8:@0.048054:0.510692:0.057508:0.510692:0.057508:0.494068:0.048054:0.494068:0.000000 Representación de fracciones en la recta numérica:@0.114793:0.104179:0.620816:0.104179:0.620816:0.082669:0.114793:0.082669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para representar fracciones en la recta numérica, se divide la parte entera en tantas veces como indica :@0.114793:0.123395:0.884532:0.123395:0.884532:0.107006:0.114793:0.107006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.880462:0.123395:0.884497:0.123395:0.884497:0.107006:0.880462:0.107006:0.000000 el denominador y luego se cuentan sobre la recta las partes que indica el numerador de la fracción, hacia :@0.114793:0.139992:0.884385:0.139992:0.884385:0.123603:0.114793:0.123603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la derecha si la fracción es positiva o a la izquierda si es negativa.:@0.114793:0.156588:0.584416:0.156588:0.584416:0.140199:0.114793:0.140199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Fracciones equivalentes:@0.114793:0.185700:0.322112:0.185700:0.322112:0.167263:0.114793:0.167263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dos fracciones son equivalentes cuando su cociente es el mismo, es decir representan la misma cantidad. :@0.114793:0.205546:0.884402:0.205546:0.884402:0.189157:0.114793:0.189157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.880366:0.205546:0.884402:0.205546:0.884402:0.189157:0.880366:0.189157:0.000000 a :@0.114793:0.218685:0.130697:0.218685:0.130697:0.202324:0.114793:0.202324:0.000000:0.000000:0.000000 b :@0.114793:0.237342:0.130697:0.237342:0.130697:0.220981:0.114793:0.220981:0.000000:0.000000:0.000000 = :@0.134345:0.227702:0.153399:0.227702:0.153399:0.211313:0.134345:0.211313:0.000000:0.000000:0.000000 c :@0.153403:0.218685:0.167702:0.218685:0.167702:0.202324:0.153403:0.202324:0.000000:0.000000:0.000000 d :@0.153403:0.237342:0.169306:0.237342:0.169306:0.220981:0.153403:0.220981:0.000000:0.000000:0.000000 si y solo si ∙ = ∙:@0.172346:0.227702:0.314257:0.227702:0.314257:0.211313:0.172346:0.211313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a d b c:@0.252470:0.227702:0.325240:0.227702:0.325240:0.211341:0.252470:0.211341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Se obtienen fracciones equivalentes por amplificación y simplificación.:@0.114797:0.254989:0.631928:0.254989:0.631928:0.238601:0.114797:0.238601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Actividad resuelta:@0.114793:0.284098:0.271916:0.284098:0.271916:0.265661:0.114793:0.265661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.114793:0.308244:0.137257:0.308244:0.137257:0.291108:0.114793:0.291108:0.000000:0.000000:0.000000:0.000000 Ubicamos:@0.148037:0.308244:0.224677:0.308244:0.224677:0.291620:0.148037:0.291620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la recta numérica – y .:@0.224677:0.308244:0.461678:0.308246:0.461678:0.291857:0.224677:0.291855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7 :@0.393689:0.300487:0.410753:0.300487:0.410753:0.284098:0.393689:0.284098:0.000000:0.000000:0.000000 4 :@0.393689:0.319144:0.410753:0.319144:0.410753:0.302756:0.393689:0.302756:0.000000:0.000000:0.000000 1 :@0.436009:0.300487:0.453073:0.300487:0.453073:0.284098:0.436009:0.284098:0.000000:0.000000:0.000000 3 :@0.436009:0.319144:0.453073:0.319144:0.453073:0.302756:0.436009:0.302756:0.000000:0.000000:0.000000 Convertimos:@0.148040:0.336266:0.246202:0.336266:0.246202:0.319642:0.148040:0.319642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la fracción – en fracción mixta, :@0.246202:0.336266:0.502842:0.336269:0.502842:0.319880:0.246202:0.319877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7 :@0.343941:0.328510:0.361005:0.328510:0.361005:0.312121:0.343941:0.312121:0.000000:0.000000:0.000000 4 :@0.343941:0.347167:0.361005:0.347167:0.361005:0.330778:0.343941:0.330778:0.000000:0.000000:0.000000 ubicamos:@0.503672:0.336269:0.578543:0.336269:0.578543:0.319645:0.503672:0.319645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la recta la parte entera, :@0.578543:0.336269:0.781190:0.336269:0.781190:0.319880:0.578543:0.319880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 dividimos:@0.782038:0.336269:0.857407:0.336269:0.857407:0.319645:0.782038:0.319645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –1 :@0.857407:0.336269:0.884532:0.336269:0.884532:0.319880:0.857407:0.319880:0.000000:0.000000:0.000000:0.000000 :@0.880443:0.336269:0.884479:0.336269:0.884479:0.319880:0.880443:0.319880:0.000000 y –2 en cuatro partes y :@0.148018:0.361412:0.322452:0.361412:0.322452:0.345024:0.148018:0.345024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 contamos:@0.322452:0.361412:0.398632:0.361412:0.398632:0.344788:0.322452:0.344788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tres de estas hacia la izquierda de –1.:@0.398632:0.361412:0.672006:0.361412:0.672006:0.345024:0.398632:0.345024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.114775:0.389433:0.118811:0.389433:0.118811:0.373044:0.114775:0.373044:0.000000 Para ubicar la fracción :@0.148018:0.389433:0.310955:0.389433:0.310955:0.373044:0.148018:0.373044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 :@0.310719:0.381680:0.327783:0.381680:0.327783:0.365291:0.310719:0.365291:0.000000:0.000000:0.000000 3 :@0.310719:0.400337:0.327783:0.400337:0.327783:0.383948:0.310719:0.383948:0.000000:0.000000:0.000000 :@0.330382:0.389439:0.334417:0.389439:0.334417:0.373050:0.330382:0.373050:0.000000 dividimos:@0.334159:0.389439:0.409528:0.389439:0.409528:0.372815:0.334159:0.372815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre 0 y 1 en tres partes y :@0.409528:0.389439:0.608068:0.389439:0.608068:0.373050:0.409528:0.373050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 contamos:@0.607810:0.389439:0.683989:0.389439:0.683989:0.372815:0.607810:0.372815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una de estas hacia la dere-:@0.683989:0.389439:0.880465:0.389439:0.880465:0.373050:0.683989:0.373050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cha de 0.:@0.148040:0.406035:0.213735:0.406035:0.213735:0.389646:0.148040:0.389646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. :@0.114797:0.518268:0.137260:0.518268:0.137260:0.501133:0.114797:0.501133:0.000000:0.000000:0.000000:0.000000 Hallamos :@0.148040:0.518268:0.223206:0.518268:0.223206:0.501644:0.148040:0.501644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por amplificación tres fracciones equivalentes a :@0.223206:0.518268:0.574362:0.518268:0.574362:0.501879:0.223206:0.501879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 :@0.574352:0.510506:0.591416:0.510506:0.591416:0.494117:0.574352:0.494117:0.000000:0.000000:0.000000 3 :@0.574352:0.529163:0.591416:0.529163:0.591416:0.512774:0.574352:0.512774:0.000000:0.000000:0.000000 .:@0.594014:0.518264:0.597220:0.518264:0.597220:0.501876:0.594014:0.501876:0.000000 Multiplicamos:@0.148047:0.541983:0.256897:0.541983:0.256897:0.525359:0.148047:0.525359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el numerador y denominador por el mismo número. :@0.256897:0.541983:0.648595:0.541983:0.648595:0.525595:0.256897:0.525595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.114803:0.584014:0.118526:0.584014:0.118526:0.566878:0.114803:0.566878:0.000000 1 × 2:@0.148035:0.562474:0.185075:0.562474:0.185075:0.546085:0.148035:0.546085:0.000000:0.000000:0.000000:0.000000:0.000000 3 × 2 6 :@0.148035:0.581131:0.220278:0.580910:0.220278:0.564521:0.148035:0.564742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = ; :@0.188189:0.571270:0.242834:0.571270:0.242834:0.554881:0.188189:0.554881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.207250:0.562252:0.216242:0.562252:0.216242:0.545864:0.207250:0.545864:0.000000 1 × 3:@0.242830:0.562509:0.279870:0.562509:0.279870:0.546120:0.242830:0.546120:0.000000:0.000000:0.000000:0.000000:0.000000 3 × 3 9 :@0.242830:0.581166:0.315075:0.580910:0.315075:0.564521:0.242830:0.564777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = ; :@0.282984:0.571277:0.337630:0.571270:0.337630:0.554881:0.282984:0.554888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.302047:0.562252:0.311039:0.562252:0.311039:0.545864:0.302047:0.545864:0.000000 1 × 5:@0.337627:0.562474:0.374667:0.562474:0.374667:0.546085:0.337627:0.546085:0.000000:0.000000:0.000000:0.000000:0.000000 3 × 5 15 :@0.337627:0.581131:0.418864:0.581265:0.418864:0.564876:0.337627:0.564742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = :@0.377781:0.571270:0.396835:0.571270:0.396835:0.554881:0.377781:0.554881:0.000000:0.000000:0.000000 5 :@0.396843:0.562608:0.413907:0.562608:0.413907:0.546219:0.396843:0.546219:0.000000:0.000000:0.000000 3. :@0.114790:0.612052:0.137253:0.612052:0.137253:0.594916:0.114790:0.594916:0.000000:0.000000:0.000000:0.000000 Simplificamos:@0.148033:0.612052:0.255503:0.612052:0.255503:0.595428:0.148033:0.595428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la fracción :@0.255503:0.612052:0.342519:0.612052:0.342519:0.595663:0.255503:0.595663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 105 :@0.342517:0.604283:0.373531:0.604283:0.373531:0.587894:0.342517:0.587894:0.000000:0.000000:0.000000:0.000000 315 :@0.342517:0.622940:0.373531:0.622940:0.373531:0.606551:0.342517:0.606551:0.000000:0.000000:0.000000:0.000000 .:@0.376885:0.612042:0.380091:0.612042:0.380091:0.595653:0.376885:0.595653:0.000000 Dividimos:@0.148050:0.639329:0.225299:0.639329:0.225299:0.622705:0.148050:0.622705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 al numerador y denominador por un mismo número primo, sucesivamente hasta que :@0.225299:0.639329:0.884512:0.639329:0.884512:0.622940:0.225299:0.622940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la fracción sea irreducible, es decir hasta que no haya un número primo por el que podamos dividir :@0.148050:0.655925:0.884562:0.655925:0.884562:0.639536:0.148050:0.639536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.880475:0.655925:0.884511:0.655925:0.884511:0.639536:0.880475:0.639536:0.000000 