64:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición y sustracción :@0.286308:0.063945:0.661950:0.063945:0.661950:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con números racionales:@0.286308:0.094120:0.698175:0.094120:0.698175:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Al igual que la suma de números enteros, la suma de números racionales es de enor-:@0.288553:0.153615:0.903684:0.153615:0.903684:0.137226:0.288553:0.137226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
me utilidad en actividades cotidianas. En nuestras finanzas personales, en los gastos :@0.288553:0.170211:0.907717:0.170211:0.907717:0.153822:0.288553:0.153822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diarios debemos sumar o restar cantidades que no son exactas; al igual que en el :@0.288553:0.186807:0.907647:0.186807:0.907647:0.170418:0.288553:0.170418:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculo de medidas y distancias, en recetas de cocina, entre otras.:@0.288553:0.203404:0.765784:0.203404:0.765784:0.187015:0.288553:0.187015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los estudiantes están pintando carteles para una presentación de teatro. Paulina ha :@0.288553:0.227123:0.907703:0.227123:0.907703:0.210734:0.288553:0.210734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pintado la mitad del paisaje y está ayudando a Carlos a pintar tres partes de las ocho :@0.288553:0.243719:0.907574:0.243719:0.907574:0.227330:0.288553:0.227330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que le tocaron. ¿Cuánto pintó en total Paulina?:@0.288553:0.260315:0.630584:0.260315:0.630584:0.243926:0.288553:0.243926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.288553:0.287603:0.352331:0.287603:0.352331:0.270965:0.288553:0.270965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para saber cuánto pintó Paulina, se suman las partes que pintó.  :@0.288553:0.303950:0.756275:0.303950:0.756275:0.287561:0.288553:0.287561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.791952:0.294921:0.800945:0.294921:0.800945:0.278532:0.791952:0.278532:0.000000
8:@0.791585:0.316059:0.800578:0.316059:0.800578:0.299670:0.791585:0.299670:0.000000
1:@0.761012:0.294607:0.769187:0.294607:0.769187:0.279708:0.761012:0.279708:0.000000
2:@0.760332:0.315745:0.768507:0.315745:0.768507:0.300846:0.760332:0.300846:0.000000
+:@0.774833:0.305343:0.784949:0.305343:0.784949:0.289770:0.774833:0.289770:0.000000
Se calcula el mcm de los denominadores.:@0.444573:0.326586:0.747628:0.326586:0.747628:0.310198:0.444573:0.310198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mcm (2, 8) = 8:@0.582646:0.360215:0.688126:0.360215:0.688126:0.343827:0.582646:0.343827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2    8    2:@0.487744:0.344034:0.547007:0.344034:0.547007:0.327645:0.487744:0.327645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1    4    2:@0.487744:0.358708:0.547007:0.358708:0.547007:0.342319:0.487744:0.342319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      2    2:@0.487744:0.373382:0.546085:0.373382:0.546085:0.356993:0.487744:0.356993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      1          :@0.487744:0.388056:0.548203:0.388056:0.548203:0.371667:0.487744:0.371667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se encuentran las fracciones equivalentes con el mcm del denominador (en este :@0.288553:0.407117:0.907684:0.407117:0.907684:0.390728:0.288553:0.390728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
