54:@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
Conjunto de números racionales :@0.286308:0.083045:0.858033:0.083045:0.858033:0.046171:0.286308:0.046171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.858033:0.089955:0.889314:0.089955:0.889314:0.044752:0.858033:0.044752:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Los números racionales surgen de la necesidad de expresar cantidades que no son :@0.287025:0.146738:0.908405:0.146738:0.908405:0.130349:0.287025:0.130349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteras. El término 'racional' proviene de la palabra 'razón', que se refiere a una divi-:@0.287025:0.163335:0.904422:0.163335:0.904422:0.146946:0.287025:0.146946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión. Los números racionales proporcionan una manera precisa de representar frac-:@0.287025:0.179931:0.904314:0.179931:0.904314:0.163542:0.287025:0.163542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones, por lo que se utilizan en la vida cotidiana para expresar medidas de tiempo, :@0.287025:0.196527:0.908347:0.196527:0.908347:0.180139:0.287025:0.180139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancia, peso, volumen, etc., que involucran divisiones de cantidades en partes más :@0.287025:0.213124:0.908458:0.213124:0.908458:0.196735:0.287025:0.196735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeñas, como veremos a continuación.:@0.287025:0.229720:0.593898:0.229720:0.593898:0.213331:0.287025:0.213331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luis organiza las actividades en su tiempo libre de un día normal así::@0.287025:0.253439:0.785671:0.253439:0.785671:0.237050:0.287025:0.237050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Considera el hecho de que Luis comienza a nadar con un punto inicial en 0.:@0.287025:0.363141:0.840495:0.363141:0.840495:0.346752:0.287025:0.346752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si son las 13:45, Luis comenta a su mamá que hace :@0.287025:0.383264:0.684325:0.383264:0.684325:0.366875:0.287025:0.366875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.689220:0.378704:0.698212:0.378704:0.698212:0.362315:0.689220:0.362315:0.000000
4:@0.689220:0.392852:0.698212:0.392852:0.698212:0.376464:0.689220:0.376464:0.000000
de hora terminó clases; se :@0.705344:0.383268:0.907641:0.383268:0.907641:0.366879:0.705344:0.366879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa por:@0.287018:0.405894:0.394728:0.405894:0.394728:0.389506:0.287018:0.389506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.396582:0.407694:0.408563:0.407694:0.408563:0.389845:0.396582:0.389845:0.000000
3:@0.413246:0.401407:0.422238:0.401407:0.422238:0.385018:0.413246:0.385018:0.000000
4:@0.413246:0.416814:0.422238:0.416814:0.422238:0.400425:0.413246:0.400425:0.000000
.:@0.427380:0.405902:0.430586:0.405902:0.430586:0.389513:0.427380:0.389513:0.000000
En cambio si son las 16:00, una vez que termina de nadar, llama a su casa e indica :@0.287035:0.433148:0.907687:0.433148:0.907687:0.416759:0.287035:0.416759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que llegará en :@0.287035:0.455774:0.395610:0.455774:0.395610:0.439385:0.287035:0.439385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.398225:0.450778:0.407218:0.450778:0.407218:0.434389:0.398225:0.434389:0.000000
2:@0.398225:0.464926:0.407218:0.464926:0.407218:0.448537:0.398225:0.448537:0.000000
hora, que se representa por :@0.414350:0.455770:0.619410:0.455770:0.619410:0.439381:0.414350:0.439381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.621505:0.455574:0.633486:0.455574:0.633486:0.437695:0.621505:0.437695:0.000000
1:@0.638204:0.449288:0.647196:0.449288:0.647196:0.432899:0.638204:0.432899:0.000000
