﻿101:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
El número 0,9 se :@0.733044:0.174614:0.846104:0.174614:0.846104:0.160369:0.733044:0.160369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aproxima al número :@0.733044:0.189702:0.870998:0.189702:0.870998:0.175456:0.733044:0.175456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. En otras palabras, :@0.733044:0.204789:0.867262:0.204789:0.867262:0.190544:0.733044:0.190544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los símbolos “0,999...” :@0.733044:0.219877:0.868770:0.219877:0.868770:0.205632:0.733044:0.205632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y “1” son dos :@0.733044:0.234964:0.819218:0.234964:0.819218:0.220719:0.733044:0.220719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representaciones :@0.733044:0.250052:0.851098:0.250052:0.851098:0.235807:0.733044:0.235807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distintas del mismo :@0.733044:0.265140:0.866493:0.265140:0.866493:0.250894:0.733044:0.250894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número real.:@0.733044:0.280227:0.816871:0.280227:0.816871:0.265982:0.733044:0.265982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.765616:0.148846:0.867484:0.148846:0.867484:0.131945:0.765616:0.131945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Profundiza :@0.733044:0.366214:0.811780:0.366214:0.811780:0.351101:0.733044:0.351101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sobre :@0.811780:0.366214:0.852738:0.366214:0.852738:0.351969:0.811780:0.351969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el tema de fracción :@0.733044:0.381302:0.864433:0.381302:0.864433:0.367056:0.733044:0.367056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
generatriz; ingresando :@0.733044:0.396389:0.885874:0.396389:0.885874:0.382144:0.733044:0.382144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al siguiente enlace web: :@0.733044:0.411477:0.896561:0.411477:0.896561:0.397232:0.733044:0.397232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/8m16:@0.733044:0.433693:0.822954:0.433693:0.822954:0.418568:0.733044:0.418568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.751203:0.340584:0.898855:0.340584:0.898855:0.323683:0.751203:0.323683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.733044:0.606918:0.782581:0.606918:0.782581:0.591805:0.733044:0.591805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el siguiente :@0.782313:0.606918:0.863344:0.606918:0.863344:0.592673:0.782313:0.592673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web: :@0.733044:0.622006:0.813824:0.622006:0.813824:0.607760:0.733044:0.607760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.813288:0.622006:0.816337:0.622006:0.816337:0.606880:0.813288:0.606880:0.000000
lynk.ec/8m17:@0.733044:0.637093:0.822954:0.637093:0.822954:0.621968:0.733044:0.621968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime:@0.733044:0.659310:0.790940:0.659310:0.790940:0.644197:0.733044:0.644197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la hoja 11 :@0.790672:0.659310:0.859256:0.659310:0.859256:0.645065:0.790672:0.645065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.733044:0.674397:0.743816:0.674397:0.743816:0.660152:0.733044:0.660152:0.000000:0.000000
refuerza :@0.743548:0.674397:0.802047:0.674397:0.802047:0.659285:0.743548:0.659285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tu :@0.801779:0.674397:0.819252:0.674397:0.819252:0.660152:0.801779:0.660152:0.000000:0.000000:0.000000
aprendizaje.:@0.733044:0.689485:0.810239:0.689485:0.810239:0.675240:0.733044:0.675240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.751203:0.581288:0.898855:0.581288:0.898855:0.564387:0.751203:0.564387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracción generatriz de un número decimal:@0.095800:0.158357:0.533414:0.158357:0.533414:0.136548:0.095800:0.136548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se presentó el proceso para expresar un número decimal en fracción. Ahora se :@0.095800:0.184701:0.698244:0.184701:0.698244:0.169032:0.095800:0.169032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verá el proceso inverso: cómo encontrar el número fraccionario que corresponde :@0.095800:0.201298:0.698108:0.201298:0.698108:0.185628:0.095800:0.185628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a un número decimal dado.:@0.095800:0.217894:0.298187:0.217894:0.298187:0.202224:0.095800:0.202224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.095800:0.293279:0.165306:0.293279:0.165306:0.278167:0.095800:0.278167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.165305:0.293594:0.169341:0.293594:0.169341:0.277924:0.165305:0.277924:0.000000
