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x=0,69696969...
100x=69,696969...
100x-x=69,696969...-0,69696969...
99x=69
x=69/99
x=0,74747474...
100x=74,747474...
100x-x=74,747474...-0,74747474...
99x=74
x=74/99
0,(69)+0,(74)=69/99+74/99=143/99=1 44/99=1,(44)
b)
x=1,313131...
100x=131,313131...
100x-x=131,313131...-1,313131...
99x=130
x=130/99
x=0,858585....
100x=85,858585...
100x-x=85,85858585...-0,858585...
99x=85
x=85/99
1,(31)-0,(85)=130/99-85/99=45/99=0,(45)
c)
x=0,545454...
100x=54,545454...
100x-x=54,545454...-0,545454...
99x=54
x=54/99
6*0,(54)=6*54/99=324/99=3,(27)