188:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000
Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracciones algebraicas. Simplificación. :@0.305293:0.069842:0.807058:0.069842:0.807058:0.042186:0.305293:0.042186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones:@0.305293:0.096253:0.469242:0.096253:0.469242:0.068597:0.305293:0.068597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las operaciones con fracciones algebraicas son similares a las fracciones numéricas. :@0.304744:0.228047:0.907160:0.228047:0.907160:0.212377:0.304744:0.212377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se multiplica o divide el numerador y el denominador por una misma cantidad, :@0.304744:0.244643:0.907069:0.244643:0.907069:0.228973:0.304744:0.228973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la expresión final no se altera. Sin embargo, toma  en cuenta que la cantidad por la :@0.304744:0.261239:0.907014:0.261239:0.907014:0.245570:0.304744:0.245570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se divide o multiplica debe ser distinta de cero.:@0.304744:0.277836:0.680826:0.277836:0.680826:0.262166:0.304744:0.262166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una evaluación de música, la docente a cargo ha solicitado que se determine :@0.304744:0.301555:0.907123:0.301555:0.907123:0.285885:0.304744:0.285885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el valor de  de la cifra de compás. ¿Qué tipo de expresión algebraica utilizó la :@0.304744:0.318151:0.907112:0.318151:0.907112:0.302481:0.304744:0.302481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.384607:0.318151:0.397083:0.318151:0.397083:0.301790:0.384607:0.301790:0.000000:0.000000
docente? ¿Cuál es el valor de la incógnita que los estudiantes debieron asignar?:@0.304744:0.334748:0.886773:0.334748:0.886773:0.319078:0.304744:0.319078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como en el denominador la docente usó la letra  , la expresión es una expresión :@0.304744:0.358467:0.907104:0.358467:0.907104:0.342797:0.304744:0.342797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.669611:0.358467:0.677074:0.358467:0.677074:0.342105:0.669611:0.342105:0.000000
algebraica racional.:@0.304744:0.375063:0.445253:0.375063:0.445253:0.359393:0.304744:0.359393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El valor de la incógnita es 8, porque el tiempo de la corchea es   y el de la redonda :@0.304744:0.398533:0.907085:0.398547:0.907085:0.382877:0.304744:0.382863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.758635:0.390738:0.767628:0.390738:0.767628:0.375068:0.758635:0.375068:0.000000
2:@0.757851:0.410187:0.766843:0.410187:0.766843:0.394517:0.757851:0.394517:0.000000
es 4. Por lo tanto, el tiempo de la corchea está 8 veces en el tiempo de la redonda. :@0.304740:0.423690:0.907250:0.423690:0.907250:0.408021:0.304740:0.408021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las fracciones algebraicas son expresiones que se pueden representar como :@0.319266:0.463036:0.891168:0.463036:0.891168:0.447367:0.319266:0.447367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cociente de dos polinomios, es decir, como la división entre dos expresiones :@0.315913:0.479633:0.894559:0.479633:0.894559:0.463963:0.315913:0.463963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicas que contienen variables y constantes.:@0.315913:0.496229:0.677971:0.496229:0.677971:0.480559:0.315913:0.480559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una fracción algebraica puede ser simplificada. En el caso de que las :@0.315913:0.519948:0.894503:0.519948:0.894503:0.504278:0.315913:0.504278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones algebraicas que la conforman no sean monomios, previamente :@0.315913:0.536544:0.894522:0.536544:0.894522:0.520875:0.315913:0.520875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