Encontramos:@0.095796:0.317313:0.200704:0.317313:0.200704:0.300412:0.095796:0.300412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la fracción generatriz del :@0.200704:0.317313:0.388736:0.317313:0.388736:0.301643:0.200704:0.301643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal exacto::@0.388736:0.317313:0.512955:0.317313:0.512955:0.300412:0.388736:0.300412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2,16.:@0.512955:0.317313:0.550381:0.317313:0.550381:0.301643:0.512955:0.301643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.095800:0.345241:0.156461:0.345241:0.156461:0.330128:0.095800:0.330128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.095800:0.369281:0.151396:0.369281:0.151396:0.352380:0.095800:0.352380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para encontrar la fracción generatriz, :@0.151396:0.369281:0.427330:0.369281:0.427330:0.353611:0.151396:0.353611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribimos:@0.427533:0.369281:0.513479:0.369281:0.513479:0.352380:0.427533:0.352380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 como numerador el nú-:@0.513479:0.369281:0.694107:0.369281:0.694107:0.353611:0.513479:0.353611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mero decimal sin coma.:@0.095800:0.385877:0.270660:0.385877:0.270660:0.370207:0.095800:0.370207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216:@0.381484:0.400551:0.408462:0.400551:0.408462:0.384881:0.381484:0.384881:0.000000:0.000000:0.000000
Paso 2.:@0.095800:0.424270:0.152060:0.424270:0.152060:0.407369:0.095800:0.407369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En el denominador :@0.152060:0.424270:0.303369:0.424270:0.303369:0.408600:0.152060:0.408600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escribimos:@0.304291:0.424270:0.390237:0.424270:0.390237:0.407369:0.304291:0.407369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la unidad seguida de tantos ceros como :@0.390237:0.424270:0.698181:0.424270:0.698181:0.408600:0.390237:0.408600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cifras decimales tenga el número.:@0.095800:0.440866:0.340958:0.440866:0.340958:0.425197:0.095800:0.425197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(Dos cifras decimales, dos ceros en el denominador) :@0.202805:0.478525:0.551955:0.478525:0.551955:0.464280:0.202805:0.464280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216:@0.556140:0.457780:0.582713:0.457780:0.582713:0.442110:0.556140:0.442110:0.000000:0.000000:0.000000
100:@0.555566:0.478919:0.582138:0.478919:0.582138:0.463249:0.555566:0.463249:0.000000:0.000000:0.000000
Paso 3. :@0.095800:0.506926:0.155008:0.506926:0.155008:0.490026:0.095800:0.490026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego se simplifica hasta encontrar la fracción irreducible.:@0.155008:0.506926:0.578009:0.506926:0.578009:0.491256:0.155008:0.491256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
216:@0.338011:0.530713:0.364583:0.530713:0.364583:0.515043:0.338011:0.515043:0.000000:0.000000:0.000000
100:@0.337434:0.551852:0.364007:0.551852:0.364007:0.536182:0.337434:0.536182:0.000000:0.000000:0.000000
108:@0.385179:0.530713:0.411751:0.530713:0.411751:0.515043:0.385179:0.515043:0.000000:0.000000:0.000000
50:@0.390152:0.551852:0.407935:0.551852:0.407935:0.536182:0.390152:0.536182:0.000000:0.000000
54:@0.433499:0.530713:0.451282:0.530713:0.451282:0.515043:0.433499:0.515043:0.000000:0.000000
25:@0.434076:0.551852:0.451858:0.551852:0.451858:0.536182:0.434076:0.536182:0.000000:0.000000
=:@0.369892:0.541511:0.333767:0.541511:0.333767:0.524522:0.369892:0.524522:0.000000
=:@0.417053:0.541511:0.380929:0.541511:0.380929:0.524522:0.417053:0.524522:0.000000
2,16:@0.359057:0.580275:0.390033:0.580275:0.390033:0.564605:0.359057:0.564605:0.000000:0.000000:0.000000:0.000000
