﻿14:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números racionales. Operaciones:@0.286308:0.079033:0.866959:0.079033:0.866959:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Los números racionales son muy utilizados en la vida práctica, por ejemplo :@0.287495:0.153866:0.907622:0.153866:0.907622:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en finanzas son empleados para representar porcentajes, tasas de interés y fracciones :@0.287495:0.170462:0.907620:0.170462:0.907620:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cantidades monetarias.:@0.287495:0.187059:0.480190:0.187059:0.480190:0.170670:0.287495:0.170670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La imagen muestra las horas en que Augusta observó el reloj en la mañana antes :@0.287495:0.210778:0.907733:0.210778:0.907733:0.194389:0.287495:0.194389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de salir al colegio. ¿Qué parte fraccionaria de la hora ocupó para cada actividad :@0.287495:0.227374:0.907602:0.227374:0.907602:0.210985:0.287495:0.210985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y qué parte fraccionaria de la hora usó en total para alistarse?:@0.287495:0.243970:0.733439:0.243970:0.733439:0.227582:0.287495:0.227582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observemos cuántos minutos le tomó hacer cada actividad y recordemos que :@0.287495:0.267689:0.907731:0.267689:0.907731:0.251301:0.287495:0.251301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la hora tiene 60 minutos. El número de minutos tomado para cada actividad será :@0.287495:0.284286:0.907582:0.284286:0.907582:0.267897:0.287495:0.267897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el numerador de cada fracción y los 60 minutos serán el denominador.:@0.287495:0.300882:0.803372:0.300882:0.803372:0.284493:0.287495:0.284493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Bañarse y vestirse:     :@0.287495:0.347241:0.439024:0.347241:0.439024:0.330852:0.287495:0.330852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
20:@0.443314:0.339548:0.461097:0.339548:0.461097:0.323159:0.443314:0.323159:0.000000:0.000000
60:@0.443472:0.358997:0.461255:0.358997:0.461255:0.342608:0.443472:0.342608:0.000000:0.000000
Desayunar:                 :@0.287495:0.393604:0.437310:0.393604:0.437310:0.377215:0.287495:0.377215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.441391:0.384646:0.459174:0.384646:0.459174:0.368257:0.441391:0.368257:0.000000:0.000000
60:@0.441758:0.404095:0.459541:0.404095:0.459541:0.387706:0.441758:0.387706:0.000000:0.000000
Cepillar sus dientes:  :@0.287495:0.439961:0.439429:0.439961:0.439429:0.423572:0.287495:0.423572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.443144:0.429745:0.460926:0.429745:0.460926:0.413357:0.443144:0.413357:0.000000:0.000000
60:@0.443877:0.449193:0.461660:0.449193:0.461660:0.432804:0.443877:0.432804:0.000000:0.000000
Con el fin de determinar la fracción :@0.287495:0.487409:0.548722:0.487409:0.548722:0.471020:0.287495:0.471020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de hora que utilizó para alistarse totalmente, :@0.287495:0.504005:0.616515:0.504005:0.616515:0.487617:0.287495:0.487617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumamos las tres fracciones::@0.287495:0.520602:0.494989:0.520602:0.494989:0.504213:0.287495:0.504213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.313932:0.565120:0.324049:0.565120:0.324049:0.549547:0.313932:0.549547:0.000000
+:@0.350640:0.565120:0.360757:0.565120:0.360757:0.549547:0.350640:0.549547:0.000000
=:@0.387846:0.565120:0.397962:0.565120:0.397962:0.549547:0.387846:0.549547:0.000000
20:@0.291782:0.555481:0.309565:0.555481:0.309565:0.539092:0.291782:0.539092:0.000000:0.000000
60:@0.291945:0.574934:0.309728:0.574934:0.309728:0.558545:0.291945:0.558545:0.000000:0.000000
15:@0.328276:0.555484:0.346058:0.555484:0.346058:0.539095:0.328276:0.539095:0.000000:0.000000
60:@0.328643:0.574934:0.346425:0.574934:0.346425:0.558545:0.328643:0.558545:0.000000:0.000000
10:@0.364608:0.555484:0.382391:0.555484:0.382391:0.539095:0.364608:0.539095:0.000000:0.000000
