41:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico:@0.721207:0.043660:0.926911:0.043660:0.926911:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los estudiantes están pintando carteles para una presentación de teatro. Paulina ha :@0.073089:0.229754:0.709914:0.229754:0.709914:0.213321:0.073089:0.213321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pintado la mitad del paisaje y está ayudando a Carlos a pintar tres partes de lo que le :@0.073089:0.246396:0.710394:0.246396:0.710394:0.229962:0.073089:0.229962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.706335:0.246396:0.710366:0.246396:0.710366:0.229962:0.706335:0.229962:0.000000 ha tocado. ¿Cuánto pintó en total Paulina?:@0.073089:0.263038:0.378951:0.263038:0.378951:0.246604:0.073089:0.246604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para saber cuánto pintó Paulina, se suman las partes que pintó: :@0.073089:0.293936:0.531915:0.293936:0.531915:0.277503:0.073089:0.277503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.536626:0.288721:0.545609:0.288721:0.545609:0.272287:0.536626:0.272287:0.000000 2:@0.536626:0.302700:0.545609:0.302700:0.545609:0.286266:0.536626:0.286266:0.000000 :@0.550711:0.293936:0.572204:0.293936:0.572204:0.277503:0.550711:0.277503:0.000000:0.000000:0.000000 1:@0.552931:0.293382:0.568265:0.293382:0.568265:0.279666:0.552931:0.279666:0.000000 3:@0.575576:0.288721:0.584558:0.288721:0.584558:0.272287:0.575576:0.272287:0.000000 8:@0.575576:0.302700:0.584558:0.302700:0.584558:0.286266:0.575576:0.286266:0.000000 Se calcula el m.c.m. de los denominadores.:@0.235299:0.321311:0.544383:0.321311:0.544383:0.304877:0.235299:0.304877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m.c.m. 8:@0.415021:0.367762:0.490072:0.367762:0.490072:0.351328:0.415021:0.351328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.463842:0.367207:0.479175:0.367207:0.479175:0.353491:0.463842:0.353491:0.000000 2 8 2:@0.285382:0.345196:0.328013:0.345196:0.328013:0.328762:0.285382:0.328762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 4 2:@0.285382:0.361838:0.328013:0.361838:0.328013:0.345404:0.285382:0.345404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 2:@0.285382:0.378479:0.327019:0.378479:0.327019:0.362046:0.285382:0.362046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 :@0.285382:0.395121:0.330351:0.395121:0.330351:0.378687:0.285382:0.378687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Se encuentran las fracciones equivalentes con el m.c.m. del denominador (en este caso, :@0.073089:0.418912:0.710893:0.418912:0.710893:0.402478:0.073089:0.402478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 solo de la primera fracción porque la segunda fracción tiene como denominador el 8).:@0.073089:0.435553:0.696289:0.435553:0.696289:0.419120:0.073089:0.419120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 4:@0.289306:0.457662:0.330336:0.457662:0.330336:0.441228:0.289306:0.441228:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.302154:0.457107:0.317487:0.457107:0.317487:0.443391:0.302154:0.443391:0.000000 2 4:@0.289306:0.471641:0.330336:0.471641:0.330336:0.455207:0.289306:0.455207:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.302154:0.471086:0.317487:0.471086:0.317487:0.457371:0.302154:0.457371:0.000000 ; :@0.337963:0.462879:0.480295:0.462879:0.480295:0.446445:0.337963:0.446445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.340184:0.462324:0.355517:0.462324:0.355517:0.448608:0.340184:0.448608:0.000000 