128:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
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
9.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
Fracciones algebraicas.:@0.286308:0.063945:0.687239:0.063945:0.687239:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones:@0.286308:0.094120:0.505148:0.094120:0.505148:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
Las fracciones algebraicas son una herramienta importante en diversas ramas :@0.287495:0.151639:0.907086:0.151639:0.907086:0.135250:0.287495:0.135250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las ciencias, especialmente en matemáticas y física. Estas fracciones se utilizan :@0.287495:0.168236:0.907176:0.168236:0.907176:0.151847:0.287495:0.151847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para representar cantidades que no son números enteros, como variables, funciones :@0.287495:0.184832:0.907084:0.184832:0.907084:0.168443:0.287495:0.168443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o relaciones matemáticas.:@0.287495:0.201428:0.476817:0.201428:0.476817:0.185040:0.287495:0.185040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una fracción  algebraica es  una fracción cuyo  numerador y  denominador son :@0.287495:0.221593:0.907162:0.221593:0.907162:0.205204:0.287495:0.205204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresiones algebraicas.:@0.287495:0.238189:0.464452:0.238189:0.464452:0.221800:0.287495:0.221800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplificación de fracciones algebraicas:@0.296992:0.265580:0.612542:0.265580:0.612542:0.248679:0.296992:0.248679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simplificar una fracción significa reducirla a su más simple expresión, es decir :@0.296992:0.289299:0.898212:0.289299:0.898212:0.272910:0.296992:0.272910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando el numerador y el denominador no tienen factores en común. :@0.296992:0.305895:0.814802:0.305895:0.814802:0.289506:0.296992:0.289506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para simplificar una fracción se divide al numerador y denominador por su máximo :@0.287502:0.330444:0.907113:0.330444:0.907113:0.314055:0.287502:0.314055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
común divisor.:@0.287502:0.347040:0.394860:0.347040:0.394860:0.330651:0.287502:0.330651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.287502:0.370759:0.347097:0.370759:0.347097:0.354121:0.287502:0.354121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.347097:0.370759:0.350304:0.370759:0.350304:0.354370:0.347097:0.354370:0.000000
Simplificar las fracciones algebraicas::@0.287502:0.390924:0.555016:0.390924:0.555016:0.374535:0.287502:0.374535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287502:0.420922:0.306225:0.420922:0.306225:0.404021:0.287502:0.404021:0.000000:0.000000:0.000000
−:@0.314328:0.420731:0.324445:0.420731:0.324445:0.403788:0.314328:0.403788:0.000000
2:@0.333640:0.412377:0.342633:0.412377:0.342633:0.395988:0.333640:0.395988:0.000000
8:@0.327559:0.431989:0.336551:0.431989:0.336551:0.415600:0.327559:0.415600:0.000000
25:@0.352753:0.404722:0.373354:0.404722:0.373354:0.395224:0.352753:0.395224:0.000000:0.000000
34:@0.357936:0.424328:0.378857:0.424328:0.378857:0.414829:0.357936:0.414829:0.000000:0.000000
yz:@0.343696:0.412383:0.366639:0.412383:0.366639:0.396022:0.343696:0.396022:0.000000:0.000000
wy z:@0.336215:0.431995:0.371835:0.431995:0.371835:0.415634:0.336215:0.415634:0.000000:0.000000:0.000000:0.000000
Solución:@0.287511:0.455354:0.351289:0.455354:0.351289:0.438716:0.287511:0.438716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287511:0.479073:0.306233:0.479073:0.306233:0.462173:0.287511:0.462173:0.000000:0.000000:0.000000