caso, solo de la primera fracción porque la segunda fracción tiene como denomina-:@0.288553:0.423713:0.903628:0.423713:0.903628:0.407324:0.288553:0.407324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dor el 8).:@0.288553:0.440309:0.351815:0.440309:0.351815:0.423920:0.288553:0.423920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.553582:0.456903:0.493176:0.456903:0.493176:0.441330:0.553582:0.441330:0.000000
+:@0.624105:0.456903:0.563699:0.456903:0.563699:0.441330:0.624105:0.441330:0.000000
=:@0.652889:0.456903:0.663005:0.456903:0.663005:0.441330:0.652889:0.441330:0.000000
×:@0.526830:0.446783:0.536027:0.446783:0.536027:0.432626:0.526830:0.432626:0.000000
×:@0.526931:0.467918:0.536128:0.467918:0.536128:0.453761:0.526931:0.453761:0.000000
;:@0.582899:0.456540:0.586397:0.456540:0.586397:0.438661:0.582899:0.438661:0.000000
4:@0.569810:0.446481:0.578803:0.446481:0.578803:0.430092:0.569810:0.430092:0.000000
8:@0.569644:0.467614:0.578637:0.467614:0.578637:0.451225:0.569644:0.451225:0.000000
4:@0.610425:0.446481:0.619417:0.446481:0.619417:0.430092:0.610425:0.430092:0.000000
8:@0.610259:0.467614:0.619252:0.467614:0.619252:0.451225:0.610259:0.451225:0.000000
3:@0.638895:0.446481:0.647888:0.446481:0.647888:0.430092:0.638895:0.430092:0.000000
8:@0.638527:0.467614:0.647520:0.467614:0.647520:0.451225:0.638527:0.451225:0.000000
7:@0.668158:0.446481:0.677151:0.446481:0.677151:0.430092:0.668158:0.430092:0.000000
8:@0.668361:0.467614:0.677354:0.467614:0.677354:0.451225:0.668361:0.451225:0.000000
14:@0.517176:0.446139:0.546291:0.446139:0.546291:0.431240:0.517176:0.431240:0.000000:0.000000
24:@0.516254:0.467300:0.547833:0.467300:0.547833:0.452401:0.516254:0.452401:0.000000:0.000000
Paulina pintó :@0.288553:0.494382:0.388760:0.494382:0.388760:0.477993:0.288553:0.477993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.392739:0.484638:0.401732:0.484638:0.401732:0.468249:0.392739:0.468249:0.000000
8:@0.392948:0.505777:0.401941:0.505777:0.401941:0.489388:0.392948:0.489388:0.000000
 de los carteles.:@0.407188:0.494382:0.518581:0.494382:0.518581:0.477993:0.407188:0.477993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición y sustracción de números decimales:@0.288553:0.656913:0.700602:0.656913:0.700602:0.635403:0.288553:0.635403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.288553:0.679694:0.358909:0.679694:0.358909:0.663057:0.288553:0.663057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.288553:0.703413:0.302779:0.703413:0.302779:0.686513:0.288553:0.686513:0.000000:0.000000
  Efectuamos la siguiente resta: 34,63 – 25,86 = 8,77:@0.302779:0.703413:0.677805:0.703413:0.677805:0.687024:0.302779:0.687024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.288553:0.720010:0.292588:0.720010:0.292588:0.703621:0.288553:0.703621:0.000000
En la adición y sustracción de números decimales, es importante la posición:@0.312297:0.720010:0.903599:0.720010:0.903599:0.703621:0.312297:0.703621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
correcta de las cifras de cada uno de los términos.:@0.312287:0.736606:0.676060:0.736606:0.676060:0.720217:0.312287:0.720217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.288553:0.770394:0.302779:0.770394:0.302779:0.753493:0.288553:0.753493:0.000000:0.000000
  Resolvemos la operación: :@0.302779:0.770394:0.502173:0.770394:0.502173:0.754005:0.302779:0.754005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.523213:0.772351:0.486377:0.772351:0.486377:0.756778:0.523213:0.756778:0.000000