2:@0.638204:0.464695:0.647196:0.464695:0.647196:0.448306:0.638204:0.448306:0.000000
 .:@0.649094:0.455774:0.655599:0.455774:0.655599:0.439385:0.649094:0.439385:0.000000:0.000000
Representación de fracciones en la recta numérica:@0.287259:0.622740:0.793282:0.622740:0.793282:0.601230:0.287259:0.601230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para representar fracciones en la recta numérica, se divide la parte entera en tantas :@0.287259:0.652650:0.908009:0.652650:0.908009:0.636261:0.287259:0.636261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces como indica el denominador y luego se cuentan sobre la recta, las partes que :@0.287259:0.669246:0.907865:0.669246:0.907865:0.652857:0.287259:0.652857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indica el numerador de la fracción hacia la derecha si la fracción es positiva,:@0.287259:0.685843:0.903811:0.685843:0.903811:0.669454:0.287259:0.669454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o a la izquierda si es negativa.:@0.287259:0.702439:0.502418:0.702439:0.502418:0.686050:0.287259:0.686050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.287259:0.724650:0.357616:0.724650:0.357616:0.708013:0.287259:0.708013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ubicamos en la recta numérica las fracciones :@0.287259:0.750043:0.620411:0.750043:0.620411:0.733654:0.287259:0.733654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.620411:0.750043:0.639133:0.750043:0.639133:0.733142:0.620411:0.733142:0.000000:0.000000:0.000000
–:@0.642841:0.752155:0.652054:0.752155:0.652054:0.735766:0.642841:0.735766:0.000000
7:@0.659333:0.743359:0.668326:0.743359:0.668326:0.726970:0.659333:0.726970:0.000000
4:@0.659333:0.762528:0.668326:0.762528:0.668326:0.746139:0.659333:0.746139:0.000000
;:@0.674739:0.750053:0.677945:0.750053:0.677945:0.733664:0.674739:0.733664:0.000000
   b):@0.677945:0.750053:0.705605:0.750053:0.705605:0.733152:0.677945:0.733152:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.705605:0.750053:0.713676:0.750053:0.713676:0.733664:0.705605:0.733664:0.000000:0.000000
1:@0.717503:0.742822:0.726495:0.742822:0.726495:0.726433:0.717503:0.726433:0.000000
3:@0.717503:0.761991:0.726495:0.761991:0.726495:0.745602:0.717503:0.745602:0.000000
Solución:@0.287254:0.770206:0.351032:0.770206:0.351032:0.753568:0.287254:0.753568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.287254:0.792833:0.305977:0.792833:0.305977:0.775932:0.287254:0.775932:0.000000:0.000000:0.000000
Convertimos –:@0.310989:0.792833:0.418184:0.794714:0.418184:0.778325:0.310989:0.776444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.425463:0.785917:0.434456:0.785917:0.434456:0.769529:0.425463:0.769529:0.000000
4:@0.425463:0.805086:0.434456:0.805086:0.434456:0.788697:0.425463:0.788697:0.000000
 en fracción mixta  –:@0.440869:0.792846:0.597418:0.793992:0.597418:0.777603:0.440869:0.776458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.603518:0.785196:0.612510:0.785196:0.612510:0.768807:0.603518:0.768807:0.000000
=:@0.616960:0.794621:0.628941:0.794621:0.628941:0.776772:0.616960:0.776772:0.000000
−:@0.632655:0.793363:0.643638:0.793363:0.643638:0.777002:0.632655:0.777002:0.000000
 1 . Ubicamos en la recta la parte :@0.642901:0.793363:0.907907:0.792838:0.907907:0.776449:0.642901:0.776974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.658030:0.785189:0.667023:0.785189:0.667023:0.768801:0.658030:0.768801:0.000000
4:@0.603503:0.804358:0.612495:0.804358:0.612495:0.787969:0.603503:0.787969:0.000000
4:@0.658030:0.804358:0.667023:0.804358:0.667023:0.787969:0.658030:0.787969:0.000000
