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cat este 4,1(6) .............

Răspuns :

[tex]4,1(6)=4 \frac{16-1}{90}= 4\frac{15}{90}= 4\frac{1}{6}= \frac{25}{6} [/tex]
4,1(6) = 4 + 0,1(6) = 4 + 1,(6) : 10 =
= 4 + ( 1 + 0,(6) ): 10 = 4 + (1+ 6/9):10 =
= 4 + (15/9):10 = 4 +(5/3):10 =
= 4 + 5/30 = 4 + 1/6 = (24+1)/6= 25/6