104:@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
Adición y sustracción con números :@0.305293:0.069842:0.761673:0.069842:0.761673:0.042186:0.305293:0.042186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales:@0.305293:0.096253:0.437791:0.096253:0.437791:0.068597:0.305293:0.068597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los estudiantes están pintando carteles para una presentación de teatro. Paulina :@0.305303:0.216231:0.907738:0.216231:0.907738:0.200561:0.305303:0.200561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha pintado la mitad del paisaje y está ayudando a Carlos a pintar tres partes de lo :@0.305303:0.232827:0.907686:0.232827:0.907686:0.217157:0.305303:0.217157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que le ha tocado. ¿Cuánto pintó en total Paulina?:@0.305303:0.249423:0.664196:0.249423:0.664196:0.233754:0.305303:0.233754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para saber cuánto pintó Paulina, se suman las partes que pintó.    :@0.305303:0.272893:0.781097:0.272893:0.781097:0.257224:0.305303:0.257224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.827008:0.261896:0.836001:0.261896:0.836001:0.246226:0.827008:0.246226:0.000000
8:@0.826641:0.283034:0.835634:0.283034:0.835634:0.267364:0.826641:0.267364:0.000000
1:@0.786017:0.261581:0.794192:0.261581:0.794192:0.247336:0.786017:0.247336:0.000000
2:@0.785336:0.282719:0.793512:0.282719:0.793512:0.268474:0.785336:0.268474:0.000000
+:@0.804863:0.272318:0.814980:0.272318:0.814980:0.256745:0.804863:0.256745:0.000000
Se calcula el m.c.m. de los denominadores.:@0.448233:0.302661:0.760705:0.302661:0.760705:0.286992:0.448233:0.286992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se encuentran las fracciones equivalentes con el m.c.m. del denominador (en este :@0.305308:0.389211:0.907704:0.389211:0.907704:0.373542:0.305308:0.373542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso, solo de la primera fracción porque la segunda fracción tiene como denomi-:@0.305308:0.405808:0.903689:0.405808:0.903689:0.390138:0.305308:0.390138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nador el 8).:@0.305308:0.422404:0.386814:0.422404:0.386814:0.406734:0.305308:0.406734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.560601:0.440521:0.570718:0.440521:0.570718:0.424948:0.560601:0.424948:0.000000
+:@0.631124:0.440521:0.641241:0.440521:0.641241:0.424948:0.631124:0.424948:0.000000
=:@0.659911:0.440521:0.670028:0.440521:0.670028:0.424948:0.659911:0.424948:0.000000
×:@0.532174:0.430401:0.541371:0.430401:0.541371:0.416243:0.532174:0.416243:0.000000
×:@0.533953:0.451538:0.543150:0.451538:0.543150:0.437381:0.533953:0.437381:0.000000
;:@0.589918:0.440157:0.593416:0.440157:0.593416:0.423063:0.589918:0.423063:0.000000
4:@0.576829:0.430099:0.585822:0.430099:0.585822:0.414429:0.576829:0.414429:0.000000
8:@0.576672:0.451237:0.585665:0.451237:0.585665:0.435567:0.576672:0.435567:0.000000
4:@0.617454:0.430099:0.626447:0.430099:0.626447:0.414429:0.617454:0.414429:0.000000
8:@0.617297:0.451237:0.626289:0.451237:0.626289:0.435567:0.617297:0.435567:0.000000
3:@0.645933:0.430099:0.654926:0.430099:0.654926:0.414429:0.645933:0.414429:0.000000
8:@0.645566:0.451237:0.654559:0.451237:0.654559:0.435567:0.645566:0.435567:0.000000
7:@0.675198:0.430099:0.684191:0.430099:0.684191:0.414429:0.675198:0.414429:0.000000
8:@0.675407:0.451237:0.684400:0.451237:0.684400:0.435567:0.675407:0.435567:0.000000
14:@0.523956:0.429784:0.553071:0.429784:0.553071:0.415539:0.523956:0.415539:0.000000:0.000000
24:@0.523269:0.450920:0.554847:0.450920:0.554847:0.436674:0.523269:0.436674:0.000000:0.000000
Solución:@0.305303:0.461745:0.365964:0.461745:0.365964:0.446632:0.305303:0.446632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paulina pintó :@0.305303:0.488045:0.405511:0.488045:0.405511:0.472376:0.305303:0.472376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.409490:0.478301:0.418482:0.478301:0.418482:0.462631:0.409490:0.462631:0.000000
