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0,8454545...=x-->/(*10)
8+0,454545...=10x
0,(45)=y--->(*100)
45,454545...=100y
45+0,454545...=100y
ale przecież: 0,(45)=y
więc:
45+y=100y
45=99y
y=45/99
Więc:
8+0,(45)=10x
10x=8+45/99
10x=837/99
x=837/990
Ta da :)