4:@0.362828:0.457662:0.371811:0.457662:0.371811:0.441228:0.362828:0.441228:0.000000 8:@0.362828:0.471641:0.371811:0.471641:0.371811:0.455207:0.362828:0.455207:0.000000 4:@0.405765:0.457662:0.414748:0.457662:0.414748:0.441228:0.405765:0.441228:0.000000 8:@0.405765:0.471641:0.414748:0.471641:0.414748:0.455207:0.405765:0.455207:0.000000 1:@0.422072:0.462324:0.437406:0.462324:0.437406:0.448608:0.422072:0.448608:0.000000 3:@0.444717:0.457662:0.453699:0.457662:0.453699:0.441228:0.444717:0.441228:0.000000 8:@0.444717:0.471641:0.453699:0.471641:0.453699:0.455207:0.444717:0.455207:0.000000 5:@0.461022:0.462324:0.476355:0.462324:0.476355:0.448608:0.461022:0.448608:0.000000 7:@0.483666:0.457662:0.492649:0.457662:0.492649:0.441228:0.483666:0.441228:0.000000 8:@0.483666:0.471641:0.492649:0.471641:0.492649:0.455207:0.483666:0.455207:0.000000 Solución:@0.073093:0.486674:0.139226:0.486674:0.139226:0.470004:0.073093:0.470004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paulina pintó :@0.073093:0.513994:0.172219:0.513994:0.172219:0.497561:0.073093:0.497561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.177243:0.508776:0.186225:0.508776:0.186225:0.492342:0.177243:0.492342:0.000000 8:@0.177243:0.522755:0.186225:0.522755:0.186225:0.506322:0.177243:0.506322:0.000000 de los carteles.:@0.191324:0.513991:0.301396:0.513991:0.301396:0.497557:0.191324:0.497557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para sumar dos números racionales en forma de fracciones homogéneas, se suman :@0.084829:0.547151:0.701582:0.547151:0.701582:0.530717:0.084829:0.530717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los numeradores y se mantiene el denominador.:@0.084829:0.563793:0.435215:0.563793:0.435215:0.547359:0.084829:0.547359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para sumar fracciones heterogéneas, se hará uso del método de fracciones :@0.084829:0.591155:0.702079:0.591155:0.702079:0.574721:0.084829:0.574721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 equivalentes (mínimo común múltiplo) para operarlas como fracciones homogéneas.:@0.084829:0.607796:0.697967:0.607796:0.697967:0.591363:0.084829:0.591363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4.1 Adición y sustracción de números racionales en expresión decimal:@0.073085:0.644422:0.619396:0.644422:0.619396:0.627475:0.073085:0.627475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.073085:0.671784:0.148868:0.671784:0.148868:0.655115:0.073085:0.655115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Efectuamos la siguiente resta: 34, 63 25, 86 8, 77:@0.073085:0.699146:0.456527:0.699146:0.456527:0.682712:0.073085:0.682712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.337616:0.698591:0.352949:0.698591:0.352949:0.684876:0.337616:0.684876:0.000000 5:@0.403440:0.698591:0.418773:0.698591:0.418773:0.684876:0.403440:0.684876:0.000000 En la adición y sustracción de números decimales, es importante la posición correcta de :@0.073085:0.726508:0.710736:0.726508:0.710736:0.710074:0.073085:0.710074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las cifras de cada uno de los términos.:@0.073085:0.743150:0.346468:0.743150:0.346468:0.726716:0.073085:0.726716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 2:@0.073085:0.766934:0.148868:0.766934:0.148868:0.750264:0.073085:0.750264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resolvemos