54:@0.410212:0.570524:0.427994:0.570524:0.427994:0.554854:0.410212:0.554854:0.000000:0.000000
25:@0.410783:0.591657:0.428566:0.591657:0.428566:0.575987:0.410783:0.575987:0.000000:0.000000
=:@0.393764:0.581328:0.404801:0.581328:0.404801:0.564340:0.393764:0.564340:0.000000
Ejemplo 4 :@0.095800:0.599662:0.168857:0.599662:0.168857:0.584549:0.095800:0.584549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontramos:@0.095800:0.623701:0.200709:0.623701:0.200709:0.606800:0.095800:0.606800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la fracción generatriz de los :@0.200709:0.623701:0.409453:0.623701:0.409453:0.608031:0.200709:0.608031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimales periódicos puros::@0.409453:0.623701:0.630861:0.623701:0.630861:0.606800:0.409453:0.606800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096353:0.649259:0.111261:0.649259:0.111261:0.632358:0.096353:0.632358:0.000000:0.000000
   :@0.111261:0.649259:0.122704:0.649259:0.122704:0.632358:0.111261:0.632358:0.000000:0.000000:0.000000
0,7:@0.125327:0.649255:0.148822:0.649255:0.148822:0.633585:0.125327:0.633585:0.000000:0.000000:0.000000
:@0.140771:0.639046:0.148327:0.639046:0.148327:0.622297:0.140771:0.622297:0.000000
Paso 1.:@0.096359:0.672979:0.152563:0.672979:0.152563:0.656079:0.096359:0.656079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para encontrar la fracción ge-:@0.152563:0.672979:0.375354:0.672979:0.375354:0.657309:0.152563:0.657309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neratriz cuando tiene 0 enteros, se es-:@0.096359:0.689576:0.375333:0.689576:0.375333:0.673906:0.096359:0.673906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cribe el período como numerador.:@0.096359:0.706172:0.348298:0.706172:0.348298:0.690502:0.096359:0.690502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.230512:0.730211:0.239505:0.730211:0.239505:0.714542:0.230512:0.714542:0.000000
Paso 2.:@0.096359:0.782545:0.151273:0.782545:0.151273:0.765645:0.096359:0.765645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En el denominador se colocan :@0.151273:0.782545:0.379407:0.782545:0.379407:0.766876:0.151273:0.766876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tantos 9 como cifras decimales tenga :@0.096359:0.799142:0.379389:0.799142:0.379389:0.783472:0.096359:0.783472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el período.:@0.096359:0.815738:0.174269:0.815738:0.174269:0.800068:0.096359:0.800068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.108394:0.833232:0.117387:0.833232:0.117387:0.817562:0.108394:0.817562:0.000000
9:@0.108597:0.854365:0.117589:0.854365:0.117589:0.838695:0.108597:0.838695:0.000000
(Una cifra decimal en el período: va un nueve):@0.122843:0.852092:0.367290:0.852092:0.367290:0.840696:0.122843:0.840696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3. Simplificamos:@0.096359:0.876759:0.272877:0.876759:0.272877:0.859858:0.096359:0.859858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si la fracción :@0.272877:0.876759:0.379408:0.876759:0.379408:0.861089:0.272877:0.861089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es reducible.:@0.096359:0.893355:0.188293:0.893355:0.188293:0.877685:0.096359:0.877685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.415710:0.643289:0.431926:0.643289:0.431926:0.626389:0.415710:0.626389:0.000000:0.000000
   :@0.431926:0.643289:0.443370:0.643289:0.443370:0.626389:0.431926:0.626389:0.000000:0.000000:0.000000
3,272727...:@0.443370:0.643289:0.519144:0.643289:0.519144:0.627620:0.443370:0.627620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1.:@0.415710:0.667008:0.471914:0.667008:0.471914:0.650108:0.415710:0.650108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Para encontrar la fracción ge-:@0.471914:0.667008:0.694704:0.667008:0.694704:0.651338:0.471914:0.651338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neratriz cuando tiene enteros, se escri-:@0.415710:0.683605:0.694719:0.683605:0.694719:0.667935:0.415710:0.667935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