60:@0.365340:0.574934:0.383123:0.574934:0.383123:0.558545:0.365340:0.558545:0.000000:0.000000
45:@0.403662:0.555484:0.421444:0.555484:0.421444:0.539095:0.403662:0.539095:0.000000:0.000000
60:@0.403087:0.574934:0.420870:0.574934:0.420870:0.558545:0.403087:0.558545:0.000000:0.000000
 . :@0.426540:0.566957:0.437818:0.566957:0.437818:0.550568:0.426540:0.550568:0.000000:0.000000:0.000000
Simplificando tenemos:  :@0.287504:0.606180:0.468314:0.606180:0.468314:0.589791:0.287504:0.589791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.473330:0.595969:0.482322:0.595969:0.482322:0.579581:0.473330:0.579581:0.000000
4:@0.473120:0.615419:0.482113:0.615419:0.482113:0.599030:0.473120:0.599030:0.000000
Para alistarse e ir al colegio empleó 3/4 de hora, es decir, 45 minutos.:@0.287495:0.637038:0.787485:0.637038:0.787485:0.620649:0.287495:0.620649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.287495:0.794952:0.357852:0.794952:0.357852:0.778315:0.287495:0.778315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287495:0.827481:0.306218:0.827481:0.306218:0.810581:0.287495:0.810581:0.000000:0.000000:0.000000
Realiza la operación:@0.311230:0.827481:0.456293:0.827481:0.456293:0.811092:0.311230:0.811092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.477243:0.828150:0.487360:0.828150:0.487360:0.812577:0.477243:0.812577:0.000000
+:@0.507815:0.828150:0.517931:0.828150:0.517931:0.812577:0.507815:0.812577:0.000000
5 11 4:@0.464784:0.818946:0.531154:0.818946:0.531154:0.802557:0.464784:0.802557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.464417:0.838395:0.473410:0.838395:0.473410:0.822006:0.464417:0.822006:0.000000
9:@0.493158:0.838395:0.502151:0.838395:0.502151:0.822006:0.493158:0.822006:0.000000
9:@0.522004:0.838395:0.530997:0.838395:0.530997:0.822006:0.522004:0.822006:0.000000
.:@0.537394:0.841303:0.540601:0.841303:0.540601:0.824914:0.537394:0.824914:0.000000
Solución:@0.287497:0.872158:0.351275:0.872158:0.351275:0.855520:0.287497:0.855520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.304404:0.905357:0.314520:0.905357:0.314520:0.889784:0.304404:0.889784:0.000000
+ =:@0.334975:0.905357:0.373157:0.905357:0.373157:0.889784:0.334975:0.889784:0.000000:0.000000:0.000000
−+:@0.387752:0.896838:0.425510:0.896838:0.425510:0.881265:0.387752:0.881265:0.000000:0.000000
=−:@0.441984:0.905357:0.464779:0.905357:0.464779:0.889784:0.441984:0.889784:0.000000:0.000000
5 11 4:@0.291947:0.896160:0.358315:0.896154:0.358315:0.879765:0.291947:0.879771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.291578:0.915603:0.300571:0.915603:0.300571:0.899214:0.291578:0.899214:0.000000
9:@0.320318:0.915603:0.329311:0.915603:0.329311:0.899214:0.320318:0.899214:0.000000
9:@0.349164:0.915603:0.358157:0.915603:0.358157:0.899214:0.349164:0.899214:0.000000
5114:@0.377173:0.896154:0.437265:0.896154:0.437265:0.879765:0.377173:0.879765:0.000000:0.000000:0.000000:0.000000
9:@0.402929:0.915603:0.411922:0.915603:0.411922:0.899214:0.402929:0.899214:0.000000
2:@0.467374:0.896154:0.476367:0.896154:0.476367:0.879765:0.467374:0.879765:0.000000
9:@0.467217:0.915603:0.476210:0.915603:0.476210:0.899214:0.467217:0.899214:0.000000
Para sumar o restar fracciones homogéneas (con igual denominador), conserva-:@0.296992:0.677953:0.893305:0.677953:0.893305:0.661564:0.296992:0.661564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos el denominador y sumamos los numeradores. Si las fracciones son heterogé-:@0.296992:0.694549:0.893237:0.694549:0.893237:0.678160:0.296992:0.678160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neas (con distinto denominador), buscamos el mcm de los denominadores, :@0.296992:0.711146:0.897326:0.711146:0.897326:0.694757:0.296992:0.694757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cual será dividido para cada denominador. Luego, ese resultado se multiplica :@0.296992:0.727742:0.897326:0.727742:0.897326:0.711353:0.296992:0.711353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por cada numerador. Los productos se sumarán o restarán de acuerdo con la :@0.296992:0.744339:0.897273:0.744339:0.897273:0.727950:0.296992:0.727950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