−:@0.570167:0.772351:0.533330:0.772351:0.533330:0.756778:0.570167:0.756778:0.000000
+:@0.599025:0.772351:0.569872:0.772351:0.569872:0.756778:0.599025:0.756778:0.000000
−:@0.638294:0.772351:0.609141:0.772351:0.609141:0.756778:0.638294:0.756778:0.000000
3:@0.510701:0.761923:0.519694:0.761923:0.519694:0.745534:0.510701:0.745534:0.000000
5:@0.510699:0.783056:0.519692:0.783056:0.519692:0.766667:0.510699:0.766667:0.000000
2,35:@0.536094:0.771660:0.568214:0.771660:0.568214:0.755271:0.536094:0.755271:0.000000:0.000000:0.000000:0.000000
4:@0.585351:0.761909:0.594344:0.761909:0.594344:0.745520:0.585351:0.745520:0.000000
5:@0.585554:0.783042:0.594547:0.783042:0.594547:0.766653:0.585554:0.766653:0.000000
0,3:@0.611885:0.771646:0.635952:0.771646:0.635952:0.755257:0.611885:0.755257:0.000000:0.000000:0.000000
1:@0.658268:0.761895:0.667261:0.761895:0.667261:0.745507:0.658268:0.745507:0.000000
60:@0.653090:0.783028:0.670872:0.783028:0.670872:0.766639:0.653090:0.766639:0.000000:0.000000
Cuando se tienen fracciones y decimales, hay que transformar todos los suman-:@0.312296:0.798273:0.903709:0.798273:0.903709:0.781884:0.312296:0.781884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos a decimales o todos a fracción, a fin de poder operarlos. Cuando exista un :@0.312296:0.814869:0.907764:0.814869:0.907764:0.798480:0.312296:0.798480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal periódico, es más fácil transformar a fracción todos los sumandos.:@0.312296:0.831466:0.853860:0.831466:0.853860:0.815077:0.312296:0.815077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución   :@0.288561:0.869610:0.362400:0.869610:0.362400:0.852972:0.288561:0.852972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,35:@0.369105:0.870476:0.403722:0.870476:0.403722:0.852597:0.369105:0.852597:0.000000:0.000000:0.000000:0.000000
235:@0.423026:0.860418:0.449598:0.860418:0.449598:0.844029:0.423026:0.844029:0.000000:0.000000:0.000000
100:@0.422086:0.881550:0.448659:0.881550:0.448659:0.865161:0.422086:0.865161:0.000000:0.000000:0.000000
47:@0.471288:0.860418:0.489070:0.860418:0.489070:0.844029:0.471288:0.844029:0.000000:0.000000
20:@0.470919:0.881550:0.488702:0.881550:0.488702:0.865161:0.470919:0.865161:0.000000:0.000000
;0,3:@0.492848:0.868896:0.535047:0.870154:0.535047:0.853765:0.492848:0.852507:0.000000:0.000000:0.000000:0.000000
3:@0.554267:0.860404:0.563260:0.860404:0.563260:0.844015:0.554267:0.844015:0.000000
9:@0.553899:0.881536:0.562891:0.881536:0.562891:0.865148:0.553899:0.865148:0.000000
1:@0.585207:0.860404:0.594200:0.860404:0.594200:0.844015:0.585207:0.844015:0.000000
3:@0.584636:0.881536:0.593629:0.881536:0.593629:0.865148:0.584636:0.865148:0.000000
;:@0.596632:0.870140:0.599839:0.870140:0.599839:0.853751:0.596632:0.853751:0.000000
3:@0.617879:0.860390:0.626872:0.860390:0.626872:0.844001:0.617879:0.844001:0.000000
5 20:@0.617879:0.881523:0.662990:0.881523:0.662990:0.865134:0.617879:0.865134:0.000000:0.000000:0.000000:0.000000
47:@0.645576:0.860390:0.663359:0.860390:0.663359:0.844001:0.645576:0.844001:0.000000:0.000000
4:@0.682855:0.860390:0.691848:0.860390:0.691848:0.844001:0.682855:0.844001:0.000000
5:@0.683058:0.881523:0.692051:0.881523:0.692051:0.865134:0.683058:0.865134:0.000000
1:@0.711529:0.860390:0.720521:0.860390:0.720521:0.844001:0.711529:0.844001:0.000000
3:@0.710957:0.881523:0.719950:0.881523:0.719950:0.865134:0.710957:0.865134:0.000000
1:@0.744367:0.860390:0.753359:0.860390:0.753359:0.844001:0.744367:0.844001:0.000000