serán factorizadas.:@0.315913:0.553141:0.449916:0.553141:0.449916:0.537471:0.315913:0.537471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.304744:0.579870:0.374249:0.579870:0.374249:0.564757:0.304744:0.564757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realizar cambios en los signos de la fracción :@0.304744:0.603657:0.631480:0.603657:0.631480:0.587987:0.304744:0.587987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.648126:0.595345:0.666609:0.595345:0.666609:0.578983:0.648126:0.578983:0.000000:0.000000
c:@0.657392:0.614793:0.665058:0.614793:0.665058:0.598431:0.657392:0.598431:0.000000
4:@0.667601:0.587682:0.672812:0.587682:0.672812:0.578601:0.667601:0.578601:0.000000
−:@0.634463:0.604981:0.644579:0.604981:0.644579:0.589408:0.634463:0.589408:0.000000
 sin alterarla.:@0.680053:0.603653:0.770383:0.603653:0.770383:0.587983:0.680053:0.587983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.304744:0.621994:0.368956:0.621994:0.368956:0.606882:0.304744:0.606882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.321391:0.648086:0.339873:0.648086:0.339873:0.631725:0.321391:0.631725:0.000000:0.000000
c:@0.330658:0.667535:0.338324:0.667535:0.338324:0.651174:0.330658:0.651174:0.000000
4:@0.340865:0.640424:0.346077:0.640424:0.346077:0.631342:0.340865:0.631342:0.000000
−:@0.307727:0.657722:0.317844:0.657722:0.317844:0.642149:0.307727:0.642149:0.000000
 =  :@0.353317:0.656698:0.376407:0.656698:0.376407:0.641029:0.353317:0.641029:0.000000:0.000000:0.000000:0.000000
ab:@0.404109:0.647133:0.422592:0.647133:0.422592:0.630772:0.404109:0.630772:0.000000:0.000000
c:@0.413323:0.666582:0.420989:0.666582:0.420989:0.650221:0.413323:0.650221:0.000000
4:@0.423584:0.639470:0.428795:0.639470:0.428795:0.630389:0.423584:0.630389:0.000000
−:@0.379399:0.656769:0.389516:0.656769:0.389516:0.641196:0.379399:0.641196:0.000000
−:@0.393054:0.647807:0.403171:0.647807:0.403171:0.632234:0.393054:0.632234:0.000000
−:@0.402276:0.667260:0.412393:0.667260:0.412393:0.651687:0.402276:0.651687:0.000000
 ; aplicar la ley de los signos (–)(–)(–), da menos (–).:@0.435049:0.656693:0.802271:0.656693:0.802271:0.641024:0.435049:0.641024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.304744:0.686139:0.374249:0.686139:0.374249:0.671027:0.304744:0.671027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplificar las fracciones algebraicas::@0.304744:0.710178:0.572497:0.710178:0.572497:0.694508:0.304744:0.694508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.333233:0.743343:0.352471:0.743343:0.352471:0.726207:0.333233:0.726207:0.000000:0.000000:0.000000
yz:@0.393558:0.735002:0.416501:0.735002:0.416501:0.718641:0.393558:0.718641:0.000000:0.000000
wy z:@0.386758:0.754447:0.422158:0.754447:0.422158:0.738086:0.386758:0.738086:0.000000:0.000000:0.000000:0.000000
2:@0.383294:0.735002:0.392287:0.735002:0.392287:0.719332:0.383294:0.719332:0.000000
8:@0.378005:0.754447:0.386998:0.754447:0.386998:0.738777:0.378005:0.738777:0.000000
2:@0.402666:0.727341:0.407878:0.727341:0.407878:0.718259:0.402666:0.718259:0.000000
5:@0.419519:0.727341:0.424731:0.727341:0.424731:0.718259:0.419519:0.718259:0.000000
34:@0.408530:0.746790:0.429238:0.746790:0.429238:0.737709:0.408530:0.737709:0.000000:0.000000
−:@0.364712:0.744638:0.374829:0.744638:0.374829:0.729065:0.364712:0.729065:0.000000
 :@0.437114:0.743338:0.440837:0.743338:0.440837:0.726202:0.437114:0.726202:0.000000
b)    :@0.485671:0.743338:0.517219:0.743338:0.517219:0.726202:0.485671:0.726202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.522766:0.735370:0.530229:0.735370:0.530229:0.719009:0.522766:0.719009:0.000000
xb:@0.555752:0.735370:0.572293:0.735370:0.572293:0.719009:0.555752:0.719009:0.000000:0.000000
x:@0.523500:0.754819:0.530963:0.754819:0.530963:0.738458:0.523500:0.738458:0.000000
