42:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
4. :@0.114793:0.100407:0.133534:0.100407:0.133534:0.083271:0.114793:0.083271:0.000000:0.000000:0.000000
Ubica:@0.148037:0.100407:0.191895:0.100407:0.191895:0.083783:0.148037:0.083783:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes números racionales en la recta numérica.:@0.191895:0.100407:0.599234:0.100407:0.599234:0.084018:0.191895:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.114793:0.145507:0.118516:0.145507:0.118516:0.128372:0.114793:0.128372:0.000000
– , , ,:@0.148035:0.131600:0.218144:0.131600:0.218144:0.115212:0.148035:0.115212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– , –,:@0.221119:0.131600:0.280287:0.131600:0.280287:0.115212:0.221119:0.115212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 2 8:@0.160382:0.123136:0.211473:0.123134:0.211473:0.106745:0.160382:0.106747:0.000000:0.000000:0.000000:0.000000:0.000000
5 3 3:@0.160584:0.142499:0.211842:0.142496:0.211842:0.126107:0.160584:0.126110:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.233742:0.123134:0.242735:0.123134:0.242735:0.106745:0.233742:0.106745:0.000000
2:@0.234111:0.142496:0.243103:0.142496:0.243103:0.126107:0.234111:0.126107:0.000000
7 7:@0.265131:0.123134:0.293928:0.123134:0.293928:0.106745:0.265131:0.106745:0.000000:0.000000:0.000000
2 2:@0.265500:0.142496:0.294297:0.142496:0.294297:0.126107:0.265500:0.126107:0.000000:0.000000:0.000000
–4:@0.224929:0.222327:0.243135:0.222327:0.243135:0.205938:0.224929:0.205938:0.000000:0.000000
–3:@0.294401:0.222327:0.312607:0.222327:0.312607:0.205938:0.294401:0.205938:0.000000:0.000000
–2:@0.363873:0.222327:0.382079:0.222327:0.382079:0.205938:0.363873:0.205938:0.000000:0.000000
–1:@0.433345:0.222327:0.451552:0.222327:0.451552:0.205938:0.433345:0.205938:0.000000:0.000000
0:@0.507424:0.222327:0.516417:0.222327:0.516417:0.205938:0.507424:0.205938:0.000000
1:@0.576896:0.222327:0.585889:0.222327:0.585889:0.205938:0.576896:0.205938:0.000000
3:@0.715841:0.222327:0.724834:0.222327:0.724834:0.205938:0.715841:0.205938:0.000000
2:@0.646369:0.222327:0.655361:0.222327:0.655361:0.205938:0.646369:0.205938:0.000000
4:@0.785313:0.222327:0.794306:0.222327:0.794306:0.205938:0.785313:0.205938:0.000000
Aplicación de los números racionales:@0.114793:0.247164:0.488096:0.247164:0.488096:0.225654:0.114793:0.225654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números racionales se aplican cuando a una o varias unidades se las divide en partes iguales y se toma :@0.114793:0.266382:0.884442:0.266382:0.884442:0.249993:0.114793:0.249993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varias de ellas, asignando un signo positivo (+) cuando implica el aumento y un signo negativo (–) cuando :@0.114793:0.282978:0.884381:0.282978:0.884381:0.266589:0.114793:0.266589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implica disminución.:@0.114793:0.299575:0.266600:0.299575:0.266600:0.283186:0.114793:0.283186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.114793:0.319739:0.187933:0.319739:0.187933:0.302839:0.114793:0.302839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.117023:0.346238:0.131931:0.346238:0.131931:0.329337:0.117023:0.329337:0.000000:0.000000
En el viaje gasté la tercera parte del tanque de gasolina.:@0.150119:0.346238:0.555706:0.346238:0.555706:0.329849:0.150119:0.329849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–  (disminución):@0.588038:0.344825:0.718369:0.346082:0.718369:0.329693:0.588038:0.328436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.600970:0.336338:0.609962:0.336338:0.609962:0.319949:0.600970:0.319949:0.000000
3:@0.600398:0.355714:0.609391:0.355714:0.609391:0.339325:0.600398:0.339325:0.000000
b):@0.117038:0.391501:0.133254:0.391501:0.133254:0.374600:0.117038:0.374600:0.000000:0.000000