60:@0.739189:0.881523:0.756971:0.881523:0.756971:0.865134:0.739189:0.865134:0.000000:0.000000
:@0.773851:0.870126:0.777887:0.870126:0.777887:0.853738:0.773851:0.853738:0.000000
− +:@0.666805:0.869546:0.641117:0.869546:0.641117:0.853973:0.666805:0.853973:0.000000:0.000000:0.000000
+:@0.695644:0.869546:0.676922:0.869546:0.676922:0.853973:0.695644:0.853973:0.000000
−:@0.724981:0.869615:0.735098:0.869615:0.735098:0.854042:0.724981:0.854042:0.000000
=:@0.760657:0.869546:0.770774:0.869546:0.770774:0.853973:0.760657:0.853973:0.000000
=:@0.569083:0.869546:0.579200:0.869546:0.579200:0.853973:0.569083:0.853973:0.000000
=:@0.538612:0.869582:0.548729:0.869582:0.548729:0.854009:0.538612:0.854009:0.000000
=:@0.455467:0.869582:0.465583:0.869582:0.465583:0.854009:0.455467:0.854009:0.000000
=:@0.407444:0.869582:0.417561:0.869582:0.417561:0.854009:0.407444:0.854009:0.000000
2,35:@0.047093:0.914314:0.081710:0.914314:0.081710:0.896436:0.047093:0.896436:0.000000:0.000000:0.000000:0.000000
235:@0.101014:0.904256:0.127587:0.904256:0.127587:0.887867:0.101014:0.887867:0.000000:0.000000:0.000000
100:@0.100075:0.925389:0.126647:0.925389:0.126647:0.909000:0.100075:0.909000:0.000000:0.000000:0.000000
47:@0.149276:0.904256:0.167059:0.904256:0.167059:0.887867:0.149276:0.887867:0.000000:0.000000
20:@0.148908:0.925389:0.166691:0.925389:0.166691:0.909000:0.148908:0.909000:0.000000:0.000000
;0,3:@0.170837:0.912734:0.213036:0.913992:0.213036:0.897604:0.170837:0.896345:0.000000:0.000000:0.000000:0.000000
3:@0.232256:0.904242:0.241249:0.904242:0.241249:0.887853:0.232256:0.887853:0.000000
9:@0.231888:0.925375:0.240880:0.925375:0.240880:0.908986:0.231888:0.908986:0.000000
1:@0.263196:0.904242:0.272189:0.904242:0.272189:0.887853:0.263196:0.887853:0.000000
3:@0.262625:0.925375:0.271618:0.925375:0.271618:0.908986:0.262625:0.908986:0.000000
;:@0.274621:0.913979:0.277828:0.913979:0.277828:0.897590:0.274621:0.897590:0.000000
3:@0.295868:0.904228:0.304861:0.904228:0.304861:0.887839:0.295868:0.887839:0.000000
5 20:@0.295868:0.925361:0.340979:0.925361:0.340979:0.908972:0.295868:0.908972:0.000000:0.000000:0.000000:0.000000
47:@0.323565:0.904228:0.341348:0.904228:0.341348:0.887839:0.323565:0.887839:0.000000:0.000000
4:@0.360844:0.904228:0.369837:0.904228:0.369837:0.887839:0.360844:0.887839:0.000000
5:@0.361047:0.925361:0.370040:0.925361:0.370040:0.908972:0.361047:0.908972:0.000000
1:@0.389518:0.904228:0.398510:0.904228:0.398510:0.887839:0.389518:0.887839:0.000000
3:@0.388946:0.925361:0.397939:0.925361:0.397939:0.908972:0.388946:0.908972:0.000000
1:@0.422356:0.904228:0.431348:0.904228:0.431348:0.887839:0.422356:0.887839:0.000000
60:@0.417177:0.925361:0.434960:0.925361:0.434960:0.908972:0.417177:0.908972:0.000000:0.000000
:@0.451840:0.913965:0.455875:0.913965:0.455875:0.897576:0.451840:0.897576:0.000000
− +:@0.344794:0.913384:0.319106:0.913384:0.319106:0.897811:0.344794:0.897811:0.000000:0.000000:0.000000
+:@0.373633:0.913384:0.354910:0.913384:0.354910:0.897811:0.373633:0.897811:0.000000
−:@0.402970:0.913453:0.413086:0.913453:0.413086:0.897880:0.402970:0.897880:0.000000
=:@0.438646:0.913384:0.448762:0.913384:0.448762:0.897811:0.438646:0.897811:0.000000
=:@0.247072:0.913384:0.257189:0.913384:0.257189:0.897811:0.247072:0.897811:0.000000
=:@0.216601:0.913420:0.226718:0.913420:0.226718:0.897847:0.216601:0.897847:0.000000
=:@0.133455:0.913420:0.143572:0.913420:0.143572:0.897847:0.133455:0.897847:0.000000
=:@0.085433:0.913420:0.095550:0.913420:0.095550:0.897847:0.085433:0.897847:0.000000