disposición de los signos.:@0.296992:0.760935:0.482002:0.760935:0.482002:0.744546:0.296992:0.744546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Terminó el:@0.696408:0.484858:0.749647:0.484858:0.749647:0.474103:0.696408:0.474103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desayuno:@0.698296:0.494504:0.747747:0.494504:0.747747:0.483749:0.698296:0.483749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se cepilló los :@0.808152:0.484858:0.875873:0.484858:0.875873:0.474103:0.808152:0.474103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dientes y salió:@0.804950:0.492401:0.876647:0.492401:0.876647:0.481646:0.804950:0.481646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Despertó:@0.700496:0.395519:0.747460:0.395519:0.747460:0.384764:0.700496:0.384764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Terminó de:@0.813447:0.395519:0.870486:0.395519:0.870486:0.384764:0.813447:0.384764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bañarse y vestirse:@0.796819:0.403907:0.887113:0.403907:0.887113:0.393152:0.796819:0.393152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.070380:0.340653:0.070380:0.335546:0.058298:0.335546:0.058298:0.340653:0.000000
Shutterstock:@0.070380:0.335546:0.070380:0.297828:0.058469:0.297828:0.058469:0.335546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Nuestros ancestros :@0.118983:0.192453:0.248896:0.192453:0.248896:0.177554:0.118983:0.177554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construyeron relojes :@0.109601:0.207540:0.248896:0.207540:0.248896:0.192641:0.109601:0.192641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre piedras. La sombra :@0.079631:0.222628:0.248896:0.222628:0.248896:0.207729:0.079631:0.207729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proyectada gracias :@0.119837:0.237715:0.248896:0.237715:0.248896:0.222816:0.119837:0.222816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a los rayos solares :@0.127593:0.252803:0.248896:0.252803:0.248896:0.237904:0.127593:0.237904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señalaba las horas.:@0.122099:0.267891:0.245227:0.267891:0.245227:0.252992:0.122099:0.252992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué relación hay entre :@0.102991:0.417833:0.248531:0.417833:0.248531:0.404423:0.102991:0.404423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
civismo y valorar a nuestras :@0.081491:0.431411:0.248531:0.431411:0.248531:0.418002:0.081491:0.418002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
culturas ancestrales?:@0.122003:0.444990:0.245229:0.444990:0.245229:0.431581:0.122003:0.431581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Cívica:@0.155862:0.159728:0.207960:0.159728:0.207960:0.142827:0.155862:0.142827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un número racional :@0.112465:0.520948:0.248895:0.520948:0.248895:0.506049:0.112465:0.506049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es todo número que :@0.108344:0.536035:0.248895:0.536035:0.248895:0.521136:0.108344:0.521136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser representado :@0.085896:0.551123:0.248895:0.551123:0.248895:0.536224:0.085896:0.536224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como una fracción.:@0.117206:0.566210:0.245228:0.566210:0.245228:0.551311:0.117206:0.551311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.158008:0.594525:0.203613:0.594525:0.203613:0.578223:0.158008:0.578223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.147239:0.592383:0.120826:0.592383:0.120826:0.580983:0.147239:0.580983:0.000000
∈:@0.183271:0.592383:0.156858:0.592383:0.156858:0.580983:0.183271:0.580983:0.000000
≠:@0.220786:0.592383:0.228192:0.592383:0.228192:0.580983:0.220786:0.580983:0.000000
a:@0.088450:0.585327:0.095236:0.585327:0.095236:0.574058:0.088450:0.574058:0.000000
b:@0.088302:0.599562:0.095087:0.599562:0.095087:0.588293:0.088302:0.588293:0.000000
a:@0.139496:0.591877:0.146281:0.591877:0.146281:0.580609:0.139496:0.580609:0.000000
