55:@0.942817:0.963100:0.961632:0.963100:0.961632:0.946476:0.942817:0.946476:0.000000:0.000000 M.3.1.34. Representar fracciones en la semirrecta numérica y gráficamente, para expresar y resolver situaciones cotidianas.:@0.105857:0.092104:0.698000:0.092104:0.698000:0.081525:0.105857:0.081525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.096359:0.133739:0.179766:0.133739:0.179766:0.115604:0.096359:0.115604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determinar si son fracciones equivalentes.:@0.096359:0.158966:0.432232:0.158966:0.432232:0.141087:0.096359:0.141087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.096359:0.210610:0.111758:0.210610:0.111758:0.192475:0.096359:0.192475:0.000000:0.000000 :@0.111758:0.210610:0.120563:0.210610:0.120563:0.192732:0.111758:0.192732:0.000000:0.000000 =:@0.149426:0.212153:0.160179:0.212153:0.160179:0.195600:0.149426:0.195600:0.000000 3:@0.128056:0.201936:0.137614:0.201936:0.137614:0.184516:0.128056:0.184516:0.000000 2:@0.127860:0.222532:0.137418:0.222532:0.137418:0.205112:0.127860:0.205112:0.000000 9:@0.172852:0.201936:0.182411:0.201936:0.182411:0.184516:0.172852:0.184516:0.000000 6:@0.173048:0.222532:0.182607:0.222532:0.182607:0.205112:0.173048:0.205112:0.000000 :@0.198579:0.210622:0.202981:0.210622:0.202981:0.192743:0.198579:0.192743:0.000000 :@0.216973:0.210622:0.221235:0.210622:0.221235:0.192486:0.216973:0.192486:0.000000 b):@0.277281:0.210622:0.298631:0.210622:0.298631:0.192486:0.277281:0.192486:0.000000:0.000000:0.000000 :@0.298631:0.210622:0.311838:0.210622:0.311838:0.192743:0.298631:0.192743:0.000000:0.000000:0.000000 =:@0.331534:0.213408:0.342877:0.213408:0.342877:0.195947:0.331534:0.195947:0.000000 8:@0.316038:0.202632:0.326121:0.202632:0.326121:0.184257:0.316038:0.184257:0.000000 3:@0.316469:0.224358:0.326551:0.224358:0.326551:0.205983:0.316469:0.205983:0.000000 24:@0.348322:0.202632:0.368301:0.202632:0.368301:0.184257:0.348322:0.184257:0.000000:0.000000 12:@0.348106:0.224358:0.368085:0.224358:0.368085:0.205983:0.348106:0.205983:0.000000:0.000000 :@0.375631:0.210622:0.384437:0.210622:0.384437:0.192743:0.375631:0.192743:0.000000:0.000000 c):@0.458214:0.210622:0.472929:0.210622:0.472929:0.192486:0.458214:0.192486:0.000000:0.000000 :@0.472929:0.210622:0.481734:0.210622:0.481734:0.192743:0.472929:0.192743:0.000000:0.000000 =:@0.507158:0.215005:0.518760:0.215005:0.518760:0.197145:0.507158:0.197145:0.000000 2:@0.488886:0.203983:0.499199:0.203983:0.499199:0.185187:0.488886:0.185187:0.000000 11 88:@0.484702:0.226205:0.544764:0.226205:0.544764:0.207409:0.484702:0.207409:0.000000:0.000000:0.000000:0.000000:0.000000 16:@0.523672:0.203983:0.544109:0.203983:0.544109:0.185187:0.523672:0.185187:0.000000:0.000000 Solución:@0.096359:0.253960:0.169152:0.253960:0.169152:0.235824:0.096359:0.235824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Multiplicamos en diagonal::@0.096359:0.279186:0.312626:0.279186:0.312626:0.261307:0.096359:0.261307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.096359:0.330816:0.111758:0.330816:0.111758:0.312681:0.096359:0.312681:0.000000:0.000000 :@0.111758:0.330816:0.120563:0.330816:0.120563:0.312937:0.111758:0.312937:0.000000:0.000000 =:@0.149426:0.331987:0.160179:0.331987:0.160179:0.315434:0.149426:0.315434:0.000000 3:@0.128053:0.321771:0.137611:0.321771:0.137611:0.304351:0.128053:0.304351:0.000000 2:@0.127848:0.342368:0.137407:0.342368:0.137407:0.324948:0.127848:0.324948:0.000000 9:@0.172839:0.321771:0.182397:0.321771:0.182397:0.304351:0.172839:0.304351:0.000000 6:@0.173043:0.342368:0.182602:0.342368:0.182602:0.324948:0.173043:0.324948:0.000000 :@0.206888:0.330830:0.211290:0.330830:0.211290:0.312951:0.206888:0.312951:0.000000 :@0.216980:0.330830:0.221241:0.330830:0.221241:0.312695:0.216980:0.312695:0.000000 b) :@0.277288:0.330830:0.302899:0.330830:0.302899:0.312695:0.277288:0.312695:0.000000:0.000000:0.000000:0.000000 :@0.302899:0.330830:0.311704:0.330830:0.311704:0.312951:0.302899:0.312951:0.000000:0.000000 =:@0.331393:0.333614:0.342736:0.333614:0.342736:0.316154:0.331393:0.316154:0.000000 8:@0.315897:0.322840:0.325980:0.322840:0.325980:0.304465:0.315897:0.304465:0.000000 3:@0.316328:0.344566:0.326411:0.344566:0.326411:0.326191:0.316328:0.326191:0.000000 24:@0.348181:0.322840:0.368160:0.322840:0.368160:0.304465:0.348181:0.304465:0.000000:0.000000 12:@0.347965:0.344566:0.367944:0.344566:0.367944:0.326191:0.347965:0.326191:0.000000:0.000000 :@0.375491:0.330830:0.384296:0.330830:0.384296:0.312951:0.375491:0.312951:0.000000:0.000000 c):@0.458214:0.330830:0.472929:0.330830:0.472929:0.312695:0.458214:0.312695:0.000000:0.000000 :@0.477191:0.330830:0.481594:0.330830:0.481594:0.312951:0.477191:0.312951:0.000000 =:@0.507017:0.335212:0.518620:0.335212:0.518620:0.317352:0.507017:0.317352:0.000000 2:@0.488745:0.324191:0.499059:0.324191:0.499059:0.305395:0.488745:0.305395:0.000000 11 88:@0.484561:0.346413:0.544623:0.346413:0.544623:0.327617:0.484561:0.327617:0.000000:0.000000:0.000000:0.000000:0.000000 16:@0.523532:0.324191:0.543968:0.324191:0.543968:0.305395:0.523532:0.305395:0.000000:0.000000 De acuerdo con los productos, las parejas a y c son fracciones equivalentes.:@0.096359:0.403250:0.694697:0.403250:0.694697:0.385372:0.096359:0.385372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Fracciones equivalentes por amplificación y simplificación:@0.096359:0.441284:0.639351:0.441284:0.639351:0.421310:0.096359:0.421310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 2:@0.096359:0.565323:0.179766:0.565323:0.179766:0.547187:0.096359:0.547187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.518521:0.565323:0.591314:0.565323:0.591314:0.547187:0.518521:0.547187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Obtener una fracción equivalente a :@0.096361:0.635390:0.383244:0.635390:0.383244:0.617511:0.096361:0.617511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.383248:0.652997:0.387650:0.652997:0.387650:0.635118:0.383248:0.635118:0.000000 8:@0.391829:0.625064:0.401884:0.625064:0.401884:0.606741:0.391829:0.606741:0.000000 5:@0.392260:0.646729:0.402314:0.646729:0.402314:0.628405:0.392260:0.628405:0.000000 .:@0.406531:0.635396:0.414432:0.635396:0.414432:0.617517:0.406531:0.617517:0.000000:0.000000 Obtener una fracción equivalente a .:@0.096364:0.851586:0.410058:0.851591:0.410058:0.833713:0.096364:0.833707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.388397:0.838185:0.396626:0.838185:0.396626:0.823188:0.388397:0.823188:0.000000 8:@0.388228:0.855916:0.396457:0.855916:0.396457:0.840919:0.388228:0.840919:0.000000 Ejemplo 3:@0.096352:0.800097:0.179759:0.800097:0.179759:0.781962:0.096352:0.781962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Solución:@0.518513:0.800097:0.591305:0.800097:0.591305:0.781962:0.518513:0.781962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.074396:0.373225:0.082920:0.373225:0.082920:0.355089:0.074396:0.355089:0.000000:0.000000 :@0.082920:0.373225:0.091725:0.373225:0.091725:0.355346:0.082920:0.355346:0.000000:0.000000 18 = 18 96 ≠ 72 176 = 176:@0.091725:0.373225:0.577591:0.373225:0.577591:0.355346:0.091725:0.355346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.534123:0.636794:0.543885:0.636794:0.543885:0.621766:0.534123:0.621766:0.000000 8:@0.520785:0.627518:0.529463:0.627518:0.529463:0.611703:0.520785:0.611703:0.000000 5:@0.521159:0.646217:0.529837:0.646217:0.529837:0.630401:0.521159:0.630401:0.000000 40:@0.549309:0.627518:0.566505:0.627518:0.566505:0.611703:0.549309:0.611703:0.000000:0.000000 25:@0.549309:0.646217:0.566505:0.646217:0.566505:0.630401:0.549309:0.630401:0.000000:0.000000 =:@0.543782:0.876312:0.553265:0.876312:0.553265:0.861594:0.543782:0.861594:0.000000 9:@0.528133:0.867227:0.536562:0.867227:0.536562:0.851739:0.528133:0.851739:0.000000 21 7:@0.525438:0.885540:0.565891:0.885540:0.565891:0.870051:0.525438:0.870051:0.000000:0.000000:0.000000:0.000000 3:@0.557997:0.867227:0.566426:0.867227:0.566426:0.851739:0.557997:0.851739:0.000000 