Aplicamos la propiedad de la :@0.311245:0.479073:0.528581:0.479073:0.528581:0.462684:0.311245:0.462684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
potenciación de bases iguales::@0.311245:0.495670:0.535049:0.495670:0.535049:0.479281:0.311245:0.479281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.314328:0.545069:0.324445:0.545069:0.324445:0.528127:0.314328:0.528127:0.000000
= −:@0.385938:0.545069:0.409672:0.545069:0.409672:0.528127:0.385938:0.528127:0.000000:0.000000:0.000000
=:@0.483475:0.545069:0.493592:0.545069:0.493592:0.528127:0.483475:0.528127:0.000000
=:@0.533322:0.545069:0.543439:0.545069:0.543439:0.528127:0.533322:0.528127:0.000000
−:@0.437510:0.528820:0.443373:0.528820:0.443373:0.519001:0.437510:0.519001:0.000000
−:@0.464572:0.528820:0.470435:0.528820:0.470435:0.519001:0.464572:0.519001:0.000000
−:@0.509021:0.528820:0.514884:0.528820:0.514884:0.519001:0.509021:0.519001:0.000000
2:@0.333645:0.536723:0.342638:0.536723:0.342638:0.520334:0.333645:0.520334:0.000000
8:@0.327564:0.556334:0.336556:0.556334:0.336556:0.539945:0.327564:0.539945:0.000000
2:@0.412792:0.536723:0.421784:0.536723:0.421784:0.520334:0.412792:0.520334:0.000000
8:@0.434352:0.556334:0.443345:0.556334:0.443345:0.539945:0.434352:0.539945:0.000000
4:@0.502203:0.556334:0.511195:0.556334:0.511195:0.539945:0.502203:0.539945:0.000000
4:@0.548364:0.556334:0.557356:0.556334:0.557356:0.539945:0.548364:0.539945:0.000000
25:@0.352753:0.529061:0.373354:0.529061:0.373354:0.519563:0.352753:0.519563:0.000000:0.000000
34:@0.357932:0.548666:0.378854:0.548666:0.378854:0.539168:0.357932:0.539168:0.000000:0.000000
23 54:@0.431900:0.529061:0.476380:0.529061:0.476380:0.519563:0.431900:0.519563:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.514827:0.529061:0.520039:0.529061:0.520039:0.519563:0.514827:0.519563:0.000000
yz:@0.343696:0.536723:0.366639:0.536723:0.366639:0.520362:0.343696:0.520362:0.000000:0.000000
wy z:@0.336215:0.556334:0.371835:0.556334:0.371835:0.539973:0.336215:0.539973:0.000000:0.000000:0.000000:0.000000
y:@0.422861:0.536723:0.430343:0.536723:0.430343:0.520362:0.422861:0.520362:0.000000
z:@0.450448:0.536723:0.457690:0.536723:0.457690:0.520362:0.450448:0.520362:0.000000
w:@0.443021:0.556334:0.455755:0.556334:0.455755:0.539973:0.443021:0.539973:0.000000
yz:@0.499668:0.536723:0.527217:0.536723:0.527217:0.520362:0.499668:0.520362:0.000000:0.000000
w:@0.510872:0.556334:0.523605:0.556334:0.523605:0.539973:0.510872:0.539973:0.000000
z:@0.559502:0.536723:0.566744:0.536723:0.566744:0.520362:0.559502:0.520362:0.000000
wy:@0.557033:0.556334:0.577175:0.556334:0.577175:0.539973:0.557033:0.539973:0.000000:0.000000
b)  :@0.621696:0.420936:0.645541:0.420936:0.645541:0.404035:0.621696:0.404035:0.000000:0.000000:0.000000:0.000000
x:@0.650922:0.412923:0.658385:0.412923:0.658385:0.396562:0.650922:0.396562:0.000000
xb:@0.684018:0.412923:0.700769:0.412923:0.700769:0.396562:0.684018:0.396562:0.000000:0.000000
x:@0.651825:0.432534:0.659288:0.432534:0.659288:0.416173:0.651825:0.416173:0.000000
b:@0.683189:0.432534:0.692458:0.432534:0.692458:0.416173:0.683189:0.416173:0.000000
2:@0.659978:0.405261:0.665190:0.405261:0.665190:0.395762:0.659978:0.395762:0.000000
2:@0.660869:0.424867:0.666081:0.424867:0.666081:0.415369:0.660869:0.415369:0.000000
2:@0.692802:0.424867:0.698013:0.424867:0.698013:0.415369:0.692802:0.415369:0.000000
+:@0.669874:0.412508:0.679991:0.412508:0.679991:0.395566:0.669874:0.395566:0.000000
−:@0.670758:0.432119:0.680875:0.432119:0.680875:0.415177:0.670758:0.415177:0.000000
b) :@0.621686:0.479073:0.641716:0.479073:0.641716:0.462173:0.621686:0.462173:0.000000:0.000000:0.000000