b:@0.555011:0.754819:0.564280:0.754819:0.564280:0.738458:0.555011:0.738458:0.000000
2:@0.531876:0.727708:0.537088:0.727708:0.537088:0.718627:0.531876:0.718627:0.000000
2:@0.532608:0.747157:0.537820:0.747157:0.537820:0.738076:0.532608:0.738076:0.000000
2:@0.564861:0.747157:0.570072:0.747157:0.570072:0.738076:0.564861:0.738076:0.000000
+:@0.541403:0.736048:0.551520:0.736048:0.551520:0.720475:0.541403:0.720475:0.000000
−:@0.542137:0.755497:0.552254:0.755497:0.552254:0.739924:0.542137:0.739924:0.000000
Solución:@0.304744:0.774255:0.365404:0.774255:0.365404:0.759142:0.304744:0.759142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.333236:0.798294:0.352475:0.798294:0.352475:0.781159:0.333236:0.781159:0.000000:0.000000:0.000000
Aplicamos la propiedad de la potenciación de bases iguales. :@0.361725:0.798294:0.806694:0.798294:0.806694:0.782625:0.361725:0.782625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.333236:0.848415:0.336959:0.848415:0.336959:0.831280:0.333236:0.831280:0.000000
yz:@0.393558:0.823118:0.416501:0.823118:0.416501:0.806757:0.393558:0.806757:0.000000:0.000000
wy z:@0.386758:0.842564:0.422158:0.842564:0.422158:0.826203:0.386758:0.826203:0.000000:0.000000:0.000000:0.000000
y:@0.473295:0.823118:0.480776:0.823118:0.480776:0.806757:0.473295:0.806757:0.000000
z:@0.500678:0.823118:0.507920:0.823118:0.507920:0.806757:0.500678:0.806757:0.000000
w:@0.493233:0.842564:0.505967:0.842564:0.505967:0.826203:0.493233:0.826203:0.000000
yz:@0.561913:0.823118:0.589260:0.823118:0.589260:0.806757:0.561913:0.806757:0.000000:0.000000
w:@0.573265:0.842564:0.585998:0.842564:0.585998:0.826203:0.573265:0.826203:0.000000
z:@0.621840:0.823118:0.629082:0.823118:0.629082:0.806757:0.621840:0.806757:0.000000
wy:@0.619647:0.842564:0.639788:0.842564:0.639788:0.826203:0.619647:0.826203:0.000000:0.000000
2:@0.383276:0.823118:0.392268:0.823118:0.392268:0.807449:0.383276:0.807449:0.000000
8:@0.377987:0.842564:0.386980:0.842564:0.386980:0.826894:0.377987:0.826894:0.000000
2:@0.463012:0.823118:0.472005:0.823118:0.472005:0.807449:0.463012:0.807449:0.000000
8:@0.484480:0.842564:0.493473:0.842564:0.493473:0.826894:0.484480:0.826894:0.000000
4:@0.564161:0.842564:0.573154:0.842564:0.573154:0.826894:0.564161:0.826894:0.000000
4:@0.610544:0.842564:0.619536:0.842564:0.619536:0.826894:0.610544:0.826894:0.000000
2:@0.402666:0.815456:0.407878:0.815456:0.407878:0.806375:0.402666:0.806375:0.000000
5:@0.419519:0.815456:0.424731:0.815456:0.424731:0.806375:0.419519:0.806375:0.000000
34:@0.408530:0.834901:0.429237:0.834901:0.429237:0.825820:0.408530:0.825820:0.000000:0.000000
23 54:@0.482401:0.815456:0.526668:0.815456:0.526668:0.806375:0.482401:0.806375:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.577001:0.815456:0.582213:0.815456:0.582213:0.806375:0.577001:0.806375:0.000000
−:@0.364712:0.832754:0.374829:0.832754:0.374829:0.817182:0.364712:0.817182:0.000000
= −:@0.435972:0.832754:0.459854:0.832754:0.459854:0.817182:0.435972:0.817182:0.000000:0.000000:0.000000
= −:@0.533399:0.832754:0.557281:0.832754:0.557281:0.817182:0.533399:0.817182:0.000000:0.000000:0.000000
=:@0.594966:0.832754:0.605082:0.832754:0.605082:0.817182:0.594966:0.817182:0.000000
−:@0.487894:0.815849:0.493757:0.815849:0.493757:0.806824:0.487894:0.806824:0.000000
−:@0.514647:0.815849:0.520510:0.815849:0.520510:0.806824:0.514647:0.806824:0.000000
−:@0.571238:0.815849:0.577101:0.815849:0.577101:0.806824:0.571238:0.806824:0.000000
b) :@0.333236:0.864350:0.353617:0.864350:0.353617:0.847215:0.333236:0.847215:0.000000:0.000000:0.000000
Factorizamos la expresión del numerador y la del denominador  :@0.361725:0.864350:0.832679:0.864350:0.832679:0.848681:0.361725:0.848681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y simplificamos.:@0.361725:0.880947:0.477891:0.880947:0.477891:0.865277:0.361725:0.865277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.304747:0.929823:0.308783:0.929823:0.308783:0.914153:0.304747:0.914153:0.000000
