58:@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
Expresión decimal :@0.286308:0.063945:0.612135:0.063945:0.612135:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números racionales:@0.286308:0.094120:0.678555:0.094120:0.678555:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Los números decimales son una parte esencial de la vida cotidiana y se emplean en :@0.286666:0.149758:0.907678:0.149758:0.907678:0.133369:0.286666:0.133369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muchas situaciones, por ejemplo mediciones, dinero, tiempo, reparticiones, calificacio-:@0.286666:0.166355:0.903684:0.166355:0.903684:0.149966:0.286666:0.149966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes, y otros, que requieren de mayor precisión que la proporcionada por números :@0.286666:0.182951:0.907678:0.182951:0.907678:0.166562:0.286666:0.166562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros.:@0.286666:0.199547:0.343626:0.199547:0.343626:0.183159:0.286666:0.183159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión decimal:@0.286666:0.239433:0.471666:0.239433:0.471666:0.217923:0.286666:0.217923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una frutería, el kilo de manzanas cuesta $2,10. Si Carmen quiere comprar medio :@0.286666:0.265778:0.907622:0.265778:0.907622:0.249389:0.286666:0.249389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
kilo de manzanas, ¿cuánto tiene que pagar? ¿Cómo se expresa esta cantidad en en :@0.286666:0.282375:0.907678:0.282375:0.907678:0.265986:0.286666:0.265986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracción? :@0.286666:0.298971:0.356323:0.298971:0.356323:0.282582:0.286666:0.282582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para saber cuánto dinero tiene que pagar Carmen, se toma la mitad del precio. :@0.286666:0.317352:0.864936:0.317352:0.864936:0.300963:0.286666:0.300963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por un kilo paga $2,10. Por  kilo, paga $1,05. :@0.286666:0.343532:0.619133:0.343526:0.619133:0.327137:0.286666:0.327143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.484482:0.335518:0.493475:0.335518:0.493475:0.319129:0.484482:0.319129:0.000000
2:@0.484482:0.354687:0.493475:0.354687:0.493475:0.338298:0.484482:0.338298:0.000000
©:@0.066875:0.202242:0.066875:0.197135:0.054793:0.197135:0.054793:0.202242:0.000000
Shutterstock:@0.066875:0.197135:0.066875:0.159416:0.054964:0.159416:0.054964:0.197135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para expresar fracciones decimales en forma decimal, se escribe el numerador y, :@0.301742:0.482609:0.894227:0.482609:0.894227:0.466220:0.301742:0.466220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a partir de la derecha, se separan con una coma tantas cifras como ceros tiene el :@0.301742:0.499205:0.894244:0.499205:0.894244:0.482816:0.301742:0.482816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominador.:@0.301742:0.515801:0.405211:0.515801:0.405211:0.499413:0.301742:0.499413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.920815:0.391144:0.920815:0.386037:0.908733:0.386037:0.908733:0.391144:0.000000
Shutterstock:@0.920815:0.386037:0.920815:0.348318:0.908904:0.348318:0.908904:0.386037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El precio se expresa en fracción como: 1,05 1:@0.287693:0.426663:0.626011:0.426663:0.626011:0.410274:0.287693:0.410274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.634930:0.416912:0.643923:0.416912:0.643923:0.400523:0.634930:0.400523:0.000000
100:@0.625180:0.438057:0.651753:0.438057:0.651753:0.421669:0.625180:0.421669:0.000000:0.000000:0.000000
105:@0.672715:0.416918:0.699288:0.416918:0.699288:0.400530:0.672715:0.400530:0.000000:0.000000:0.000000
100:@0.672348:0.438057:0.698921:0.438057:0.698921:0.421669:0.672348:0.421669:0.000000:0.000000:0.000000
=:@0.657062:0.427716:0.668098:0.427716:0.668098:0.410728:0.657062:0.410728:0.000000
=:@0.604240:0.427340:0.614356:0.427340:0.614356:0.411767:0.604240:0.411767:0.000000