Factorizamos la expresión del :@0.645420:0.479073:0.865058:0.479073:0.865058:0.462684:0.645420:0.462684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numerador y la del denominador :@0.645420:0.495670:0.892701:0.495670:0.892701:0.479281:0.645420:0.479281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y simplificamos::@0.645420:0.512266:0.761551:0.512266:0.761551:0.495877:0.645420:0.495877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.650821:0.538538:0.658285:0.538538:0.658285:0.522177:0.650821:0.522177:0.000000
xb:@0.683917:0.538538:0.700668:0.538538:0.700668:0.522177:0.683917:0.522177:0.000000:0.000000
x:@0.651724:0.558150:0.659188:0.558150:0.659188:0.541789:0.651724:0.541789:0.000000
b:@0.683088:0.558150:0.692357:0.558150:0.692357:0.541789:0.683088:0.541789:0.000000
xx b:@0.740877:0.537363:0.793285:0.537363:0.793285:0.521002:0.740877:0.521002:0.000000:0.000000:0.000000:0.000000
xb xb:@0.728623:0.558150:0.812598:0.558150:0.812598:0.541789:0.728623:0.541789:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.852807:0.538538:0.860270:0.538538:0.860270:0.522177:0.852807:0.522177:0.000000
xb:@0.840489:0.558145:0.873732:0.558145:0.873732:0.541784:0.840489:0.541784:0.000000:0.000000
2:@0.659878:0.530877:0.665089:0.530877:0.665089:0.521379:0.659878:0.521379:0.000000
2:@0.660764:0.550483:0.665976:0.550483:0.665976:0.540985:0.660764:0.540985:0.000000
2:@0.692696:0.550483:0.697908:0.550483:0.697908:0.540985:0.692696:0.540985:0.000000
+:@0.669772:0.538124:0.679888:0.538124:0.679888:0.521181:0.669772:0.521181:0.000000
−:@0.670656:0.557735:0.680773:0.557735:0.680773:0.540793:0.670656:0.540793:0.000000
=:@0.705632:0.546892:0.715749:0.546892:0.715749:0.529950:0.705632:0.529950:0.000000
+:@0.771290:0.536948:0.781406:0.536948:0.781406:0.520006:0.771290:0.520006:0.000000
(:@0.751230:0.538695:0.757367:0.538695:0.757367:0.517043:0.751230:0.517043:0.000000
):@0.794480:0.538695:0.800616:0.538695:0.800616:0.517043:0.794480:0.517043:0.000000
+:@0.740185:0.557730:0.750302:0.557730:0.750302:0.540788:0.740185:0.540788:0.000000
(:@0.720134:0.559480:0.726271:0.559480:0.726271:0.537828:0.720134:0.537828:0.000000
)(:@0.763384:0.559480:0.776999:0.559480:0.776999:0.537828:0.763384:0.537828:0.000000:0.000000
−:@0.790913:0.557730:0.801030:0.557730:0.801030:0.540788:0.790913:0.540788:0.000000
):@0.813799:0.559480:0.819935:0.559480:0.819935:0.537828:0.813799:0.537828:0.000000
=:@0.824574:0.546886:0.834691:0.546886:0.834691:0.529944:0.824574:0.529944:0.000000
−:@0.852050:0.557729:0.862166:0.557729:0.862166:0.540787:0.852050:0.540787:0.000000
Suma y resta de fracciones algebraicas:@0.287495:0.586243:0.619732:0.586243:0.619732:0.567806:0.287495:0.567806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i. Fracciones homogéneas:@0.287495:0.606089:0.492263:0.606089:0.492263:0.589189:0.287495:0.589189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para sumar y restar fracciones algebraicas homogéneas, conservamos el denomi-:@0.296992:0.634742:0.893641:0.634742:0.893641:0.618353:0.296992:0.618353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nador y sumamos algebraicamente los numeradores. Si es posible, simplificamos :@0.296992:0.651338:0.897584:0.651338:0.897584:0.634950:0.296992:0.634950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la fracción resultante.:@0.296992:0.667935:0.452151:0.667935:0.452151:0.651546:0.296992:0.651546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.287502:0.691654:0.347097:0.691654:0.347097:0.675016:0.287502:0.675016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.347097:0.691654:0.350304:0.691654:0.350304:0.675265:0.347097:0.675265:0.000000
Suma las siguientes fracciones.:@0.287502:0.715373:0.512555:0.715373:0.512555:0.698984:0.287502:0.698984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.295295:0.739147:0.304288:0.739147:0.304288:0.722758:0.295295:0.722758:0.000000
2:@0.291481:0.758759:0.300474:0.758759:0.300474:0.742370:0.291481:0.742370:0.000000