+:@0.392829:0.906014:0.402946:0.906014:0.402946:0.890441:0.392829:0.890441:0.000000
−:@0.393769:0.925459:0.403886:0.925459:0.403886:0.909886:0.393769:0.909886:0.000000
=:@0.428376:0.914533:0.438493:0.914533:0.438493:0.898960:0.428376:0.898960:0.000000
+:@0.488432:0.906014:0.498549:0.906014:0.498549:0.890441:0.488432:0.890441:0.000000
+:@0.459998:0.925459:0.470115:0.925459:0.470115:0.909886:0.459998:0.909886:0.000000
−:@0.506233:0.925459:0.516350:0.925459:0.516350:0.909886:0.506233:0.909886:0.000000
=:@0.538260:0.914533:0.548377:0.914533:0.548377:0.898960:0.538260:0.898960:0.000000
−:@0.565017:0.925459:0.575134:0.925459:0.575134:0.909886:0.565017:0.909886:0.000000
x:@0.372708:0.905336:0.380614:0.905336:0.385207:0.889666:0.377302:0.889666:0.000000
xb:@0.404072:0.905336:0.421873:0.905336:0.426466:0.889666:0.408665:0.889666:0.000000:0.000000
x:@0.373218:0.924781:0.381124:0.924781:0.385717:0.909112:0.377811:0.909112:0.000000
b:@0.403845:0.924781:0.414017:0.924781:0.418610:0.909112:0.408438:0.909112:0.000000
xx b:@0.459594:0.905336:0.508667:0.905336:0.513261:0.889666:0.464188:0.889666:0.000000:0.000000:0.000000:0.000000
xb xb:@0.447132:0.924781:0.526463:0.924781:0.531056:0.909112:0.451725:0.909112:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.563987:0.905336:0.571892:0.905336:0.576486:0.889666:0.568580:0.889666:0.000000
xb:@0.551745:0.924781:0.585265:0.924781:0.589858:0.909112:0.556338:0.909112:0.000000:0.000000
(:@0.470519:0.905336:0.475402:0.905336:0.475402:0.889666:0.470519:0.889666:0.000000
):@0.511723:0.905336:0.516606:0.905336:0.516606:0.889666:0.511723:0.889666:0.000000
(:@0.442085:0.924781:0.446968:0.924781:0.446968:0.909112:0.442085:0.909112:0.000000
)(:@0.483289:0.924781:0.492779:0.924781:0.492779:0.909112:0.483289:0.909112:0.000000:0.000000
):@0.529524:0.924781:0.534407:0.924781:0.534407:0.909112:0.529524:0.909112:0.000000
2:@0.384349:0.897675:0.389561:0.897675:0.389561:0.888594:0.384349:0.888594:0.000000
2:@0.384873:0.917120:0.390084:0.917120:0.390084:0.908039:0.384873:0.908039:0.000000
2:@0.416655:0.917120:0.421867:0.917120:0.421867:0.908039:0.416655:0.908039:0.000000
Toda fracción algebraica :@0.106213:0.587979:0.270973:0.587979:0.270973:0.573734:0.106213:0.573734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene tres signos: uno :@0.106213:0.603067:0.251673:0.603067:0.251673:0.588822:0.106213:0.588822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el numerador, otro :@0.106213:0.618155:0.254822:0.618155:0.254822:0.603909:0.106213:0.603909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el denominador y el :@0.106213:0.633242:0.264289:0.633242:0.264289:0.618997:0.106213:0.618997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tercero que es propio :@0.106213:0.648330:0.253164:0.648330:0.253164:0.634085:0.106213:0.634085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la fracción, ubicado :@0.106213:0.663417:0.260218:0.663417:0.260218:0.649172:0.106213:0.649172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la línea de fracción.:@0.106213:0.678505:0.254338:0.678505:0.254338:0.664260:0.106213:0.664260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.147281:0.701349:0.154749:0.701349:0.154749:0.685984:0.147281:0.685984:0.000000
xz:@0.139652:0.720763:0.162553:0.720763:0.162553:0.705398:0.139652:0.705398:0.000000:0.000000
a:@0.228225:0.701349:0.237478:0.701349:0.237478:0.685984:0.228225:0.685984:0.000000
bc:@0.220752:0.720763:0.244076:0.720763:0.244076:0.705398:0.220752:0.705398:0.000000:0.000000
2:@0.148745:0.713114:0.153947:0.713114:0.153947:0.704050:0.148745:0.704050:0.000000
3:@0.238049:0.693702:0.243251:0.693702:0.243251:0.684637:0.238049:0.684637:0.000000
25:@0.230576:0.713112:0.250308:0.713112:0.250308:0.704047:0.230576:0.704047:0.000000:0.000000