8:@0.409699:0.499440:0.418692:0.499440:0.418692:0.483770:0.409699:0.483770:0.000000
 de los carteles.:@0.423939:0.488045:0.535332:0.488045:0.535332:0.472376:0.423939:0.472376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición y sustracción de números racionales expresión decimal:@0.305303:0.636320:0.903573:0.636320:0.903573:0.614511:0.305303:0.614511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.305303:0.660842:0.374809:0.660842:0.374809:0.645730:0.305303:0.645730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Efectuamos la siguiente resta: 34,63 – 25,86 = 18,77:@0.305303:0.681318:0.679804:0.681318:0.679804:0.665648:0.305303:0.665648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la adición y sustracción de números decimales, es importante la posición :@0.305303:0.705037:0.907736:0.705037:0.907736:0.689367:0.305303:0.689367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correcta de las cifras de cada uno de los términos.:@0.305303:0.721633:0.669076:0.721633:0.669076:0.705963:0.305303:0.705963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.305303:0.745846:0.374809:0.745846:0.374809:0.730733:0.305303:0.730733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvemos la operación: :@0.305303:0.766070:0.495182:0.766070:0.495182:0.750400:0.305303:0.750400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.511877:0.766747:0.521994:0.766747:0.521994:0.751174:0.511877:0.751174:0.000000
−:@0.558831:0.766747:0.568947:0.766747:0.568947:0.751174:0.558831:0.751174:0.000000
+:@0.587682:0.766747:0.597798:0.766747:0.597798:0.751174:0.587682:0.751174:0.000000
−:@0.626951:0.766747:0.637068:0.766747:0.637068:0.751174:0.626951:0.751174:0.000000
3:@0.499366:0.756326:0.508359:0.756326:0.508359:0.740656:0.499366:0.740656:0.000000
5:@0.499366:0.777463:0.508359:0.777463:0.508359:0.761794:0.499366:0.761794:0.000000
2,35:@0.524756:0.766070:0.556876:0.766070:0.556876:0.750400:0.524756:0.750400:0.000000:0.000000:0.000000:0.000000
4:@0.574013:0.756319:0.583006:0.756319:0.583006:0.740650:0.574013:0.740650:0.000000
5:@0.574228:0.777463:0.583220:0.777463:0.583220:0.761794:0.574228:0.761794:0.000000
0,3:@0.600561:0.766070:0.624627:0.766070:0.624627:0.750400:0.600561:0.750400:0.000000:0.000000:0.000000
1:@0.646943:0.756319:0.655936:0.756319:0.655936:0.740650:0.646943:0.740650:0.000000
60:@0.641762:0.777463:0.659544:0.777463:0.659544:0.761794:0.641762:0.761794:0.000000:0.000000
:@0.616005:0.755860:0.623560:0.755860:0.623560:0.739112:0.616005:0.739112:0.000000
Cuando se tienen fracciones y decimales, hay que transformar todos los términos :@0.305297:0.797932:0.907602:0.797932:0.907602:0.782263:0.305297:0.782263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a decimales o todos a fracción, a fin de poder operarlos. Cuando hay un decimal :@0.305297:0.814529:0.907770:0.814529:0.907770:0.798859:0.305297:0.798859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
periódico, es más fácil transformar a fracción todos los sumandos.:@0.305297:0.831125:0.784428:0.831125:0.784428:0.815455:0.305297:0.815455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución         :@0.305303:0.865386:0.397927:0.865386:0.397927:0.850274:0.305303:0.850274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,35:@0.400427:0.865904:0.434904:0.865904:0.434904:0.848879:0.400427:0.848879:0.000000:0.000000:0.000000:0.000000
235:@0.454132:0.855886:0.480597:0.855886:0.480597:0.840280:0.454132:0.840280:0.000000:0.000000:0.000000
100:@0.453196:0.876934:0.479661:0.876934:0.479661:0.861327:0.453196:0.861327:0.000000:0.000000:0.000000
47:@0.502199:0.855886:0.519910:0.855886:0.519910:0.840280:0.502199:0.840280:0.000000:0.000000
20:@0.501832:0.876934:0.519543:0.876934:0.519543:0.861327:0.501832:0.861327:0.000000:0.000000
;0,3:@0.523672:0.865583:0.565701:0.865583:0.565701:0.849977:0.523672:0.849977:0.000000:0.000000:0.000000:0.000000