entera, dividimos entre –1 y –2 en cuatro partes iguales y contamos tres de estas :@0.310982:0.815464:0.907907:0.815464:0.907907:0.799075:0.310982:0.799075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia la izquierda de –1. :@0.310982:0.838090:0.489802:0.838090:0.489802:0.821702:0.310982:0.821702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287247:0.854687:0.303464:0.854687:0.303464:0.837786:0.287247:0.837786:0.000000:0.000000
  Dividimos entre 0 y 1 en tres partes iguales y contamos una de estas hacia la dere-:@0.303464:0.854687:0.903790:0.854687:0.903790:0.838298:0.303464:0.838298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cha de 0.:@0.310982:0.871283:0.375203:0.871283:0.375203:0.854894:0.310982:0.854894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Termina clases:@0.310927:0.278433:0.417181:0.278433:0.417181:0.262044:0.310927:0.262044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13:00:@0.344465:0.295029:0.383642:0.295029:0.383642:0.278641:0.344465:0.278641:0.000000:0.000000:0.000000:0.000000:0.000000
Llega a casa:@0.474878:0.278433:0.562630:0.278433:0.562630:0.262044:0.474878:0.262044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13:45:@0.499165:0.295029:0.538342:0.295029:0.538342:0.278641:0.499165:0.278641:0.000000:0.000000:0.000000:0.000000:0.000000
Llega a la piscina:@0.380104:0.321874:0.503551:0.321874:0.503551:0.305485:0.380104:0.305485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:00:@0.422230:0.338470:0.461407:0.338470:0.461407:0.322082:0.422230:0.322082:0.000000:0.000000:0.000000:0.000000:0.000000
Almuerza:@0.636470:0.278433:0.706382:0.278433:0.706382:0.262044:0.636470:0.262044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
14:00:@0.651838:0.295029:0.691015:0.295029:0.691015:0.278641:0.651838:0.278641:0.000000:0.000000:0.000000:0.000000:0.000000
Sale de la piscina:@0.532335:0.321874:0.656648:0.321874:0.656648:0.305485:0.532335:0.305485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:00:@0.574903:0.338470:0.614080:0.338470:0.614080:0.322082:0.574903:0.322082:0.000000:0.000000:0.000000:0.000000:0.000000
Sale hacia la piscina:@0.755402:0.278433:0.899432:0.278433:0.899432:0.262044:0.755402:0.262044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
14:30:@0.807828:0.295029:0.847005:0.295029:0.847005:0.278641:0.807828:0.278641:0.000000:0.000000:0.000000:0.000000:0.000000
Llega a la casa:@0.698460:0.321874:0.802521:0.321874:0.802521:0.305485:0.698460:0.305485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16:30:@0.730893:0.338470:0.770070:0.338470:0.770070:0.322082:0.730893:0.322082:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.082476:0.884699:0.094571:0.884699:0.094571:0.865864:0.082476:0.865864:0.000000
: Números naturales:@0.096834:0.881689:0.216289:0.881689:0.216289:0.868279:0.096834:0.868279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.082937:0.897717:0.094111:0.897717:0.094111:0.878882:0.082937:0.878882:0.000000
: Números enteros:@0.096834:0.894262:0.206474:0.894262:0.206474:0.880853:0.096834:0.880853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.082007:0.910917:0.095041:0.910917:0.095041:0.892083:0.082007:0.892083:0.000000
: Números racionales:@0.096834:0.906835:0.221521:0.906835:0.221521:0.893426:0.096834:0.893426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto de los números racionales   está definido como el cociente entre :@0.298701:0.493452:0.895996:0.493452:0.895996:0.477063:0.298701:0.477063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.592751:0.496619:0.607088:0.496619:0.607088:0.475901:0.592751:0.475901:0.000000
dos números enteros de la siguiente manera::@0.298701:0.510048:0.628700:0.510048:0.628700:0.493659:0.298701:0.493659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.507300:0.545372:0.518050:0.545372:0.518050:0.528825:0.507300:0.528825:0.000000
a:@0.532284:0.535658:0.542133:0.535658:0.542133:0.518274:0.532284:0.518274:0.000000