la operación: :@0.073085:0.797832:0.260972:0.797832:0.260972:0.781398:0.073085:0.781398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.265925:0.792627:0.274908:0.792627:0.274908:0.776193:0.265925:0.776193:0.000000 5:@0.265925:0.806606:0.274908:0.806606:0.274908:0.790172:0.265925:0.790172:0.000000 2,35 0,3 :@0.280010:0.797842:0.413111:0.797842:0.413111:0.781408:0.280010:0.781408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.282231:0.797288:0.297564:0.797288:0.297564:0.783572:0.282231:0.783572:0.000000 2:@0.331741:0.797288:0.347075:0.797288:0.347075:0.783572:0.331741:0.783572:0.000000 4:@0.354386:0.792627:0.363368:0.792627:0.363368:0.776193:0.354386:0.776193:0.000000 5:@0.354386:0.806606:0.363368:0.806606:0.363368:0.790172:0.354386:0.790172:0.000000 1:@0.370691:0.797288:0.386024:0.797288:0.386024:0.783572:0.370691:0.783572:0.000000 2 :@0.411301:0.797288:0.431142:0.797288:0.431142:0.783572:0.411301:0.783572:0.000000:0.000000 1:@0.437936:0.792627:0.446919:0.792627:0.446919:0.776193:0.437936:0.776193:0.000000 60:@0.433482:0.806606:0.451373:0.806606:0.451373:0.790172:0.433482:0.790172:0.000000:0.000000 Cuando se tienen fracciones y decimales, hay que transformar todos los términos a :@0.073086:0.825203:0.710503:0.825203:0.710503:0.808769:0.073086:0.808769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 decimales o a fracciones, a fin de poder operarlos. Cuando hay un decimal periódico, es :@0.073086:0.841845:0.710861:0.841845:0.710861:0.825411:0.073086:0.825411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 más fácil transformar a fracción todos los sumandos.:@0.073086:0.858487:0.451022:0.858487:0.451022:0.842053:0.073086:0.842053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.073086:0.889385:0.139220:0.889385:0.139220:0.872715:0.073086:0.872715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2,35 :@0.139118:0.889389:0.194390:0.889389:0.194390:0.872955:0.139118:0.872955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.175117:0.888834:0.190451:0.888834:0.190451:0.875118:0.175117:0.875118:0.000000 235:@0.197059:0.884172:0.223860:0.884172:0.223860:0.867738:0.197059:0.867738:0.000000:0.000000:0.000000 100:@0.197059:0.898151:0.223860:0.898151:0.223860:0.881717:0.197059:0.881717:0.000000:0.000000:0.000000 :@0.228247:0.889389:0.249739:0.889389:0.249739:0.872955:0.228247:0.872955:0.000000:0.000000:0.000000 5:@0.230466:0.888834:0.245800:0.888834:0.245800:0.875118:0.230466:0.875118:0.000000 47:@0.252662:0.884172:0.270554:0.884172:0.270554:0.867738:0.252662:0.867738:0.000000:0.000000 20:@0.252662:0.898151:0.270554:0.898151:0.270554:0.881717:0.252662:0.881717:0.000000:0.000000 ; 0,3 :@0.275201:0.889389:0.305501:0.889389:0.305501:0.872955:0.275201:0.872955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.303690:0.888834:0.323533:0.888834:0.323533:0.875118:0.303690:0.875118:0.000000:0.000000 3:@0.326472:0.884172:0.335455:0.884172:0.335455:0.867738:0.326472:0.867738:0.000000 9:@0.326472:0.898151:0.335455:0.898151:0.335455:0.881717:0.326472:0.881717:0.000000 :@0.340706:0.889389:0.344737:0.889389:0.344737:0.872955:0.340706:0.872955:0.000000 5 :@0.342926:0.888834:0.362769:0.888834:0.362769:0.875118:0.342926:0.875118:0.000000:0.000000 1:@0.365708:0.884172:0.374691:0.884172:0.374691:0.867738:0.365708:0.867738:0.000000 3:@0.365708:0.898151:0.374691:0.898151:0.374691:0.881717:0.365708:0.881717:0.000000 ; :@0.379943:0.889389:0.389331:0.889389:0.389331:0.872955:0.379943:0.872955:0.000000:0.000000:0.000000 3:@0.408943:0.884172:0.417926:0.884172:0.417926:0.867738:0.408943:0.867738:0.000000 5:@0.408943:0.898151:0.417926:0.898151:0.417926:0.881717:0.408943:0.881717:0.000000 :@0.423177:0.889389:0.444670:0.889389:0.444670:0.872955:0.423177:0.872955:0.000000:0.000000:0.000000 1:@0.425397:0.888834:0.440731:0.888834:0.440731:0.875118:0.425397:0.875118:0.000000 47:@0.447593:0.884172:0.465485:0.884172:0.465485:0.867738:0.447593:0.867738:0.000000:0.000000 20:@0.447593:0.898151:0.465485:0.898151:0.465485:0.881717:0.447593:0.881717:0.000000:0.000000 :@0.470132:0.889389:0.513411:0.889389:0.513411:0.872955:0.470132:0.872955:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.472353:0.888834:0.487686:0.888834:0.487686:0.875118:0.472353:0.875118:0.000000 4:@0.495146:0.884172:0.504129:0.884172:0.504129:0.867738:0.495146:0.867738:0.000000 5:@0.495146:0.898151:0.504129:0.898151:0.504129:0.881717:0.495146:0.881717:0.000000 1 :@0.511600:0.888834:0.531442:0.888834:0.531442:0.875118:0.511600:0.875118:0.000000:0.000000 1:@0.534382:0.884172:0.543365:0.884172:0.543365:0.867738:0.534382:0.867738:0.000000 3:@0.534382:0.898151:0.543365:0.898151:0.543365:0.881717:0.534382:0.881717:0.000000 :@0.548616:0.889389:0.570109:0.889389:0.570109:0.872955:0.548616:0.872955:0.000000:0.000000:0.000000 2:@0.550836:0.888834:0.566169:0.888834:0.566169:0.875118:0.550836:0.875118:0.000000 1:@0.576931:0.884172:0.585914:0.884172:0.585914:0.867738:0.576931:0.867738:0.000000 60:@0.572476:0.898151:0.590368:0.898151:0.590368:0.881717:0.572476:0.881717:0.000000:0.000000 :@0.594466:0.889389:0.598498:0.889389:0.598498:0.872955:0.594466:0.872955:0.000000 5:@0.596687:0.888834:0.612020:0.888834:0.612020:0.875118:0.596687:0.875118:0.000000 36:@0.231512:0.922219:0.249404:0.922219:0.249404:0.905785:0.231512:0.905785:0.000000:0.000000 60:@0.231512:0.936198:0.249404:0.936198:0.249404:0.919764:0.231512:0.919764:0.000000:0.000000 :@0.254051:0.927435:0.275544:0.927435:0.275544:0.911001:0.254051:0.911001:0.000000:0.000000:0.000000 1:@0.256272:0.926880:0.271605:0.926880:0.271605:0.913165:0.256272:0.913165:0.000000 141:@0.278215:0.922219:0.305016:0.922219:0.305016:0.905785:0.278215:0.905785:0.000000:0.000000:0.000000 60:@0.282669:0.936198:0.300561:0.936198:0.300561:0.919764:0.282669:0.919764:0.000000:0.000000 :@0.309402:0.927435:0.330895:0.927435:0.330895:0.911001:0.309402:0.911001:0.000000:0.000000:0.000000 2:@0.311622:0.926880:0.326955:0.926880:0.326955:0.913165:0.311622:0.913165:0.000000 48:@0.333818:0.922219:0.351710:0.922219:0.351710:0.905785:0.333818:0.905785:0.000000:0.000000 60:@0.333818:0.936198:0.351710:0.936198:0.351710:0.919764:0.333818:0.919764:0.000000:0.000000 :@0.356357:0.927435:0.377848:0.927435:0.377848:0.911001:0.356357:0.911001:0.000000:0.000000:0.000000 1:@0.358576:0.926880:0.373909:0.926880:0.373909:0.913165:0.358576:0.913165:0.000000 20:@0.380772:0.922219:0.398663:0.922219:0.398663:0.905785:0.380772:0.905785:0.000000:0.000000 60:@0.380772:0.936198:0.398663:0.936198:0.398663:0.919764:0.380772:0.919764:0.000000:0.000000 :@0.403310:0.927435:0.424803:0.927435:0.424803:0.911001:0.403310:0.911001:0.000000:0.000000:0.000000 2:@0.405531:0.926880:0.420864:0.926880:0.420864:0.913165:0.405531:0.913165:0.000000 1:@0.432178:0.922219:0.441161:0.922219:0.441161:0.905785:0.432178:0.905785:0.000000 