−:@0.113890:0.710967:0.123988:0.710967:0.123988:0.695423:0.113890:0.695423:0.000000
−:@0.135158:0.702025:0.145256:0.702025:0.145256:0.686481:0.135158:0.686481:0.000000
+:@0.127524:0.721435:0.137622:0.721435:0.137622:0.705891:0.127524:0.705891:0.000000
+:@0.195398:0.710957:0.205496:0.710957:0.205496:0.695413:0.195398:0.695413:0.000000
−:@0.217195:0.702011:0.227293:0.702011:0.227293:0.686467:0.217195:0.686467:0.000000
−:@0.210094:0.721421:0.220193:0.721421:0.220193:0.705877:0.210094:0.705877:0.000000
Recuerda que...:@0.136265:0.562953:0.258346:0.562953:0.258346:0.546052:0.136265:0.546052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Es correcto decir que::@0.311726:0.179437:0.476265:0.179437:0.476265:0.163767:0.311726:0.163767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.476266:0.195784:0.480302:0.195784:0.480302:0.180115:0.476266:0.180115:0.000000
5:@0.502288:0.172993:0.511281:0.172993:0.511281:0.157324:0.502288:0.157324:0.000000
4:@0.506895:0.192442:0.515888:0.192442:0.515888:0.176773:0.506895:0.176773:0.000000
5:@0.546734:0.172993:0.555726:0.172993:0.555726:0.157324:0.546734:0.157324:0.000000
4:@0.546157:0.192442:0.555150:0.192442:0.555150:0.176773:0.546157:0.176773:0.000000
5:@0.576050:0.172993:0.585043:0.172993:0.585043:0.157324:0.576050:0.157324:0.000000
4:@0.575841:0.192442:0.584834:0.192442:0.584834:0.176773:0.575841:0.176773:0.000000
−:@0.483284:0.182629:0.493401:0.182629:0.493401:0.167056:0.483284:0.167056:0.000000
−:@0.496947:0.193120:0.507064:0.193120:0.507064:0.177547:0.496947:0.177547:0.000000
=:@0.520977:0.182629:0.531094:0.182629:0.531094:0.167056:0.520977:0.167056:0.000000
−:@0.536788:0.173667:0.546905:0.173667:0.546905:0.158094:0.536788:0.158094:0.000000
−:@0.536212:0.193120:0.546328:0.193120:0.546328:0.177547:0.536212:0.177547:0.000000
=:@0.560240:0.182629:0.570356:0.182629:0.570356:0.167056:0.560240:0.167056:0.000000
?:@0.590866:0.179434:0.597887:0.179434:0.597887:0.163765:0.590866:0.163765:0.000000
  :@0.597887:0.195782:0.605958:0.195782:0.605958:0.180112:0.597887:0.180112:0.000000:0.000000
Desequilibrio cognitivo:@0.344931:0.143373:0.522686:0.143373:0.522686:0.126472:0.344931:0.126472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.147889:0.176756:0.162523:0.176756:0.162523:0.151023:0.147889:0.151023:0.000000
x:@0.152917:0.190331:0.162293:0.190331:0.162293:0.172063:0.152917:0.172063:0.000000
Notas musicales.:@0.096359:0.215504:0.195716:0.215504:0.195716:0.202683:0.096359:0.202683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 45601951.:@0.092143:0.217914:0.092143:0.146317:0.080755:0.146317:0.080755:0.217914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.100261:0.797160:0.153852:0.797160:0.153852:0.781796:0.100261:0.781796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.153852:0.797160:0.237578:0.797160:0.237578:0.782915:0.153852:0.782915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace: :@0.100261:0.812248:0.150702:0.812248:0.150702:0.798003:0.100261:0.798003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9m21:@0.150702:0.812248:0.240612:0.812248:0.240612:0.797123:0.150702:0.797123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza:@0.100261:0.834464:0.150032:0.834464:0.150032:0.819100:0.100261:0.819100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ejercicios :@0.149764:0.834464:0.216120:0.834464:0.216120:0.820219:0.149764:0.820219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interactivos y :@0.100261:0.849552:0.188395:0.849552:0.188395:0.835307:0.100261:0.835307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evalúa:@0.188127:0.849552:0.234648:0.849552:0.234648:0.834188:0.188127:0.834188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.234648:0.849552:0.238317:0.849552:0.238317:0.835307:0.234648:0.835307:0.000000