b:@0.175527:0.591877:0.182312:0.591877:0.182312:0.580609:0.175527:0.580609:0.000000
b:@0.211558:0.591877:0.218344:0.591877:0.218344:0.580609:0.211558:0.580609:0.000000
donde:@0.099255:0.591877:0.134396:0.591877:0.134396:0.580406:0.099255:0.580406:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.168364:0.591877:0.170711:0.591877:0.170711:0.580406:0.168364:0.580406:0.000000
,:@0.204382:0.591877:0.206729:0.591877:0.206729:0.580406:0.204382:0.580406:0.000000
0:@0.230593:0.591877:0.237176:0.591877:0.237176:0.580406:0.230593:0.580406:0.000000
De acuerdo con lo :@0.122449:0.622165:0.248895:0.622165:0.248895:0.607266:0.122449:0.607266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expuesto, todo número :@0.088056:0.637253:0.248895:0.637253:0.248895:0.622354:0.088056:0.622354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero es un número :@0.104608:0.652341:0.248895:0.652341:0.248895:0.637442:0.104608:0.637442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional  .:@0.173041:0.667428:0.245227:0.667428:0.245227:0.652529:0.173041:0.652529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.229279:0.670169:0.242313:0.670169:0.242313:0.651611:0.229279:0.651611:0.000000
=:@0.209104:0.710545:0.219221:0.710545:0.219221:0.694972:0.209104:0.694972:0.000000
17:@0.188060:0.709867:0.205843:0.709867:0.205843:0.693478:0.188060:0.693478:0.000000:0.000000
17:@0.222819:0.700909:0.240602:0.700909:0.240602:0.684520:0.222819:0.684520:0.000000:0.000000
1:@0.228735:0.720354:0.237727:0.720354:0.237727:0.703965:0.228735:0.703965:0.000000
     Matemática:@0.116269:0.488505:0.223810:0.488505:0.223810:0.471605:0.116269:0.471605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El trabajo en grupo es :@0.099718:0.799117:0.248896:0.799117:0.248896:0.784218:0.099718:0.784218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muy importante para :@0.102784:0.814204:0.248896:0.814204:0.248896:0.799305:0.102784:0.799305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lograr objetivos y tu :@0.112684:0.829292:0.248896:0.829292:0.248896:0.814393:0.112684:0.814393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aporte es fundamental. :@0.090303:0.844379:0.248895:0.844379:0.248895:0.829480:0.090303:0.829480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresar tu opinión :@0.115867:0.859467:0.248898:0.859467:0.248898:0.844568:0.115867:0.844568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y criterios de una forma :@0.088075:0.874555:0.248895:0.874555:0.248895:0.859656:0.088075:0.859656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
apropiada conlleva :@0.118129:0.889642:0.248896:0.889642:0.248896:0.874743:0.118129:0.874743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a cumplir las metas :@0.117006:0.904730:0.248898:0.904730:0.248898:0.889831:0.117006:0.889831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
planteadas.:@0.169341:0.919818:0.245228:0.919818:0.245228:0.904918:0.169341:0.904918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       Socioemocional:@0.097031:0.766676:0.243050:0.766676:0.243050:0.749775:0.097031:0.749775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.16. :@0.290067:0.944398:0.338404:0.944398:0.338404:0.933643:0.290067:0.933643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operar en Q (adición y multiplicación) resolviendo ejercicios numéricos. :@0.338404:0.944398:0.675119:0.944398:0.675119:0.933969:0.338404:0.933969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.17. :@0.290067:0.954959:0.338404:0.954959:0.338404:0.944205:0.290067:0.944205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades algebraicas para la suma y la multiplicación de números racionales en la solución de ejercicios :@0.339167:0.954959:0.903620:0.954959:0.903620:0.944530:0.339167:0.944530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numéricos. (destreza desagregada):@0.290067:0.965521:0.452526:0.965521:0.452526:0.955091:0.290067:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.63.:@0.271902:0.816163:0.271902:0.786011:0.258006:0.786011:0.258006:0.816163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000