36 141 48:@0.454515:0.903659:0.550825:0.903659:0.550825:0.887270:0.454515:0.887270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60:@0.454671:0.924797:0.472454:0.924797:0.472454:0.908408:0.454671:0.908408:0.000000:0.000000
60:@0.493674:0.924797:0.511457:0.924797:0.511457:0.908408:0.493674:0.908408:0.000000:0.000000
60:@0.532833:0.924797:0.550615:0.924797:0.550615:0.908408:0.532833:0.908408:0.000000:0.000000
20:@0.569792:0.903659:0.587574:0.903659:0.587574:0.887270:0.569792:0.887270:0.000000:0.000000
60:@0.569949:0.924797:0.587732:0.924797:0.587732:0.908408:0.569949:0.908408:0.000000:0.000000
1:@0.612040:0.903659:0.621032:0.903659:0.621032:0.887270:0.612040:0.887270:0.000000
60:@0.606856:0.924797:0.624639:0.924797:0.624639:0.908408:0.606856:0.908408:0.000000:0.000000
148:@0.644340:0.903659:0.670913:0.903659:0.670913:0.887270:0.644340:0.887270:0.000000:0.000000:0.000000
60:@0.649471:0.924797:0.667254:0.924797:0.667254:0.908408:0.649471:0.908408:0.000000:0.000000
37:@0.691771:0.903659:0.709554:0.903659:0.709554:0.887270:0.691771:0.887270:0.000000:0.000000
15:@0.691562:0.924797:0.709344:0.924797:0.709344:0.908408:0.691562:0.908408:0.000000:0.000000
+:@0.476769:0.914078:0.486886:0.914078:0.486886:0.898505:0.476769:0.898505:0.000000
−:@0.517863:0.914078:0.527979:0.914078:0.527979:0.898505:0.517863:0.898505:0.000000
+:@0.555142:0.914078:0.565259:0.914078:0.565259:0.898505:0.555142:0.898505:0.000000
−:@0.592052:0.914078:0.602169:0.914078:0.602169:0.898505:0.592052:0.898505:0.000000
=:@0.629997:0.914080:0.640113:0.914080:0.640113:0.898507:0.629997:0.898507:0.000000
=:@0.676268:0.914080:0.686385:0.914080:0.686385:0.898507:0.676268:0.898507:0.000000
D:@0.120843:0.675485:0.133429:0.675485:0.133429:0.658584:0.120843:0.658584:0.000000
U,:@0.154676:0.675485:0.170837:0.675485:0.170837:0.658584:0.154676:0.658584:0.000000:0.000000
d:@0.193024:0.675485:0.203730:0.675485:0.203730:0.658584:0.193024:0.658584:0.000000
c:@0.229860:0.675485:0.238134:0.675485:0.238134:0.658584:0.229860:0.658584:0.000000
3:@0.122648:0.701901:0.131641:0.701901:0.131641:0.685512:0.122648:0.685512:0.000000
4,:@0.156666:0.701901:0.168865:0.701901:0.168865:0.685512:0.156666:0.685512:0.000000:0.000000
6:@0.193890:0.701901:0.202882:0.701901:0.202882:0.685512:0.193890:0.685512:0.000000
3:@0.229510:0.701901:0.238503:0.701901:0.238503:0.685512:0.229510:0.685512:0.000000
−:@0.086051:0.726533:0.097034:0.726533:0.097034:0.710144:0.086051:0.710144:0.000000
2:@0.122667:0.726533:0.131660:0.726533:0.131660:0.710144:0.122667:0.710144:0.000000
5,:@0.156684:0.726533:0.168883:0.726533:0.168883:0.710144:0.156684:0.710144:0.000000:0.000000
8:@0.193908:0.726533:0.202901:0.726533:0.202901:0.710144:0.193908:0.710144:0.000000
6:@0.229529:0.726533:0.238521:0.726533:0.238521:0.710144:0.229529:0.710144:0.000000
0:@0.122685:0.751164:0.131678:0.751164:0.131678:0.734775:0.122685:0.734775:0.000000
8,:@0.156703:0.751164:0.168902:0.751164:0.168902:0.734775:0.156703:0.734775:0.000000:0.000000
7:@0.193927:0.751164:0.202919:0.751164:0.202919:0.734775:0.193927:0.734775:0.000000
7:@0.229547:0.751164:0.238540:0.751164:0.238540:0.734775:0.229547:0.734775:0.000000
Solución:@0.073209:0.647969:0.136987:0.647969:0.136987:0.631331:0.073209:0.631331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para adicionar dos números racionales en forma de fracciones homogéneas, se :@0.302799:0.536152:0.893430:0.536152:0.893430:0.519763:0.302799:0.519763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