Han llegado 20 de los 25 invitados a la fiesta.:@0.150134:0.391501:0.475913:0.391501:0.475913:0.375112:0.150134:0.375112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.589137:0.381601:0.606920:0.381601:0.606920:0.365212:0.589137:0.365212:0.000000:0.000000
25:@0.589506:0.400977:0.607289:0.400977:0.607289:0.384588:0.589506:0.384588:0.000000:0.000000
 (aumento):@0.611859:0.391345:0.693104:0.391345:0.693104:0.374956:0.611859:0.374956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.117021:0.436764:0.130842:0.436764:0.130842:0.419863:0.117021:0.419863:0.000000:0.000000
Han ingresado 4 de los 9 pacientes al laboratorio.:@0.150117:0.436764:0.509248:0.436764:0.509248:0.420375:0.150117:0.420375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.589871:0.426864:0.598864:0.426864:0.598864:0.410475:0.589871:0.410475:0.000000
9:@0.589705:0.446240:0.598698:0.446240:0.598698:0.429851:0.589705:0.429851:0.000000
 (aumento):@0.603482:0.436608:0.684728:0.436608:0.684728:0.420219:0.603482:0.420219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5. :@0.115353:0.490007:0.134094:0.490007:0.134094:0.472871:0.115353:0.472871:0.000000:0.000000:0.000000
Asigna:@0.148596:0.490007:0.200673:0.490007:0.200673:0.473383:0.148596:0.473383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 un número racional positivo o negativo a las siguientes situaciones. :@0.200673:0.490007:0.701330:0.490007:0.701330:0.473618:0.200673:0.473618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.155296:0.529080:0.170204:0.529080:0.170204:0.512179:0.155296:0.512179:0.000000:0.000000
Cristina ha recorrido 3 de los 4 kilómetros de su viaje.:@0.188226:0.529080:0.575401:0.529080:0.575401:0.512691:0.188226:0.512691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.155296:0.575826:0.171512:0.575826:0.171512:0.558926:0.155296:0.558926:0.000000:0.000000
Han llegado 15 de los 24 estudiantes del curso.:@0.188226:0.575826:0.531507:0.575826:0.531507:0.559437:0.188226:0.559437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.155296:0.622573:0.169116:0.622573:0.169116:0.605672:0.155296:0.605672:0.000000:0.000000
Ayer han salido del hospital 15 de los 40 pacientes ingresados.:@0.188226:0.622573:0.642847:0.622573:0.642847:0.606184:0.188226:0.606184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.155296:0.669319:0.171549:0.669319:0.171549:0.652419:0.155296:0.652419:0.000000:0.000000
Juan estudió 18 de las 70 páginas de su cuaderno.:@0.188226:0.669319:0.554431:0.669319:0.554431:0.652930:0.188226:0.652930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e):@0.155296:0.716066:0.170351:0.716066:0.170351:0.699165:0.155296:0.699165:0.000000:0.000000
Se dañaron 20 de las 60 cajas en un embarque.:@0.188226:0.716066:0.531527:0.716066:0.531527:0.699677:0.188226:0.699677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f):@0.155296:0.762812:0.168305:0.762812:0.168305:0.745911:0.155296:0.745911:0.000000:0.000000
Karen se gastó 3 de las 5 partes de su sueldo.:@0.188226:0.762812:0.516857:0.762812:0.516857:0.746423:0.188226:0.746423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g):@0.155296:0.809559:0.171401:0.809559:0.171401:0.792658:0.155296:0.792658:0.000000:0.000000
José va al gimnasio 5 de los 7 días de la semana.:@0.188226:0.809559:0.539823:0.809559:0.539823:0.793170:0.188226:0.793170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h):@0.155296:0.856305:0.171383:0.856305:0.171383:0.839404:0.155296:0.839404:0.000000:0.000000
De las 30 rebanadas de un pastel, se han comido 17.:@0.188226:0.856305:0.570280:0.856305:0.570280:0.839916:0.188226:0.839916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.155296:0.903051:0.165560:0.903051:0.165560:0.886151:0.155296:0.886151:0.000000:0.000000
Han salido de una institución 4 de 64 funcionarios que había.:@0.188226:0.903051:0.634814:0.903051:0.634814:0.886662:0.188226:0.886662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000