3:@0.584843:0.855872:0.593800:0.855872:0.593800:0.840266:0.584843:0.840266:0.000000
9:@0.584476:0.876920:0.593433:0.876920:0.593433:0.861313:0.584476:0.861313:0.000000
1:@0.615658:0.855872:0.624615:0.855872:0.624615:0.840266:0.615658:0.840266:0.000000
3:@0.615090:0.876920:0.624046:0.876920:0.624046:0.861313:0.615090:0.861313:0.000000
;:@0.627038:0.865570:0.630231:0.865570:0.630231:0.849963:0.627038:0.849963:0.000000
3:@0.648199:0.855859:0.657155:0.855859:0.657155:0.840252:0.648199:0.840252:0.000000
5 20:@0.648199:0.876906:0.693128:0.876906:0.693128:0.861300:0.648199:0.861300:0.000000:0.000000:0.000000:0.000000
47:@0.675784:0.855859:0.693495:0.855859:0.693495:0.840252:0.675784:0.840252:0.000000:0.000000
4:@0.712912:0.855859:0.721869:0.855859:0.721869:0.840252:0.712912:0.840252:0.000000
5:@0.713114:0.876906:0.722071:0.876906:0.722071:0.861300:0.713114:0.861300:0.000000
1:@0.741470:0.855859:0.750426:0.855859:0.750426:0.840252:0.741470:0.840252:0.000000
3:@0.740901:0.876906:0.749858:0.876906:0.749858:0.861300:0.740901:0.861300:0.000000
1:@0.774157:0.855859:0.783114:0.855859:0.783114:0.840252:0.774157:0.840252:0.000000
60:@0.769000:0.876906:0.786711:0.876906:0.786711:0.861300:0.769000:0.861300:0.000000:0.000000
:@0.557109:0.855424:0.564633:0.855424:0.564633:0.838743:0.557109:0.838743:0.000000
=:@0.437759:0.866641:0.448751:0.866641:0.448751:0.849720:0.437759:0.849720:0.000000
=:@0.485111:0.866641:0.496103:0.866641:0.496103:0.849720:0.485111:0.849720:0.000000
=:@0.598716:0.866641:0.609708:0.866641:0.609708:0.849720:0.598716:0.849720:0.000000
−:@0.753305:0.866641:0.764297:0.866641:0.764297:0.849720:0.753305:0.849720:0.000000
=:@0.569048:0.866266:0.579124:0.866266:0.579124:0.850756:0.569048:0.850756:0.000000
+:@0.660667:0.866266:0.670743:0.866266:0.670743:0.850756:0.660667:0.850756:0.000000
−:@0.697778:0.866266:0.707854:0.866266:0.707854:0.850756:0.697778:0.850756:0.000000
+:@0.726501:0.866266:0.736576:0.866266:0.736576:0.850756:0.726501:0.850756:0.000000
=:@0.792040:0.866266:0.802116:0.866266:0.802116:0.850756:0.792040:0.850756:0.000000
36 141 48:@0.476524:0.899131:0.572834:0.899131:0.572834:0.883461:0.476524:0.883461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60:@0.476682:0.920269:0.494465:0.920269:0.494465:0.904600:0.476682:0.904600:0.000000:0.000000
60:@0.515683:0.920269:0.533466:0.920269:0.533466:0.904600:0.515683:0.904600:0.000000:0.000000
60:@0.554842:0.920269:0.572625:0.920269:0.572625:0.904600:0.554842:0.904600:0.000000:0.000000
20:@0.591803:0.899131:0.609585:0.899131:0.609585:0.883461:0.591803:0.883461:0.000000:0.000000
60:@0.591959:0.920269:0.609741:0.920269:0.609741:0.904600:0.591959:0.904600:0.000000:0.000000
1:@0.634049:0.899131:0.643042:0.899131:0.643042:0.883461:0.634049:0.883461:0.000000
60:@0.628867:0.920269:0.646650:0.920269:0.646650:0.904600:0.628867:0.904600:0.000000:0.000000
148:@0.666351:0.899131:0.692924:0.899131:0.692924:0.883461:0.666351:0.883461:0.000000:0.000000:0.000000
60:@0.671480:0.920269:0.689263:0.920269:0.689263:0.904600:0.671480:0.904600:0.000000:0.000000
37:@0.713780:0.899131:0.731563:0.899131:0.731563:0.883461:0.713780:0.883461:0.000000:0.000000
15:@0.713571:0.920269:0.731354:0.920269:0.731354:0.904600:0.713571:0.904600:0.000000:0.000000
+:@0.498773:0.909553:0.508890:0.909553:0.508890:0.893980:0.498773:0.893980:0.000000
−:@0.539867:0.909553:0.549984:0.909553:0.549984:0.893980:0.539867:0.893980:0.000000
+:@0.577146:0.909553:0.587263:0.909553:0.587263:0.893980:0.577146:0.893980:0.000000
−:@0.614057:0.909553:0.624173:0.909553:0.624173:0.893980:0.614057:0.893980:0.000000
=:@0.652006:0.909553:0.662123:0.909553:0.662123:0.893980:0.652006:0.893980:0.000000
=:@0.698278:0.909553:0.708394:0.909553:0.708394:0.893980:0.698278:0.893980:0.000000