be el entero como numerador, segui-:@0.415710:0.700201:0.694668:0.700201:0.694668:0.684531:0.415710:0.684531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do del período, y se resta el entero.:@0.415710:0.716797:0.670798:0.716797:0.670798:0.701128:0.415710:0.701128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.558554:0.741513:0.568671:0.741513:0.568671:0.725940:0.558554:0.725940:0.000000
327 3:@0.529236:0.740836:0.580428:0.740836:0.580428:0.725166:0.529236:0.725166:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.415722:0.789145:0.470636:0.789145:0.470636:0.772244:0.415722:0.772244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 En el denominador se colocan :@0.470636:0.789145:0.698770:0.789145:0.698770:0.773475:0.470636:0.773475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tantos 9 como cifras decimales tenga :@0.415722:0.805741:0.698752:0.805741:0.698752:0.790072:0.415722:0.790072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el período.:@0.415722:0.822338:0.493632:0.822338:0.493632:0.806668:0.415722:0.806668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
324:@0.430682:0.846371:0.457254:0.846371:0.457254:0.830701:0.430682:0.830701:0.000000:0.000000:0.000000
99:@0.435288:0.867510:0.453071:0.867510:0.453071:0.851840:0.435288:0.851840:0.000000:0.000000
(Dos cifras en el período: van dos nueves):@0.463349:0.865231:0.683913:0.865231:0.683913:0.853834:0.463349:0.853834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3. Simplificamos:@0.415710:0.889898:0.592228:0.889898:0.592228:0.872997:0.415710:0.872997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si la fracción :@0.592228:0.889898:0.698758:0.889898:0.698758:0.874228:0.592228:0.874228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es reducible.:@0.415710:0.906494:0.507644:0.906494:0.507644:0.890824:0.415710:0.890824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
324:@0.521699:0.913937:0.548272:0.913937:0.548272:0.898267:0.521699:0.898267:0.000000:0.000000:0.000000
99:@0.526306:0.935075:0.544089:0.935075:0.544089:0.919405:0.526306:0.919405:0.000000:0.000000
36:@0.570385:0.913937:0.588167:0.913937:0.588167:0.898267:0.570385:0.898267:0.000000:0.000000
11:@0.571328:0.935075:0.589111:0.935075:0.589111:0.919405:0.571328:0.919405:0.000000:0.000000
=:@0.553947:0.924734:0.564984:0.924734:0.564984:0.907746:0.553947:0.907746:0.000000
La fracción que genera una expresión decimal se llama :@0.140821:0.254000:0.509270:0.254000:0.509270:0.239755:0.140821:0.239755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracción generatriz.:@0.509270:0.254000:0.648933:0.254000:0.648933:0.238636:0.509270:0.238636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.770807:0.763886:0.859846:0.763886:0.859846:0.748522:0.770807:0.748522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Cultura física:@0.760890:0.778973:0.866296:0.778973:0.866296:0.763609:0.760890:0.763609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La forma de expresión :@0.733047:0.794061:0.881239:0.794061:0.881239:0.779816:0.733047:0.779816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal en el deporte :@0.733047:0.809149:0.880215:0.809149:0.880215:0.794903:0.733047:0.794903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es algo muy importante; :@0.733047:0.824236:0.896216:0.824236:0.896216:0.809991:0.733047:0.809991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por ejemplo, para :@0.733047:0.839324:0.851755:0.839324:0.851755:0.825079:0.733047:0.825079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar el ganador :@0.733047:0.854411:0.882897:0.854411:0.882897:0.840166:0.733047:0.840166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de una competencia :@0.733047:0.869499:0.872159:0.869499:0.872159:0.855254:0.733047:0.855254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es importante conocer :@0.733047:0.884587:0.885611:0.884587:0.885611:0.870341:0.733047:0.870341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta las décimas de :@0.733047:0.899674:0.870583:0.899674:0.870583:0.885429:0.733047:0.885429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo.:@0.733047:0.914762:0.793875:0.914762:0.793875:0.900517:0.733047:0.900517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.746052:0.738907:0.898931:0.738907:0.898931:0.722006:0.746052:0.722006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000