b:@0.532089:0.556201:0.541938:0.556201:0.541938:0.538817:0.532089:0.538817:0.000000
/ ,:@0.547174:0.544651:0.571180:0.544651:0.571180:0.527238:0.547174:0.527238:0.000000:0.000000:0.000000
a b:@0.557278:0.544651:0.582262:0.544651:0.582262:0.527267:0.557278:0.527267:0.000000:0.000000:0.000000
 con :@0.616978:0.544651:0.654298:0.544651:0.654298:0.527238:0.616978:0.527238:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.654082:0.544651:0.663931:0.544651:0.663931:0.527267:0.654082:0.527267:0.000000
0:@0.680409:0.544651:0.689965:0.544651:0.689965:0.527238:0.680409:0.527238:0.000000
Los números racionales se pueden expresar como una fracción o como un :@0.298701:0.576045:0.895959:0.576045:0.895959:0.559656:0.298701:0.559656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número decimal.:@0.298701:0.592641:0.422865:0.592641:0.422865:0.576252:0.298701:0.576252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.110800:0.824454:0.118158:0.824454:0.118158:0.811045:0.110800:0.811045:0.000000
−3:@0.095723:0.804334:0.112066:0.804334:0.112066:0.790925:0.095723:0.790925:0.000000:0.000000
−1:@0.125877:0.786727:0.142221:0.786727:0.142221:0.773318:0.125877:0.773318:0.000000:0.000000
−4:@0.159378:0.793019:0.175722:0.793019:0.175722:0.779610:0.159378:0.779610:0.000000:0.000000
0:@0.172782:0.837026:0.180140:0.837026:0.180140:0.823616:0.172782:0.823616:0.000000
0,1:@0.211726:0.835136:0.229065:0.835136:0.229065:0.821727:0.211726:0.821727:0.000000:0.000000:0.000000
−3,11:@0.204323:0.789386:0.238006:0.789386:0.238006:0.775977:0.204323:0.775977:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.126676:0.818174:0.134034:0.818174:0.134034:0.804764:0.126676:0.804764:0.000000
3:@0.123329:0.837037:0.130687:0.837037:0.130687:0.823628:0.123329:0.823628:0.000000
0,5:@0.102848:0.772919:0.120186:0.772919:0.120186:0.759510:0.102848:0.759510:0.000000:0.000000:0.000000
–:@0.185398:0.767815:0.192937:0.767815:0.192937:0.754406:0.185398:0.754406:0.000000
1:@0.195696:0.761523:0.203053:0.761523:0.203053:0.748114:0.195696:0.748114:0.000000
3:@0.195696:0.777558:0.203053:0.777558:0.203053:0.764149:0.195696:0.764149:0.000000
:@0.140605:0.831933:0.152701:0.831933:0.152701:0.813099:0.140605:0.813099:0.000000
:@0.182888:0.821045:0.194062:0.821045:0.194062:0.802211:0.182888:0.802211:0.000000
:@0.228857:0.811817:0.241890:0.811817:0.241890:0.792982:0.228857:0.792982:0.000000
1:@0.150571:0.752564:0.157929:0.752564:0.157929:0.739155:0.150571:0.739155:0.000000
3:@0.150571:0.768598:0.157929:0.768598:0.157929:0.755189:0.150571:0.755189:0.000000
7:@0.129793:0.492406:0.137969:0.492406:0.137969:0.477507:0.129793:0.477507:0.000000
= 2:@0.145524:0.500892:0.171239:0.499949:0.171239:0.485050:0.145524:0.485993:0.000000:0.000000:0.000000
1:@0.177303:0.492406:0.185478:0.492406:0.185478:0.477507:0.177303:0.477507:0.000000
3:@0.129793:0.511894:0.137969:0.511894:0.137969:0.496995:0.129793:0.496995:0.000000
3:@0.177303:0.511894:0.185478:0.511894:0.185478:0.496995:0.177303:0.496995:0.000000
1:@0.125009:0.543560:0.133184:0.543560:0.133184:0.528661:0.125009:0.528661:0.000000
2:@0.139248:0.536016:0.147424:0.536016:0.147424:0.521117:0.139248:0.521117:0.000000
=:@0.157341:0.544503:0.167325:0.544503:0.167325:0.529604:0.157341:0.529604:0.000000
5:@0.177243:0.536016:0.185418:0.536016:0.185418:0.521117:0.177243:0.521117:0.000000
3:@0.139232:0.555504:0.147407:0.555504:0.147407:0.540605:0.139232:0.540605:0.000000
3:@0.177243:0.555504:0.185418:0.555504:0.185418:0.540605:0.177243:0.540605:0.000000
–2:@0.344963:0.922836:0.357400:0.922836:0.357400:0.910916:0.344963:0.910916:0.000000:0.000000
–1 :@0.453505:0.921327:0.468877:0.921327:0.468877:0.909408:0.453505:0.909408:0.000000:0.000000:0.000000
1:@0.672492:0.921327:0.679032:0.921327:0.679032:0.909408:0.672492:0.909408:0.000000