Se lee: un dólar con cinco centavos.:@0.287690:0.450382:0.548400:0.450382:0.548400:0.433993:0.287690:0.433993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.287690:0.548840:0.358046:0.548840:0.358046:0.532202:0.287690:0.532202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.287690:0.572559:0.301916:0.572559:0.301916:0.555658:0.287690:0.555658:0.000000:0.000000
  Convertimos los números dados a notación decimal o fraccionaria, según sea :@0.301916:0.572559:0.907675:0.572559:0.907675:0.556170:0.301916:0.556170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el caso.:@0.311425:0.589155:0.364441:0.589155:0.364441:0.572766:0.311425:0.572766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.287690:0.620633:0.291504:0.620633:0.291504:0.603732:0.287690:0.603732:0.000000
a)  :@0.311434:0.620633:0.333971:0.620633:0.333971:0.603732:0.311434:0.603732:0.000000:0.000000:0.000000:0.000000
=:@0.360147:0.620066:0.370264:0.620066:0.370264:0.604493:0.360147:0.604493:0.000000
4:@0.342143:0.609638:0.351136:0.609638:0.351136:0.593249:0.342143:0.593249:0.000000
10:@0.337021:0.630770:0.354803:0.630770:0.354803:0.614381:0.337021:0.614381:0.000000:0.000000
0,4:@0.374079:0.619374:0.398514:0.619374:0.398514:0.602985:0.374079:0.602985:0.000000:0.000000:0.000000
               b):@0.404337:0.620633:0.477933:0.620633:0.477933:0.603732:0.404337:0.603732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.480910:0.620066:0.491027:0.620066:0.491027:0.604493:0.480910:0.604493:0.000000
= −:@0.525616:0.620066:0.550032:0.620066:0.550032:0.604493:0.525616:0.604493:0.000000:0.000000:0.000000
175:@0.494049:0.609638:0.520622:0.609638:0.520622:0.593249:0.494049:0.593249:0.000000:0.000000:0.000000
100:@0.493681:0.630770:0.520253:0.630770:0.520253:0.614381:0.493681:0.614381:0.000000:0.000000:0.000000
1,75:@0.549848:0.619374:0.578835:0.619374:0.578835:0.602985:0.549848:0.602985:0.000000:0.000000:0.000000:0.000000
  :@0.582852:0.620633:0.593037:0.620633:0.593037:0.603732:0.582852:0.603732:0.000000:0.000000
c)  :@0.649530:0.620633:0.670980:0.620633:0.670980:0.603732:0.649530:0.603732:0.000000:0.000000:0.000000:0.000000
=:@0.699524:0.621323:0.709641:0.621323:0.709641:0.605750:0.699524:0.605750:0.000000
5,5:@0.673615:0.620645:0.696539:0.620645:0.696539:0.604256:0.673615:0.604256:0.000000:0.000000:0.000000
55:@0.715022:0.610895:0.732804:0.610895:0.732804:0.594506:0.715022:0.594506:0.000000:0.000000
10:@0.714082:0.632028:0.731864:0.632028:0.731864:0.615639:0.714082:0.615639:0.000000:0.000000
Todo número fraccionario, sea fracción decimal o fracción común, puede expresarse :@0.287703:0.649343:0.907736:0.649343:0.907736:0.632954:0.287703:0.632954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como número decimal, si se divide el numerador para el denominador.:@0.287703:0.665940:0.806918:0.665940:0.806918:0.649551:0.287703:0.649551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.287703:0.689659:0.301929:0.689659:0.301929:0.672758:0.287703:0.672758:0.000000:0.000000
  Expresamos como número decimal: :@0.301929:0.689659:0.578681:0.689659:0.578681:0.673270:0.301929:0.673270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.312544:0.718827:0.331266:0.718827:0.331266:0.701926:0.312544:0.701926:0.000000:0.000000:0.000000
Fracción decimal :@0.336278:0.718827:0.464479:0.718827:0.464479:0.702438:0.336278:0.702438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,17:@0.514155:0.716645:0.547948:0.716645:0.547948:0.698766:0.514155:0.698766:0.000000:0.000000:0.000000:0.000000
17:@0.471907:0.706587:0.489690:0.706587:0.489690:0.690198:0.471907:0.690198:0.000000:0.000000
100:@0.467510:0.727726:0.494083:0.727726:0.494083:0.711337:0.467510:0.711337:0.000000:0.000000:0.000000
=:@0.499391:0.717385:0.510428:0.717385:0.510428:0.700396:0.499391:0.700396:0.000000
 :@0.551587:0.718845:0.555401:0.718845:0.555401:0.701945:0.551587:0.701945:0.000000
      b)   :@0.589236:0.718845:0.639783:0.718845:0.639783:0.701945:0.589236:0.701945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracción común :@0.639783:0.718845:0.762364:0.718845:0.762364:0.702457:0.639783:0.702457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,6:@0.790960:0.712712:0.812165:0.712712:0.812165:0.698036:0.790960:0.698036:0.000000:0.000000:0.000000