En las operaciones de :@0.106213:0.163787:0.254388:0.163787:0.254388:0.149542:0.106213:0.149542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adición o sustracción :@0.106213:0.178875:0.250669:0.178875:0.250669:0.164630:0.106213:0.164630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con números racionales, :@0.106213:0.193963:0.270990:0.193963:0.270990:0.179717:0.106213:0.179717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes operar con :@0.106213:0.209050:0.236111:0.209050:0.236111:0.194805:0.106213:0.194805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones homogéneas :@0.106213:0.224138:0.269918:0.224138:0.269918:0.209893:0.106213:0.209893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o heterogéneas:@0.106213:0.239225:0.210966:0.239225:0.210966:0.224980:0.106213:0.224980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.136265:0.138761:0.258346:0.138761:0.258346:0.121860:0.136265:0.121860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué distancia existe entre :@0.312004:0.172439:0.512143:0.172439:0.512143:0.156769:0.312004:0.156769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.515127:0.175175:0.525244:0.175175:0.525244:0.159602:0.515127:0.159602:0.000000
+:@0.556700:0.175175:0.566817:0.175175:0.566817:0.159602:0.556700:0.159602:0.000000
y:@0.545333:0.174497:0.552815:0.174497:0.552815:0.158136:0.545333:0.158136:0.000000
2 ?:@0.569566:0.174497:0.589523:0.172439:0.589523:0.156769:0.569566:0.158827:0.000000:0.000000:0.000000
2:@0.529104:0.164439:0.537279:0.164439:0.537279:0.150193:0.529104:0.150193:0.000000
5:@0.529254:0.185574:0.537429:0.185574:0.537429:0.171329:0.529254:0.171329:0.000000
Saberes previos:@0.345697:0.138636:0.471205:0.138636:0.471205:0.121736:0.345697:0.121736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m.c.m. = 8:@0.632072:0.339848:0.707939:0.339848:0.707939:0.324179:0.632072:0.324179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.144455:0.651125:0.156115:0.651125:0.156115:0.635547:0.144455:0.635547:0.000000
U,:@0.178194:0.651125:0.193590:0.651125:0.193590:0.635547:0.178194:0.635547:0.000000:0.000000
d:@0.216507:0.651125:0.226492:0.651125:0.226492:0.635547:0.216507:0.635547:0.000000
c:@0.253329:0.651125:0.260884:0.651125:0.260884:0.635547:0.253329:0.635547:0.000000
3:@0.146181:0.676598:0.154356:0.676598:0.154356:0.662352:0.146181:0.662352:0.000000
4,:@0.180339:0.676598:0.191429:0.676598:0.191429:0.662352:0.180339:0.662352:0.000000:0.000000
6:@0.217412:0.676598:0.225587:0.676598:0.225587:0.662352:0.217412:0.662352:0.000000
3:@0.253027:0.676598:0.261203:0.676598:0.261203:0.662352:0.253027:0.662352:0.000000
−:@0.109660:0.700285:0.119645:0.700285:0.119645:0.686040:0.109660:0.686040:0.000000
2:@0.146181:0.700285:0.154356:0.700285:0.154356:0.686040:0.146181:0.686040:0.000000
5,:@0.180339:0.700285:0.191429:0.700285:0.191429:0.686040:0.180339:0.686040:0.000000:0.000000
8:@0.217412:0.700285:0.225587:0.700285:0.225587:0.686040:0.217412:0.686040:0.000000
6:@0.253027:0.700285:0.261203:0.700285:0.261203:0.686040:0.253027:0.686040:0.000000
1:@0.146181:0.723973:0.154356:0.723973:0.154356:0.709728:0.146181:0.709728:0.000000
8,:@0.180339:0.723973:0.191429:0.723973:0.191429:0.709728:0.180339:0.709728:0.000000:0.000000
7:@0.217412:0.723973:0.225587:0.723973:0.225587:0.709728:0.217412:0.709728:0.000000
7:@0.253027:0.723973:0.261203:0.723973:0.261203:0.709728:0.253027:0.709728:0.000000
2    8    2:@0.503060:0.323671:0.562324:0.323671:0.562324:0.308001:0.503060:0.308001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1    4    2:@0.503060:0.338345:0.562324:0.338345:0.562324:0.322675:0.503060:0.322675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      2    2:@0.503060:0.353019:0.561402:0.353019:0.561402:0.337349:0.503060:0.337349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      1          :@0.503060:0.367693:0.563519:0.367693:0.563519:0.352023:0.503060:0.352023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.623609:0.157020:0.623609:0.157020:0.608496:0.096359:0.608496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para adicionar dos números racionales en forma de fracción con denominadores :@0.319826:0.525690:0.891801:0.525690:0.891801:0.510020:0.319826:0.510020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales, se adicionan sus numeradores y el denominador se mantiene.:@0.316472:0.542286:0.828996:0.542286:0.828996:0.526617:0.316472:0.526617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para adicionar dos números racionales en forma fraccionaria, es necesario :@0.316472:0.566005:0.895135:0.566005:0.895135:0.550336:0.316472:0.550336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reducir las fracciones al denominador común; luego, se adicionan como :@0.316472:0.582602:0.895116:0.582602:0.895116:0.566932:0.316472:0.566932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones homogéneas. :@0.318149:0.599198:0.501226:0.599198:0.501226:0.583528:0.318149:0.583528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 311738099.:@0.091799:0.465687:0.091799:0.396435:0.080330:0.396435:0.080330:0.465687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 286541591.:@0.093478:0.562949:0.093478:0.493697:0.082009:0.493697:0.082009:0.562949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La base para tener  :@0.106529:0.805181:0.235856:0.805181:0.235856:0.790935:0.106529:0.790935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
buenas relaciones :@0.106529:0.820268:0.230244:0.820268:0.230244:0.806023:0.106529:0.806023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpersonales está :@0.106529:0.835356:0.243748:0.835356:0.243748:0.821111:0.106529:0.821111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en reconocer las :@0.106529:0.850443:0.219742:0.850443:0.219742:0.836198:0.106529:0.836198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emociones de los :@0.106529:0.865531:0.227482:0.865531:0.227482:0.851286:0.106529:0.851286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demás, así como :@0.106529:0.880619:0.221451:0.880619:0.221451:0.866373:0.106529:0.866373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer y manejar tus :@0.106529:0.895706:0.258273:0.895706:0.258273:0.881461:0.106529:0.881461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emociones. :@0.106529:0.910794:0.186922:0.910794:0.186922:0.896549:0.106529:0.896549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.768196:0.247891:0.768196:0.247891:0.751295:0.136865:0.751295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.136865:0.782026:0.259482:0.782026:0.259482:0.765125:0.136865:0.765125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.16.:@0.099710:0.940989:0.145620:0.940989:0.145620:0.930234:0.099710:0.930234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Operar en :@0.145620:0.940989:0.197569:0.940989:0.197569:0.931017:0.145620:0.931017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.200289:0.942330:0.212019:0.942330:0.212019:0.928627:0.200289:0.928627:0.000000
 (adición y multiplicación) resolviendo ejercicios numéricos. :@0.215995:0.940989:0.495461:0.940989:0.495461:0.931017:0.215995:0.931017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.17. :@0.099713:0.951048:0.148050:0.951048:0.148050:0.940293:0.099713:0.940293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades algebraicas para la suma y la multiplicación de números racionales en la solución de ejercicios numéricos.:@0.148050:0.951048:0.750291:0.951048:0.750291:0.941077:0.148050:0.941077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La distancia es de :@0.599175:0.173206:0.683596:0.173206:0.683596:0.163235:0.599175:0.163235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.686208:0.174461:0.695200:0.174461:0.695200:0.158791:0.686208:0.158791:0.000000
2:@0.698301:0.164402:0.706476:0.164402:0.706476:0.150157:0.698301:0.150157:0.000000
5:@0.698452:0.185537:0.706627:0.185537:0.706627:0.171292:0.698452:0.171292:0.000000
 unidades.:@0.712070:0.173203:0.759656:0.173203:0.759656:0.163232:0.712070:0.163232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000