2:@0.782683:0.921327:0.789223:0.921327:0.789223:0.909408:0.782683:0.909408:0.000000
0:@0.564459:0.921327:0.571898:0.921327:0.571898:0.908864:0.564459:0.908864:0.000000
–:@0.365922:0.886449:0.372623:0.886449:0.372623:0.874530:0.365922:0.874530:0.000000
7:@0.376804:0.881420:0.383344:0.881420:0.383344:0.869500:0.376804:0.869500:0.000000
4:@0.376804:0.892735:0.383344:0.892735:0.383344:0.880816:0.376804:0.880816:0.000000
1:@0.601469:0.881145:0.608009:0.881145:0.608009:0.869226:0.601469:0.869226:0.000000
3:@0.601469:0.892461:0.608009:0.892461:0.608009:0.880542:0.601469:0.880542:0.000000
En la fracción  ,   es el :@0.088762:0.216002:0.248570:0.216002:0.248570:0.201103:0.088762:0.201103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.184988:0.208388:0.193330:0.208388:0.193330:0.193662:0.184988:0.193662:0.000000
b:@0.184798:0.225962:0.193140:0.225962:0.193140:0.211237:0.184798:0.211237:0.000000
a:@0.203087:0.216002:0.211513:0.216002:0.211513:0.201128:0.203087:0.201128:0.000000
numerador e indica las :@0.092957:0.237376:0.248570:0.237376:0.248570:0.222477:0.092957:0.222477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partes que se toma de la :@0.080694:0.252464:0.248568:0.252464:0.248568:0.237565:0.080694:0.237565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidad; y   es el :@0.138255:0.267551:0.248570:0.267551:0.248570:0.252652:0.138255:0.252652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.203087:0.267551:0.211513:0.267551:0.211513:0.252677:0.203087:0.252677:0.000000
denominador e indica :@0.097362:0.282639:0.248570:0.282639:0.248570:0.267740:0.097362:0.267740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las partes en las que se :@0.092487:0.297726:0.248568:0.297726:0.248568:0.282827:0.092487:0.282827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
divide la unidad. Si | | <| |, :@0.069302:0.312814:0.248568:0.312814:0.248568:0.297915:0.069302:0.297915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.200824:0.312814:0.209250:0.312814:0.209250:0.297940:0.200824:0.297940:0.000000
b:@0.230006:0.312814:0.238433:0.312814:0.238433:0.297940:0.230006:0.297940:0.000000
la fracción se denomina :@0.086155:0.327902:0.248570:0.327902:0.248570:0.313003:0.086155:0.313003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propia; caso contrario, :@0.097966:0.342989:0.248568:0.342989:0.248568:0.328090:0.097966:0.328090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es impropia.  :@0.163451:0.358077:0.248568:0.358077:0.248568:0.343178:0.163451:0.343178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las fracciones mixtas :@0.104901:0.373164:0.248568:0.373164:0.248568:0.358265:0.104901:0.358265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
están compuestas de :@0.102539:0.388252:0.248570:0.388252:0.248570:0.373353:0.102539:0.373353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una parte entera y :@0.122759:0.403340:0.248568:0.403340:0.248568:0.388441:0.122759:0.388441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una fracción propia. :@0.112624:0.418427:0.248568:0.418427:0.248568:0.403528:0.112624:0.403528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Toda fracción impropia se :@0.073440:0.437073:0.248568:0.437073:0.248568:0.422174:0.073440:0.422174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede transformar en una :@0.070475:0.452161:0.248568:0.452161:0.248568:0.437262:0.070475:0.437262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracción mixta y viceversa.:@0.071815:0.467248:0.244899:0.467248:0.244899:0.452349:0.071815:0.452349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115942:0.172748:0.223483:0.172748:0.223483:0.155847:0.115942:0.155847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000