4:@0.339964:0.739147:0.348957:0.739147:0.348957:0.722758:0.339964:0.722758:0.000000
2:@0.336149:0.758759:0.345142:0.758759:0.345142:0.742370:0.336149:0.742370:0.000000
2:@0.380486:0.758759:0.389479:0.758759:0.389479:0.742370:0.380486:0.742370:0.000000
3:@0.426095:0.739147:0.435087:0.739147:0.435087:0.722758:0.426095:0.722758:0.000000
4:@0.460757:0.739147:0.469750:0.739147:0.469750:0.722758:0.460757:0.722758:0.000000
2:@0.452575:0.758759:0.461568:0.758759:0.461568:0.742370:0.452575:0.742370:0.000000
6:@0.528331:0.739147:0.537324:0.739147:0.537324:0.722758:0.528331:0.722758:0.000000
2:@0.524664:0.758759:0.533657:0.758759:0.533657:0.742370:0.524664:0.742370:0.000000
3:@0.570254:0.739147:0.579247:0.739147:0.579247:0.722758:0.570254:0.722758:0.000000
2:@0.310582:0.751091:0.315794:0.751091:0.315794:0.741593:0.310582:0.741593:0.000000
2:@0.355234:0.751091:0.360445:0.751091:0.360445:0.741593:0.355234:0.741593:0.000000
2:@0.399579:0.751091:0.404791:0.751091:0.404791:0.741593:0.399579:0.741593:0.000000
2:@0.471667:0.751091:0.476878:0.751091:0.476878:0.741593:0.471667:0.741593:0.000000
2:@0.543754:0.751091:0.548966:0.751091:0.548966:0.741593:0.543754:0.741593:0.000000
2:@0.581343:0.751091:0.586554:0.751091:0.586554:0.741593:0.581343:0.741593:0.000000
x:@0.305085:0.739147:0.312549:0.739147:0.312549:0.722786:0.305085:0.722786:0.000000
y:@0.301529:0.758759:0.309011:0.758759:0.309011:0.742397:0.301529:0.742397:0.000000
x:@0.350325:0.739147:0.357788:0.739147:0.357788:0.722786:0.350325:0.722786:0.000000
y:@0.346197:0.758759:0.353679:0.758759:0.353679:0.742397:0.346197:0.742397:0.000000
x:@0.389908:0.739147:0.397371:0.739147:0.397371:0.722786:0.389908:0.722786:0.000000
y:@0.390534:0.758759:0.398016:0.758759:0.398016:0.742397:0.390534:0.742397:0.000000
x:@0.435866:0.739147:0.443330:0.739147:0.443330:0.722786:0.435866:0.722786:0.000000
x x:@0.471100:0.739147:0.503956:0.739147:0.503956:0.722786:0.471100:0.722786:0.000000:0.000000:0.000000
y:@0.462623:0.758759:0.470105:0.758759:0.470105:0.742397:0.462623:0.742397:0.000000
x:@0.538693:0.739147:0.546156:0.739147:0.546156:0.722786:0.538693:0.722786:0.000000
y:@0.534712:0.758759:0.542194:0.758759:0.542194:0.742397:0.534712:0.742397:0.000000
x:@0.580044:0.739147:0.587507:0.739147:0.587507:0.722786:0.580044:0.722786:0.000000
y:@0.572305:0.758759:0.579786:0.758759:0.579786:0.742397:0.572305:0.742397:0.000000
+:@0.321965:0.747501:0.332082:0.747501:0.332082:0.730559:0.321965:0.730559:0.000000
−:@0.366615:0.747501:0.376732:0.747501:0.376732:0.730559:0.366615:0.730559:0.000000
=:@0.411597:0.747501:0.421714:0.747501:0.421714:0.730559:0.411597:0.730559:0.000000
+:@0.447427:0.738732:0.457544:0.738732:0.457544:0.721790:0.447427:0.721790:0.000000
−:@0.482661:0.738732:0.492778:0.738732:0.492778:0.721790:0.482661:0.721790:0.000000
=:@0.510136:0.747501:0.520253:0.747501:0.520253:0.730559:0.510136:0.730559:0.000000
=:@0.555726:0.747501:0.565843:0.747501:0.565843:0.730559:0.555726:0.730559:0.000000
ii. Fracciones con distinto denominador:@0.287495:0.785671:0.600082:0.785671:0.600082:0.768770:0.287495:0.768770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para sumar y restar fracciones algebraicas, seguimos el siguiente procedimiento::@0.287495:0.809390:0.873212:0.809390:0.873212:0.793001:0.287495:0.793001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  :@0.287495:0.829555:0.309351:0.829555:0.309351:0.812654:0.287495:0.812654:0.000000:0.000000:0.000000:0.000000
De ser posible factorizamos los denominadores.:@0.311230:0.829555:0.661608:0.829555:0.661608:0.813166:0.311230:0.813166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  :@0.287495:0.849719:0.309351:0.849719:0.309351:0.832819:0.287495:0.832819:0.000000:0.000000:0.000000:0.000000