a los términos de la fracción.:@0.148050:0.672521:0.355801:0.672521:0.355801:0.656133:0.148050:0.656133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.114807:0.720803:0.118842:0.720803:0.118842:0.704414:0.114807:0.704414:0.000000 105 ÷ 3:@0.148035:0.693009:0.203060:0.693009:0.203060:0.676620:0.148035:0.676620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 315 ÷ 3 105 ÷ 5 21 ÷ 7 3 :@0.148035:0.711666:0.373752:0.711445:0.373752:0.695056:0.148035:0.695277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = :@0.205585:0.701805:0.224639:0.701805:0.224639:0.685416:0.205585:0.685416:0.000000:0.000000:0.000000 35 ÷ 5 7 ÷ 7 :@0.224634:0.692788:0.340740:0.693044:0.340740:0.676656:0.224634:0.676399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ; :@0.280322:0.701805:0.295635:0.701805:0.295635:0.685416:0.280322:0.685416:0.000000:0.000000:0.000000:0.000000 = :@0.341661:0.701813:0.360715:0.701813:0.360715:0.685424:0.341661:0.685424:0.000000:0.000000:0.000000 1:@0.360724:0.692788:0.369716:0.692788:0.369716:0.676399:0.360724:0.676399:0.000000 3 :@0.270323:0.432333:0.287387:0.432333:0.287387:0.415944:0.270323:0.415944:0.000000:0.000000:0.000000 :@0.270323:0.450990:0.287387:0.450990:0.287387:0.434601:0.270323:0.434601:0.000000:0.000000:0.000000 4:@0.274358:0.450990:0.283351:0.450990:0.283351:0.434601:0.274358:0.434601:0.000000 –1:@0.249757:0.441834:0.267964:0.441834:0.267964:0.425446:0.249757:0.425446:0.000000:0.000000 1 :@0.542765:0.432333:0.559829:0.432333:0.559829:0.415944:0.542765:0.415944:0.000000:0.000000:0.000000 :@0.542765:0.450990:0.559829:0.450990:0.559829:0.434601:0.542765:0.434601:0.000000:0.000000:0.000000 3:@0.546801:0.450990:0.555793:0.450990:0.555793:0.434601:0.546801:0.434601:0.000000 –2:@0.230159:0.477420:0.248365:0.477420:0.248365:0.461031:0.230159:0.461031:0.000000:0.000000 –1:@0.383882:0.477420:0.402089:0.477420:0.402089:0.461031:0.383882:0.461031:0.000000:0.000000 0:@0.508563:0.477420:0.517556:0.477420:0.517556:0.461031:0.508563:0.461031:0.000000 1:@0.622833:0.477420:0.631826:0.477420:0.631826:0.461031:0.622833:0.461031:0.000000 1. :@0.115769:0.804658:0.134510:0.804658:0.134510:0.787522:0.115769:0.787522:0.000000:0.000000:0.000000 Ubica :@0.149013:0.804658:0.196777:0.804658:0.196777:0.788034:0.149013:0.788034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la recta numérica los siguientes números racionales.:@0.196777:0.804658:0.599880:0.804658:0.599880:0.788269:0.196777:0.788269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.149013:0.833936:0.167735:0.833936:0.167735:0.817036:0.149013:0.817036:0.000000:0.000000:0.000000 – :@0.182256:0.833936:0.195045:0.833936:0.195045:0.817547:0.182256:0.817547:0.000000:0.000000 4 :@0.194580:0.824925:0.211644:0.824925:0.211644:0.808536:0.194580:0.808536:0.000000:0.000000:0.000000 5:@0.194580:0.843582:0.207608:0.843582:0.207608:0.827193:0.194580:0.827193:0.000000:0.000000 :@0.217854:0.833943:0.240409:0.833943:0.240409:0.817554:0.217854:0.817554:0.000000:0.000000 :@0.296682:0.833943:0.300718:0.833943:0.300718:0.817554:0.296682:0.817554:0.000000 b):@0.357001:0.833943:0.373217:0.833943:0.373217:0.817042:0.357001:0.817042:0.000000:0.000000 :@0.373217:0.833943:0.385324:0.833943:0.385324:0.817554:0.373217:0.817554:0.000000:0.000000:0.000000 2 :@0.385326:0.824925:0.402390:0.824925:0.402390:0.808536:0.385326:0.808536:0.000000:0.000000:0.000000 3:@0.385326:0.843582:0.398354:0.843582:0.398354:0.827193:0.385326:0.827193:0.000000:0.000000 :@0.409061:0.833943:0.421334:0.833943:0.421334:0.817554:0.409061:0.817554:0.000000:0.000000 :@0.477606:0.833943:0.481642:0.833943:0.481642:0.817554:0.477606:0.817554:0.000000 c) :@0.537925:0.833943:0.555561:0.833943:0.555561:0.817042:0.537925:0.817042:0.000000:0.000000:0.000000 – :@0.555561:0.833943:0.575960:0.833943:0.575960:0.817554:0.555561:0.817554:0.000000:0.000000:0.000000:0.000000 16 :@0.575042:0.826183:0.599938:0.826183:0.599938:0.809794:0.575042:0.809794:0.000000:0.000000:0.000000:0.000000 8:@0.575042:0.844840:0.588070:0.844840:0.588070:0.828451:0.575042:0.828451:0.000000:0.000000 :@0.597855:0.833941:0.602260:0.833941:0.602260:0.817552:0.597855:0.817552:0.000000:0.000000 d):@0.658538:0.833941:0.674791:0.833941:0.674791:0.817041:0.658538:0.817041:0.000000:0.000000 :@0.674791:0.833941:0.686898:0.833941:0.686898:0.817552:0.674791:0.817552:0.000000:0.000000:0.000000 7 :@0.686906:0.824925:0.703970:0.824925:0.703970:0.808536:0.686906:0.808536:0.000000:0.000000:0.000000 4:@0.686906:0.843582:0.699934:0.843582:0.699934:0.827193:0.686906:0.827193:0.000000:0.000000 Taller:@0.176405:0.767192:0.237300:0.767192:0.237300:0.733245:0.176405:0.733245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Reconoce y representa gráficamente y en la recta numérica los elementos del conjunto de los números racionales. Genera fracciones :@0.257427:0.749937:0.878328:0.749937:0.878328:0.739508:0.257427:0.739508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 equivalentes. (Ref. I.M.4.1.3.):@0.257427:0.760499:0.385504:0.760499:0.385504:0.750069:0.257427:0.750069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –2:@0.190772:0.866446:0.208979:0.866446:0.208979:0.850057:0.190772:0.850057:0.000000:0.000000 –1:@0.354004:0.866446:0.372211:0.866446:0.372211:0.850057:0.354004:0.850057:0.000000:0.000000 0:@0.519282:0.866446:0.528274:0.866446:0.528274:0.850057:0.519282:0.850057:0.000000 1:@0.676746:0.866446:0.685738:0.866446:0.685738:0.850057:0.676746:0.850057:0.000000 2:@0.819376:0.866446:0.828368:0.866446:0.828368:0.850057:0.819376:0.850057:0.000000 2:@0.739334:0.477419:0.748327:0.477419:0.748327:0.461030:0.739334:0.461030:0.000000 16:@0.193015:0.897088:0.211001:0.897088:0.211001:0.880699:0.193015:0.880699:0.000000:0.000000 8 :@0.193015:0.915745:0.210079:0.915745:0.210079:0.899356:0.193015:0.899356:0.000000:0.000000:0.000000 – :@0.179711:0.906589:0.192960:0.906589:0.192960:0.890201:0.179711:0.890201:0.000000:0.000000 4 :@0.393108:0.897088:0.410172:0.897088:0.410172:0.880699:0.393108:0.880699:0.000000:0.000000:0.000000 5 :@0.393108:0.915745:0.410172:0.915745:0.410172:0.899356:0.393108:0.899356:0.000000:0.000000:0.000000 – :@0.379803:0.906589:0.393052:0.906589:0.393052:0.890201:0.379803:0.890201:0.000000:0.000000 2 :@0.621679:0.897088:0.638743:0.897088:0.638743:0.880699:0.621679:0.880699:0.000000:0.000000:0.000000 3 :@0.621679:0.915745:0.638743:0.915745:0.638743:0.899356:0.621679:0.899356:0.000000:0.000000:0.000000 7 :@0.777463:0.897088:0.794527:0.897088:0.794527:0.880699:0.777463:0.880699:0.000000:0.000000:0.000000 4 :@0.777463:0.915745:0.794527:0.915745:0.794527:0.899356:0.777463:0.899356:0.000000:0.000000:0.000000