Fracciones equivalentes :@0.732714:0.178898:0.895428:0.178898:0.895428:0.163999:0.732714:0.163999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por amplificación::@0.732714:0.195242:0.852075:0.195242:0.852075:0.180343:0.732714:0.180343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Fracciones equivalentes :@0.732714:0.314699:0.895428:0.314699:0.895428:0.299800:0.732714:0.299800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 por simplificación::@0.732714:0.331044:0.854219:0.331044:0.854219:0.316145:0.732714:0.316145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.782693:0.141753:0.883804:0.141753:0.883804:0.124977:0.782693:0.124977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática:@0.782693:0.155583:0.870722:0.155583:0.870722:0.138807:0.782693:0.138807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.775979:0.274373:0.785427:0.274373:0.785427:0.259829:0.775979:0.259829:0.000000 8:@0.763071:0.265398:0.771469:0.265398:0.771469:0.250092:0.763071:0.250092:0.000000 5:@0.763432:0.283494:0.771831:0.283494:0.771831:0.268188:0.763432:0.268188:0.000000 40 8 40:@0.790679:0.265398:0.836935:0.264853:0.836935:0.249546:0.790679:0.250092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 25 5 25:@0.790679:0.283494:0.836935:0.282949:0.836935:0.267643:0.790679:0.268188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.833644:0.272968:0.843092:0.272968:0.843092:0.258424:0.833644:0.258424:0.000000 40:@0.848344:0.263995:0.864986:0.263995:0.864986:0.248688:0.848344:0.248688:0.000000:0.000000 25:@0.848344:0.282091:0.864986:0.282091:0.864986:0.266785:0.848344:0.266785:0.000000:0.000000 =:@0.805595:0.273830:0.815043:0.273830:0.815043:0.259286:0.805595:0.259286:0.000000 8:@0.792687:0.264853:0.801086:0.264853:0.801086:0.249546:0.792687:0.249546:0.000000 5:@0.793049:0.282949:0.801447:0.282949:0.801447:0.267643:0.793049:0.267643:0.000000 =:@0.782554:0.368571:0.790891:0.368571:0.790891:0.355738:0.782554:0.355738:0.000000 9:@0.768796:0.360650:0.776206:0.360650:0.776206:0.347144:0.768796:0.347144:0.000000 21 7 21 7:@0.766427:0.376617:0.830826:0.377342:0.830826:0.363837:0.766427:0.363112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 9:@0.795052:0.360650:0.805041:0.361375:0.805041:0.347870:0.795052:0.347144:0.000000:0.000000:0.000000 =:@0.837098:0.369284:0.845435:0.369284:0.845435:0.356450:0.837098:0.356450:0.000000 9 3:@0.823340:0.361363:0.831296:0.361375:0.831296:0.347870:0.823340:0.347857:0.000000:0.000000:0.000000 21 7:@0.820971:0.377330:0.856535:0.377330:0.856535:0.363824:0.820971:0.363824:0.000000:0.000000:0.000000:0.000000 3:@0.849596:0.361363:0.857006:0.361363:0.857006:0.347857:0.849596:0.347857:0.000000 =:@0.811388:0.369296:0.819725:0.369296:0.819725:0.356463:0.811388:0.356463:0.000000 Ingresa:@0.744774:0.767484:0.795919:0.767484:0.795919:0.752371:0.744774:0.752371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 al siguiente :@0.795919:0.767484:0.879646:0.767484:0.879646:0.752585:0.795919:0.752585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 enlace web, para que :@0.744774:0.783829:0.890769:0.783829:0.890769:0.768930:0.744774:0.768930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 amplíes el tema de :@0.744774:0.800174:0.874888:0.800174:0.874888:0.785275:0.744774:0.785275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fracciones equivalentes. :@0.744774:0.816519:0.911038:0.816519:0.911038:0.801620:0.744774:0.801620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lynk.ec/6m08:@0.744774:0.832864:0.834684:0.832864:0.834684:0.817739:0.744774:0.817739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.793327:0.730973:0.894438:0.730973:0.894438:0.714197:0.793327:0.714197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 digital:@0.793327:0.744804:0.841073:0.744804:0.841073:0.728028:0.793327:0.728028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@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