Determinamos el mínimo común denominador de las fracciones por sumar, :@0.311230:0.849719:0.907068:0.849719:0.907068:0.833330:0.311230:0.833330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que es el mínimo común múltiplo de los denominadores.:@0.311230:0.866316:0.732681:0.866316:0.732681:0.849927:0.311230:0.849927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  :@0.287495:0.886480:0.309351:0.886480:0.309351:0.869580:0.287495:0.869580:0.000000:0.000000:0.000000:0.000000
Dividimos el mínimo común denominador para cada denominador y el resulta-:@0.311230:0.886480:0.903071:0.886480:0.903071:0.870091:0.311230:0.870091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do lo multiplicamos por el correspondiente numerador.:@0.311230:0.903077:0.718676:0.903077:0.718676:0.886688:0.311230:0.886688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  :@0.287495:0.923241:0.309351:0.923241:0.309351:0.906341:0.287495:0.906341:0.000000:0.000000:0.000000:0.000000
Reducimos términos semejantes y simplificamos si es posible.:@0.311230:0.923241:0.762632:0.923241:0.762632:0.906852:0.311230:0.906852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una fracción se :@0.124077:0.202505:0.248665:0.202505:0.248665:0.187606:0.124077:0.187606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
consideran tres signos, :@0.093873:0.217592:0.248663:0.217592:0.248663:0.202693:0.093873:0.202693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ejemplo::@0.160045:0.232680:0.244996:0.232680:0.244996:0.217781:0.160045:0.217781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.206201:0.261636:0.216318:0.261636:0.216318:0.244693:0.206201:0.244693:0.000000
+:@0.220022:0.252873:0.230139:0.252873:0.230139:0.235931:0.220022:0.235931:0.000000
−:@0.220335:0.272485:0.230452:0.272485:0.230452:0.255543:0.220335:0.255543:0.000000
a:@0.230701:0.253288:0.239971:0.253288:0.239971:0.236927:0.230701:0.236927:0.000000
b:@0.230440:0.272895:0.239709:0.272895:0.239709:0.256533:0.230440:0.256533:0.000000
En tal sentido, se debe :@0.095549:0.288635:0.248664:0.288635:0.248664:0.273736:0.095549:0.273736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicar la ley de signos del :@0.071559:0.303722:0.248664:0.303722:0.248664:0.288823:0.071559:0.288823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cociente para que la :@0.109671:0.318810:0.248666:0.318810:0.248666:0.303911:0.109671:0.303911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracción tenga un solo :@0.096319:0.333898:0.248666:0.333898:0.248666:0.318999:0.096319:0.318999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
signo, así::@0.181824:0.348985:0.244997:0.348985:0.244997:0.334086:0.181824:0.334086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.058780:0.374021:0.068897:0.374021:0.068897:0.357079:0.058780:0.357079:0.000000
+:@0.072601:0.365259:0.082718:0.365259:0.082718:0.348316:0.072601:0.348316:0.000000
−:@0.072914:0.384870:0.083031:0.384870:0.083031:0.367928:0.072914:0.367928:0.000000
=:@0.097520:0.374021:0.107637:0.374021:0.107637:0.357079:0.097520:0.357079:0.000000
−:@0.165316:0.374021:0.175432:0.374021:0.175432:0.357079:0.165316:0.357079:0.000000
−:@0.179764:0.365259:0.189881:0.365259:0.189881:0.348316:0.179764:0.348316:0.000000
−:@0.179930:0.384870:0.190047:0.384870:0.190047:0.367928:0.179930:0.367928:0.000000
=−:@0.204368:0.374021:0.228103:0.374021:0.228103:0.357079:0.204368:0.357079:0.000000:0.000000
a:@0.083280:0.365667:0.092549:0.365667:0.092549:0.349306:0.083280:0.349306:0.000000
b:@0.083019:0.385280:0.092288:0.385280:0.092288:0.368919:0.083019:0.368919:0.000000
a:@0.112283:0.365673:0.121553:0.365673:0.121553:0.349312:0.112283:0.349312:0.000000
b:@0.112179:0.385280:0.121448:0.385280:0.121448:0.368919:0.112179:0.368919:0.000000
