.792942:0.731764:0.792942:0.000000
3 4:@0.739934:0.801365:0.779631:0.801064:0.779631:0.783970:0.739934:0.784270:0.000000:0.000000:0.000000
8:@0.739515:0.822504:0.749326:0.822504:0.749326:0.805409:0.739515:0.805409:0.000000
y :@0.753860:0.807183:0.764900:0.807183:0.764900:0.792938:0.753860:0.792938:0.000000:0.000000
5:@0.770021:0.822202:0.779832:0.822202:0.779832:0.805108:0.770021:0.805108:0.000000
, escribimos: :@0.785001:0.807183:0.870204:0.807183:0.870204:0.792938:0.785001:0.792938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 4 3 4:@0.736265:0.854647:0.818320:0.854647:0.818320:0.837552:0.736265:0.837552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.735847:0.875786:0.745657:0.875786:0.745657:0.858691:0.735847:0.858691:0.000000
5 8 5:@0.766210:0.875786:0.818530:0.875786:0.818530:0.858691:0.766210:0.858691:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.779927:0.864391:0.783425:0.864391:0.783425:0.847296:0.779927:0.847296:0.000000
×:@0.749878:0.865134:0.760915:0.865134:0.760915:0.848145:0.749878:0.848145:0.000000
⋅:@0.799934:0.865134:0.804960:0.865134:0.804960:0.848145:0.799934:0.848145:0.000000
3:@0.746632:0.912482:0.756442:0.912482:0.756442:0.895388:0.746632:0.895388:0.000000
8:@0.746210:0.933620:0.756020:0.933620:0.756020:0.916526:0.746210:0.916526:0.000000
4:@0.782435:0.912482:0.792245:0.912482:0.792245:0.895388:0.782435:0.895388:0.000000
5:@0.782636:0.933620:0.792446:0.933620:0.792446:0.916526:0.782636:0.916526:0.000000
Competencia :@0.768577:0.641020:0.869688:0.641020:0.869688:0.624244:0.768577:0.624244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.768577:0.654850:0.884837:0.654850:0.884837:0.638074:0.768577:0.638074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El origen de las :@0.731565:0.178199:0.835932:0.178199:0.835932:0.163953:0.731565:0.163953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones o quebrados :@0.731565:0.193286:0.891299:0.193286:0.891299:0.179041:0.731565:0.179041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es muy remoto; ya eran :@0.731565:0.208374:0.891314:0.208374:0.891314:0.194129:0.731565:0.194129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocidas por babilonios, :@0.731565:0.223461:0.906190:0.223461:0.906190:0.209216:0.731565:0.209216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
egipcios y griegos. :@0.731565:0.238549:0.858596:0.238549:0.858596:0.224304:0.731565:0.224304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga responde:@0.731565:0.479951:0.860910:0.479951:0.860910:0.464838:0.731565:0.464838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.779996:0.479951:0.794704:0.479951:0.794704:0.465706:0.779996:0.465706:0.000000:0.000000:0.000000
: :@0.860910:0.479951:0.867494:0.479951:0.867494:0.465706:0.860910:0.465706:0.000000:0.000000
¿a quién se le debe el :@0.731565:0.495038:0.878483:0.495038:0.878483:0.480793:0.731565:0.480793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nombre de fracción?:@0.731565:0.510126:0.869537:0.510126:0.869537:0.495881:0.731565:0.495881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.765889:0.152795:0.890697:0.152795:0.890697:0.136019:0.765889:0.136019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.925842:0.458941:0.925842:0.421599:0.914454:0.421599:0.914454:0.458941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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