60:@0.427723:0.936198:0.445615:0.936198:0.445615:0.919764:0.427723:0.919764:0.000000:0.000000 :@0.450266:0.927435:0.471759:0.927435:0.471759:0.911001:0.450266:0.911001:0.000000:0.000000:0.000000 5:@0.452486:0.926880:0.467820:0.926880:0.467820:0.913165:0.452486:0.913165:0.000000 148:@0.474428:0.922219:0.501229:0.922219:0.501229:0.905785:0.474428:0.905785:0.000000:0.000000:0.000000 60:@0.478882:0.936198:0.496774:0.936198:0.496774:0.919764:0.478882:0.919764:0.000000:0.000000 :@0.505616:0.927435:0.527109:0.927435:0.527109:0.911001:0.505616:0.911001:0.000000:0.000000:0.000000 5:@0.507837:0.926880:0.523170:0.926880:0.523170:0.913165:0.507837:0.913165:0.000000 37:@0.530031:0.922219:0.547923:0.922219:0.547923:0.905785:0.530031:0.905785:0.000000:0.000000 15:@0.530031:0.936198:0.547923:0.936198:0.547923:0.919764:0.530031:0.919764:0.000000:0.000000 Tema 4. Adición y sustracción de números racionales:@0.073089:0.098522:0.849266:0.098522:0.849266:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Qué distancia existe entre :@0.293660:0.174877:0.491580:0.174877:0.491580:0.158443:0.293660:0.158443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.491317:0.174322:0.506650:0.174322:0.506650:0.160606:0.491317:0.160606:0.000000 2:@0.511748:0.169660:0.520730:0.169660:0.520730:0.153226:0.511748:0.153226:0.000000 5:@0.511748:0.183639:0.520730:0.183639:0.520730:0.167205:0.511748:0.167205:0.000000 y 2?:@0.525829:0.174874:0.576872:0.174874:0.576872:0.158440:0.525829:0.158440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.541751:0.174319:0.557085:0.174319:0.557085:0.160604:0.541751:0.160604:0.000000 Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En las operaciones de :@0.746323:0.535837:0.892995:0.535837:0.892995:0.520897:0.746323:0.520897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 adición o sustracción :@0.746323:0.550966:0.889279:0.550966:0.889279:0.536026:0.746323:0.536026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con números racionales, :@0.746323:0.566095:0.910335:0.566095:0.910335:0.551155:0.746323:0.551155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 puedes operar con :@0.746323:0.581224:0.875006:0.581224:0.875006:0.566284:0.746323:0.566284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fracciones homogéneas :@0.746323:0.596353:0.908508:0.596353:0.908508:0.581413:0.746323:0.581413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 o heterogéneas.:@0.746323:0.611482:0.852734:0.611482:0.852734:0.596542:0.746323:0.596542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.740299:0.493867:0.838990:0.493867:0.838990:0.478460:0.740299:0.478460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.740299:0.508996:0.828913:0.508996:0.828913:0.493589:0.740299:0.493589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.115486:0.125957:0.115486:0.125957:0.115486:0.108602:0.115486:0.108602:0.000000 B:@0.194156:0.125957:0.194156:0.125957:0.194156:0.108602:0.194156:0.108602:0.000000 DBA 2 (Ev. 4) Calcula e interpreta el máximo común divisor y el mínimo común múltiplo entre números enteros.:@0.079154:0.965315:0.666095:0.965315:0.666095:0.953363:0.079154:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 2 (Ev. 5) Describe procedimientos para calcular el resultado de una operación (suma, resta, multiplicación y división) entre números enteros y racionales).:@0.079154:0.977418:0.906220:0.977418:0.906220:0.965466:0.079154:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000