adicionan, sus numeradores y se mantiene el denominador.:@0.302799:0.552748:0.739250:0.552748:0.739250:0.536360:0.302799:0.536360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando las fracciones tienen distinto denominador, es decir, son fracciones :@0.302799:0.576467:0.893423:0.576467:0.893423:0.560079:0.302799:0.560079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
heterogéneas, es necesario reducir las fracciones al denominador común; luego, :@0.302799:0.593064:0.893438:0.593064:0.893438:0.576675:0.302799:0.576675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se adicionan como fracciones homogéneas. :@0.302799:0.609660:0.628946:0.609660:0.628946:0.593271:0.302799:0.593271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.068298:0.434944:0.068298:0.429837:0.056216:0.429837:0.056216:0.434944:0.000000
Shutterstock:@0.068298:0.429837:0.068298:0.392119:0.056387:0.392119:0.056387:0.429837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.068298:0.540082:0.068298:0.534975:0.056216:0.534975:0.056216:0.540082:0.000000
Shutterstock:@0.068298:0.534975:0.068298:0.497257:0.056387:0.497257:0.056387:0.534975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En las operaciones :@0.121035:0.208742:0.248303:0.208742:0.248303:0.193843:0.121035:0.193843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de adición o :@0.162062:0.223830:0.248303:0.223830:0.248303:0.208931:0.162062:0.208931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sustracción con :@0.140150:0.238917:0.248303:0.238917:0.248303:0.224018:0.140150:0.224018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números racionales :@0.114385:0.254005:0.248303:0.254005:0.248303:0.239106:0.114385:0.239106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puedes operar con :@0.118405:0.269093:0.248303:0.269093:0.248303:0.254194:0.118405:0.254194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones homogéneas :@0.084599:0.284180:0.248303:0.284180:0.248303:0.269281:0.084599:0.269281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o heterogéneas.:@0.137151:0.299268:0.244633:0.299268:0.244633:0.284369:0.137151:0.284369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115676:0.176300:0.223216:0.176300:0.223216:0.159399:0.115676:0.159399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La base para tener :@0.122645:0.829889:0.248303:0.829889:0.248303:0.814990:0.122645:0.814990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.244634:0.829889:0.248303:0.829889:0.248303:0.814990:0.244634:0.814990:0.000000
buenas relaciones :@0.124588:0.844977:0.248303:0.844977:0.248303:0.830078:0.124588:0.830078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpersonales está :@0.111086:0.860064:0.248305:0.860064:0.248305:0.845165:0.111086:0.845165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en reconocer las :@0.135092:0.875152:0.248305:0.875152:0.248305:0.860253:0.135092:0.860253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emociones de los demás, :@0.076140:0.890240:0.248302:0.890240:0.248302:0.875340:0.076140:0.875340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así como conocer y :@0.115073:0.905327:0.248305:0.905327:0.248305:0.890428:0.115073:0.890428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
manejar tus emociones. :@0.085689:0.920415:0.248302:0.920415:0.248302:0.905516:0.085689:0.905516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.100061:0.797164:0.238833:0.797164:0.238833:0.780263:0.100061:0.780263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000