a:@0.190129:0.365673:0.199398:0.365673:0.199398:0.349312:0.190129:0.349312:0.000000
b:@0.190025:0.385280:0.199294:0.385280:0.199294:0.368919:0.190025:0.368919:0.000000
a:@0.231487:0.365673:0.240756:0.365673:0.240756:0.349312:0.231487:0.349312:0.000000
b:@0.231383:0.385280:0.240652:0.385280:0.240652:0.368919:0.231383:0.368919:0.000000
         :@0.125528:0.374436:0.161849:0.374436:0.161849:0.358047:0.125528:0.358047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.071973:0.406126:0.082090:0.406126:0.082090:0.389184:0.071973:0.389184:0.000000
−:@0.072286:0.425737:0.082403:0.425737:0.082403:0.408795:0.072286:0.408795:0.000000
=−:@0.096892:0.414888:0.120627:0.414888:0.120627:0.397946:0.096892:0.397946:0.000000:0.000000
−:@0.177034:0.414888:0.187151:0.414888:0.187151:0.397946:0.177034:0.397946:0.000000
−:@0.191491:0.406126:0.201608:0.406126:0.201608:0.389184:0.191491:0.389184:0.000000
=:@0.216095:0.414888:0.226212:0.414888:0.226212:0.397946:0.216095:0.397946:0.000000
a:@0.082661:0.406534:0.091930:0.406534:0.091930:0.390173:0.082661:0.390173:0.000000
b:@0.082391:0.426147:0.091660:0.426147:0.091660:0.409786:0.082391:0.409786:0.000000
a:@0.124010:0.406541:0.133280:0.406541:0.133280:0.390179:0.124010:0.390179:0.000000
b:@0.123905:0.426147:0.133174:0.426147:0.133174:0.409786:0.123905:0.409786:0.000000
a:@0.201857:0.406541:0.211126:0.406541:0.211126:0.390179:0.201857:0.390179:0.000000
b:@0.196413:0.426147:0.205682:0.426147:0.205682:0.409786:0.196413:0.409786:0.000000
a:@0.230859:0.406541:0.240128:0.406541:0.240128:0.390179:0.230859:0.390179:0.000000
b:@0.230753:0.426147:0.240022:0.426147:0.240022:0.409786:0.230753:0.409786:0.000000
         :@0.137255:0.415303:0.173576:0.415303:0.173576:0.398914:0.137255:0.398914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116036:0.170064:0.223577:0.170064:0.223577:0.153163:0.116036:0.153163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para trabajar con :@0.133524:0.630344:0.248663:0.630344:0.248663:0.615445:0.133524:0.615445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones necesitarás :@0.099651:0.645432:0.248663:0.645432:0.248663:0.630533:0.099651:0.630533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
practicar la factorización :@0.082932:0.660519:0.248662:0.660519:0.248662:0.645620:0.082932:0.645620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de polinomios.:@0.145871:0.675607:0.244993:0.675607:0.244993:0.660708:0.145871:0.660708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa a::@0.182324:0.690695:0.244995:0.690695:0.244995:0.675796:0.182324:0.675796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9mt16:@0.149841:0.705782:0.244995:0.705782:0.244995:0.690657:0.149841:0.690657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza ejercicios :@0.139270:0.720870:0.248008:0.720870:0.248008:0.705996:0.139270:0.705996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interactivos y evalúa :@0.116051:0.735957:0.248008:0.735957:0.248008:0.721083:0.116051:0.721083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tu aprendizaje :@0.154146:0.751045:0.248008:0.751045:0.248008:0.736171:0.154146:0.736171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de factorización.:@0.140007:0.766133:0.244993:0.766133:0.244993:0.751259:0.140007:0.751259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.146946:0.597620:0.197417:0.597620:0.197417:0.580720:0.146946:0.580720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.32. :@0.290067:0.965521:0.338404:0.965521:0.338404:0.954766:0.290067:0.954766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular expresiones numéricas y algebraicas usando las operaciones básicas y las propiedades algebraicas en R.:@0.338404:0.965521:0.860145:0.965521:0.860145:0.955091:0.338404:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000