2:@0.767411:0.704456:0.774793:0.704456:0.774793:0.691003:0.767411:0.691003:0.000000
3:@0.767578:0.721803:0.774960:0.721803:0.774960:0.708350:0.767578:0.708350:0.000000
=:@0.778843:0.713319:0.787903:0.713319:0.787903:0.699374:0.778843:0.699374:0.000000
17       100:@0.372844:0.747914:0.451014:0.747914:0.451014:0.731525:0.372844:0.731525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.390829:0.747914:0.399822:0.747914:0.399822:0.731525:0.390829:0.731525:0.000000
 :@0.312530:0.771633:0.316566:0.771633:0.316566:0.755244:0.312530:0.755244:0.000000
  7     0,17 :@0.372838:0.771633:0.458250:0.771633:0.458250:0.755244:0.372838:0.755244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
00:@0.389902:0.771633:0.407888:0.771633:0.407888:0.755244:0.389902:0.755244:0.000000:0.000000
decimal exacto:@0.458249:0.771324:0.559566:0.771324:0.559566:0.756425:0.458249:0.756425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.312530:0.795362:0.316566:0.795362:0.316566:0.778973:0.312530:0.778973:0.000000
      :@0.372838:0.795362:0.397052:0.795362:0.397052:0.778973:0.372838:0.778973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.397052:0.795362:0.406045:0.795362:0.406045:0.778973:0.397052:0.778973:0.000000
        residuo cero:@0.312530:0.817263:0.424368:0.817263:0.424368:0.802364:0.312530:0.802364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
             2       3:@0.631895:0.747914:0.735550:0.747914:0.735550:0.731525:0.631895:0.731525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.693351:0.747914:0.702343:0.747914:0.702343:0.731525:0.693351:0.731525:0.000000
               2     0,66... :@0.631895:0.771633:0.770397:0.771633:0.770397:0.755244:0.631895:0.755244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.701422:0.771633:0.710415:0.771633:0.710415:0.755244:0.701422:0.755244:0.000000
decimal periódico:@0.770393:0.771324:0.890992:0.771324:0.890992:0.756425:0.770393:0.756425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.631895:0.795362:0.635930:0.795362:0.635930:0.778973:0.631895:0.778973:0.000000
  2:@0.692203:0.795362:0.709267:0.795362:0.709267:0.778973:0.692203:0.778973:0.000000:0.000000:0.000000
nunca llegará a cero el residuo.:@0.631895:0.817263:0.837376:0.817263:0.837376:0.802364:0.631895:0.802364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por lo tanto, los números decimales pueden ser exactos o periódicos. Los decimales :@0.287693:0.847015:0.907614:0.847015:0.907614:0.830626:0.287693:0.830626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
periódicos pueden ser puros o mixtos. Por ahora solo usaremos los números :@0.287693:0.863611:0.907599:0.863611:0.907599:0.847222:0.287693:0.847222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
periódicos puros, que son aquellos cuyas cifras que se repiten inician luego de la :@0.287693:0.880208:0.907691:0.880208:0.907691:0.863819:0.287693:0.863819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
coma decimal.:@0.287693:0.896804:0.394608:0.896804:0.394608:0.880415:0.287693:0.880415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,3 decimal exacto :@0.527326:0.906651:0.668036:0.906651:0.668036:0.890262:0.527326:0.890262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,333… decimal periódico puro se escribe  0,3:@0.424518:0.924257:0.763163:0.923704:0.763163:0.907315:0.424518:0.907868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
40           33:@0.099446:0.663036:0.172503:0.663036:0.172503:0.648137:0.099446:0.648137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  70         1,2121…:@0.100920:0.679168:0.218170:0.679168:0.218170:0.664269:0.100920:0.664269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    40:@0.099446:0.695299:0.130471:0.695299:0.130471:0.680400:0.099446:0.680400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      70:@0.099446:0.711430:0.137809:0.711430:0.137809:0.696531:0.099446:0.696531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        40:@0.099446:0.727561:0.145146:0.727561:0.145146:0.712662:0.099446:0.712662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números decimales en la :@0.107571:0.308330:0.262308:0.308330:0.262308:0.294921:0.107571:0.294921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