tu aprendizaje de :@0.100261:0.864640:0.215685:0.864640:0.215685:0.850394:0.100261:0.850394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorización.:@0.100261:0.879727:0.185111:0.879727:0.185111:0.865482:0.100261:0.865482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Me refuerzo:@0.132832:0.772649:0.228525:0.772649:0.228525:0.755749:0.132832:0.755749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el pentagrama, :@0.106529:0.290271:0.228219:0.290271:0.228219:0.276025:0.106529:0.276025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
después de la clave se :@0.106529:0.305358:0.254235:0.305358:0.254235:0.291113:0.106529:0.291113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ubica la denominada :@0.106529:0.320446:0.248054:0.320446:0.248054:0.306201:0.106529:0.306201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cifra o fórmula de :@0.106529:0.335533:0.224299:0.335533:0.224299:0.321288:0.106529:0.321288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compás, que es una :@0.106529:0.350621:0.240247:0.350621:0.240247:0.336376:0.106529:0.336376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracción sin línea. El :@0.106529:0.365709:0.235724:0.365709:0.235724:0.351463:0.106529:0.351463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador indica :@0.106529:0.380796:0.243095:0.380796:0.243095:0.366551:0.106529:0.366551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las veces que la figura :@0.106529:0.395884:0.252108:0.395884:0.252108:0.381639:0.106529:0.381639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
musical tomada :@0.106529:0.410971:0.214716:0.410971:0.214716:0.396726:0.106529:0.396726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de referencia está :@0.106529:0.426059:0.224669:0.426059:0.224669:0.411814:0.106529:0.411814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contenida dentro de la :@0.106529:0.441147:0.258907:0.441147:0.258907:0.426901:0.106529:0.426901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
redonda, en tanto que :@0.106529:0.456234:0.256328:0.456234:0.256328:0.441989:0.106529:0.441989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el numerador indica el :@0.106529:0.471322:0.256447:0.471322:0.256447:0.457077:0.106529:0.457077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de veces que :@0.106529:0.486410:0.252342:0.486410:0.252342:0.472164:0.106529:0.472164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ese tiempo tomado está :@0.106529:0.501497:0.269363:0.501497:0.269363:0.487252:0.106529:0.487252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentro de un compás. :@0.106529:0.516585:0.254135:0.516585:0.254135:0.502340:0.106529:0.502340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.254543:0.250102:0.254543:0.250102:0.237642:0.136865:0.237642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.136865:0.268373:0.262394:0.268373:0.262394:0.251473:0.136865:0.251473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.32.:@0.098034:0.944274:0.143944:0.944274:0.143944:0.933519:0.098034:0.933519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calcular expresiones numéricas y algebraicas usando las operaciones básicas y las propiedades algebraicas en R.:@0.143944:0.944274:0.668252:0.944274:0.668252:0.934303:0.143944:0.934303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí, es correcto porque al aplicar la ley de signos se obtiene :@0.606867:0.168774:0.893429:0.168774:0.893429:0.158802:0.606867:0.158802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la fracción :@0.606867:0.188893:0.657104:0.188893:0.657104:0.178921:0.606867:0.178921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.660501:0.182445:0.666571:0.182445:0.666571:0.171868:0.660501:0.171868:0.000000
4:@0.660364:0.195570:0.666434:0.195570:0.666434:0.184993:0.660364:0.184993:0.000000
.:@0.669547:0.188892:0.671588:0.188892:0.671588:0.178920:0.669547:0.178920:0.000000