venta del productos.:@0.135328:0.321909:0.259006:0.321909:0.259006:0.308500:0.135328:0.308500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las fracciones decimales :@0.084807:0.427199:0.248428:0.427199:0.248428:0.412300:0.084807:0.412300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se escriben como :@0.127275:0.442287:0.248426:0.442287:0.248426:0.427388:0.127275:0.427388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números decimales. Así::@0.085260:0.457375:0.244758:0.457375:0.244758:0.442476:0.085260:0.442476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos fracciones son :@0.106418:0.531983:0.248428:0.531983:0.248428:0.517084:0.106418:0.517084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equivalentes, entonces :@0.091559:0.547071:0.248426:0.547071:0.248426:0.532172:0.091559:0.532172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponde el mismo :@0.094691:0.562158:0.248428:0.562158:0.248428:0.547259:0.094691:0.547259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número decimal.:@0.131882:0.577246:0.244758:0.577246:0.244758:0.562347:0.131882:0.562347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si calculamos el :@0.139437:0.595892:0.248428:0.595892:0.248428:0.580993:0.139437:0.580993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cociente de la fracción :@0.094423:0.610979:0.248428:0.610979:0.248428:0.596080:0.094423:0.596080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.244758:0.610979:0.248426:0.610979:0.248426:0.596080:0.244758:0.596080:0.000000
40:@0.121622:0.624020:0.137972:0.624020:0.137972:0.609121:0.121622:0.609121:0.000000:0.000000
33:@0.121622:0.642251:0.137972:0.642251:0.137972:0.627352:0.121622:0.627352:0.000000:0.000000
, obtendremos::@0.144036:0.629640:0.244750:0.629640:0.244750:0.614741:0.144036:0.614741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los residuos se repiten :@0.093377:0.748681:0.248419:0.748681:0.248419:0.733782:0.093377:0.733782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y, por lo tanto, la división :@0.080277:0.763769:0.248419:0.763769:0.248419:0.748870:0.080277:0.748870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nunca termina; entonces :@0.078585:0.778856:0.248419:0.778856:0.248419:0.763957:0.078585:0.763957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al grupo de números :@0.104735:0.793944:0.248419:0.793944:0.248419:0.779045:0.104735:0.779045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimales que se repiten :@0.077998:0.809032:0.248417:0.809032:0.248417:0.794133:0.077998:0.794133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los llamaremos período,:@0.085420:0.824119:0.244748:0.824119:0.244748:0.809220:0.085420:0.809220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se escribe así: 1,21:@0.112743:0.839207:0.244655:0.839414:0.244655:0.824515:0.112743:0.824308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.394759:0.223340:0.394759:0.223340:0.377858:0.115799:0.377858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.064271:0.479596:0.072446:0.479596:0.072446:0.464697:0.064271:0.464697:0.000000
=:@0.083570:0.489026:0.093554:0.489026:0.093554:0.474152:0.083570:0.474152:0.000000
numerador:@0.110240:0.479596:0.180868:0.479596:0.180868:0.464722:0.110240:0.464722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=  :@0.197721:0.489026:0.213736:0.489026:0.213736:0.474152:0.197721:0.474152:0.000000:0.000000:0.000000
0,9:@0.213736:0.489026:0.233001:0.489026:0.233001:0.474127:0.213736:0.474127:0.000000:0.000000:0.000000
10:@0.060200:0.497827:0.076551:0.497827:0.076551:0.482928:0.060200:0.482928:0.000000:0.000000
denominador:@0.102416:0.499084:0.188708:0.499084:0.188708:0.484210:0.102416:0.484210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000